IC6501 CONTROL SYSTEMS


 Silvia Burke
 5 years ago
 Views:
Transcription
1 DHANALAKSHMI COLLEGE OF ENGINEERING CHENNAI DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING YEAR/SEMESTER: II/IV IC6501 CONTROL SYSTEMS UNIT I SYSTEMS AND THEIR REPRESENTATION 1. What is the mathematical model of a system? (April ) Mathematical model is the mathematical representation of the physical model of a system through use of appropriate physical laws. For most physical systems they are characterized by differential equations. A mathematical model may either be time variant or time invariant. 2. What is electrical analogous of a gear? (April ) Transformer is electrical analogous of a gear. 3. Explain Mason s gain formula for signal flow graphs. (Nov 2003) (April 2004) According to Mason's Gain formula, Overall gain, T = PkΔk/Δ Where, T = transfer function of the system, Pk = forward path gain of kth forward path Δ = 1  (sum of individual loop gain) + (sum of gain products of all possible Combinations of two nontouching loops)  (sum of gain products of all possible combination of three non touching loops)+... ΔK = Δ of the Kth forward path. 4. What is the force voltage analogy of a mechanical spring? (Nov 2004) The force voltage analogy of mechanical spring is reciprocal of capacitance (1/C) 5. Mention the merit and demerit of closed loop system.(april 2000)(Nov 2012) Merits: (a)the controlled variable accurately follows the desired value. (b)effect on the controlled variable of external disturbances other than those associated with the feed back sensor are greatly reduced. (c)effect on variation in controller and process parameters on system performance is reduced to acceptable levels. (d)it improves the speed of its response. Demerits:
2 (a)by increasing the number of components of the system, it increases the complexity. (b)the gain of the system is reduced. (c)introduces the possibility of instability 6. Compare closed and open loop system (May 2013). Closedloop control I. shows a closedloop action (closed control loop); II. III. can counteract against disturbances (negative feedback); can become unstable, i.e. the controlled variable does not fade away, but grows (theoretically) to an infinite value. Openloop control I. shows an openloop action (controlled chain); II. can only counteract against disturbances, for which it has been designed; other disturbances cannot be removed III. cannot become unstable  as long as the controlled object is stable 7. State the basic elements for modeling in translational and rotational systems (May 2013). Mass, Dash pot and spring 8. Define transfer function. (Nov 2012). The transfer function of a linear, timeinvariant system is defined as the ratio of the Laplace transform of the output (response function), to the Laplace transform of the input (driving function) under the assumption that all initial conditions are zero. 9. What is the principle of operation of closed loop systems? (Oct2000) The closed loop system compares the actual output measured by the sensor with the desired output and produces the error signal or actuating signal. The actuating signal is applied to the process so as to influence the output in a manner, which tends to reduce the error. 10. What are the disadvantages of block diagram representation? (Nov 2004) 1. Reduction of block diagram is becoming tedious for complex systems. 2. It is time consuming. 3. Not suitable for MIMO system 4. Not suitable for nonlinear system
3 UNIT II TIME RESPONSE ANALYSIS PART  A 1. What are the standard test signals employed for time domain studies?(or) List the standard test signals used in analysis of control systems?(april 2011) Step input, ramp input, parabolic input and impulse input signals. 2. What is steady state error?(april 2011) The steady state error is the value of error signal e(t) when t tends to infinity. It is a measure of system accuracy. 3. State the effect of PI and PD controller on system performance. (May 2013) Effect of PI controller: 1. Improves steady state response of the system 2. Increases rise time 3. Reduces peak overshoot Effect of PI controller: 1. Improves transient response of the system 2. Reduces rise time. 3. Increases damping ratio as well as stability 4. Find The acceleration error coefficient for (May 2013) = + ( + ) ( + + ) Acceleration error constant (ka) = lim (1 + 2 ) 2( ) = Determine the type and order of the following system (Nov 2012) G(s) = K / (S+1) (S+2) Type 0.Order 2 6. What is meant by time constant of the system? (Nov 2012) The time in which a physical system's response to a stepwise change in an external variable reaches approximately 63% of its final (asymptotic) value. 7. What ate the types of controllers that are used in a closed loop system? (A98) 1. Proportional 2. Integral 3. Proportional + Integral 4. Proportional +derivative 5. Proportional + Integral + Derivative
4 8. What is the difference between type and order of a system? (O97) Type: Number of poles of open loop transfer function located at the origin. Order: Highest power of s of the denominator of closed loop transfer function. i.e. the highest power of s of the characteristic equation. 9. Define settling time. (O96) It is the time required for the step response curve of under damped second order system to reach and stay within a specified tolerance band. It is usually expressed as % of final value. The usual tolerable error is 2 % or 5 % of the final value. 10. What is meant by reset time? (A97) In the integral mode of controller, the time during which the error signal is integrated is called the integral or reset time (Ti). In other words in PI control, the time taken by the controller to 'reset' the set point to bring the output to the desired value. U(s) = Kc (1+ (1/TiS)) E(s), where Ti is the integral (or) reset time. UNIT IIIFREQUENCY RESPONSE PART A 1. List any two advantages of frequency response analysis. (April )(April 2011) (a)the absolute and relative stability of the closed loop system can be estimated from the knowledge of the open loop frequency response.(b)the practical testing of system can be easily carried with available sinusoidal signal generators and precise measurement equipments.(c )The transfer function of the complicated functions can be determined experimentally by frequency response tests.(d)the design and parameter adjustments can be carried more easily.(e)the corrective measure for noise disturbance and parameter variation can be easily carried.(f)it can be extended to certain non  linear systems 2. Define gain margin of a closed loop system. (April ) The gain margin is the factor by which the system gain can be increased to drive it to the verge of instability. It may be defined as the reciprocal of the gain at the phase cross over frequency ( Gain margin GM = 1 / G (jω) H (j ω) at ω = ωpc. 3. How will you determine the closedloop stability from the openloop system? (Nov 2012) Through Nyquist stability criterion, we can determine the closedloop stability from the openloop system. 4. What are the frequency domain specifications? Explain. (Nov 2003) The frequency domain specifications indicate the performance of the system in frequency domain, they are Resonant peak, Resonant frequency, Band width, Phase margin,gain margin
5 5. Define phase margin and gain margin. (May 2013) The phase margin is defined as the amount of additional phase lag at the gain crossover frequency (φgc) required to bring the system to the verge of instability. Phase margin γ = φgc Mention the use of Nichol s chart. (April 2004) (a)it is used to find the closed loop frequency response from the open loop frequency response.(b)it is used to determine the frequency domain specifications.(c )The gain of the system can be adjusted to satisfy the given specification. 7. Define Gain Crossover Frequency.(April 2011) The gain crossover frequency is the frequency at which the magnitude of open loop transfer function is unity. 8. Define phase cross over frequency. (O2000) The phase cross over frequency is the frequency at which the phase of open loop transfer function is Define resonant frequency. (Nov 2012) Resonant frequency is the frequency at which the resonance peak (Mr) occurs. This is related to the frequency of oscillation in the step response and thus is indicative of the speed of transient response. (Mr is the maximum value of the magnitude of the closed loop frequency response.) 10. What are constant M and N circles? (O96) (O2000) The magnitude M of closed loop transfer function with unity feed back will be in the form of circle in complex plane for each constant value of M. The family of these circles is called M circles.let N = tan α, Where α is the phase of closed loop transfer function with unity feed back. For each value of N, a circle can be drawn in the complex plane. The family of these circles is called N circles UNIT IV STABILITY OF CONTROL SYSTEM PART A 1. How is pole locations and stability related?(nov 2012) (i) Poles are in left half of the splane system is stable. (ii) Poles are on imaginary axis, system is marginally stable. (iii) Poles are in right half of splane, system is unstable.
6 2. State and explain Nyquist stability criterion. (Nov 2003)(April 2011)(May 2013) N =  P If G(s)H(s) contour in the G(s)H(s) plane corresponding to Nyquist contour in s plane encircles the pt 1+ j0 in the anticlockwise direction as many times as the number of right half s plane poles of G(s)H(s), then the closed loop system is stable. 3. What is dominant pole pair? What is its significance? (O98) (O2000) The dominant pole is a pair of complex conjugate pole, which decides transient response of the system. In higher order systems the dominant poles are very close to origin and all other poles of the system are widely separated and so they have less effect on transient response of the system. 4. What is meant by characteristic equation? What is its significance? (O98) The denominator polynomial of closed loop transfer function equated to zero is the characteristic equation. It tells about the stability of the system. 5. State the necessary condition for the Routh s criterion for stability. (A96)(May 2013) A necessary and sufficient condition for stability is that all of the elements in the first column of the Routh array be positive. If this condition is not met, the system is unstable and the number of sign changes in the elements of the first column of the Routh array corresponds to the number of roots of the characteristic equation in the right half of the s plane. 6. What are the applications of root locus method? (Nov 2003) Used to study the dynamic response of a system, Visualizes the effects of varying various system parameters on root locations, Provides a measure of sensitivity of roots to the variation in the parameter being considered, It is applicable for single as well as multiple loop systems, Directly we can find the of closed loop response from the given open loop transfer function,we can find the range of open loop gain in which the system is stable in closed loop. 7. Define asymptotic stability. (April 2004) In the absence of the input, the output tends towards zero (the equilibrium state of the system) irrespective of initial conditions. This stability concept is known as asymptotic stability. 8. What are the characteristics of an unstable system? (Nov 2004) The system will give unbounded output for a bounded input, the system has roots with positive real part, the system has repeated roots on jω axis. 9. State the rule for finding out the root loci on the real axis. (April ) A point on the real axis lies on the locus if the number of open loop poles plus zeros on the real axis to the right of this point is odd. 10. State the rule for finding the value of K at any point on the root locus diagram. (A97) K = product of phasor lengths from any point S0 to open loop poles /Product of phasor lengths from any point S0 to open loop zeros
7 UNIT V COMPENSATOR DESIGN PART  A 1.Discuss the effect of adding a zero to the open loop transfer function of the system?(april 2011) The addition of a zero to open loop transfer function of a system will improve the transient response, reduces the rise time. If the zero is introduced close to origin then the peak overshoot will be larger. If the zero is introduced far away then its effect is negligible. 2. Why is lag compensator not suitable for higher type systems? (Nov 2012) Stability condition cannot be attained for the higher type system using lag compensator. 3.Explain the basics of compensation with a lead network. (Nov 2003). A lead compensator is basically a high pass filter. It amplifies high frequency noise signals. If a zero in the system does not cancel the pole introduced by the compensator, then the lead compensation increases the order of the system by one. Lead compensation appreciably improves the transient response and there is a small change in steady state accuracy. It is employed to make an unstable system into a stable one. 4. Why compensation is necessary in feedback control systems?(april 2011) In feed back control systems compensation is required in the following situations. 1. When the system is absolutely unstable, then compensation is required to stabilize the system and also to meet the desired performance.2. When the system is stable, then compensation is required to meet the desired performance. 5. What is compensator? What are the different types of compensators?(may 2013) A device inserted into the control system for the purpose of satisfying the desired specifications is called compensator. Types: Lag, lead and lag lead compensators. 6. What is the need for lead and lag compensation? (Apr 2004) To improve the system performance lead and lag compensators are needed in control system. Lead compensators are used to improve transient performance. Lag compensators are used to improve the steady state performance. 7. Write the transfer function of a typical lag compensator.(may 2013) 8. Write the transfer function of a typical lead compensator and draw its polezero plot(april 2011)
8 9. Write the transfer function of a typical lag lead compensator. (April ) 10. Draw the Bode plot of typical lead compensator. (April )
Step input, ramp input, parabolic input and impulse input signals. 2. What is the initial slope of a step response of a first order system?
IC6501 CONTROL SYSTEM UNITII TIME RESPONSE PARTA 1. What are the standard test signals employed for time domain studies?(or) List the standard test signals used in analysis of control systems? (April
More informationEC CONTROL SYSTEM UNIT I CONTROL SYSTEM MODELING
EC 2255  CONTROL SYSTEM UNIT I CONTROL SYSTEM MODELING 1. What is meant by a system? It is an arrangement of physical components related in such a manner as to form an entire unit. 2. List the two types
More informationCO Statement. Book No [Page No] C C C C
IC6501 CONTROL SYSTEMS L T P C 3 1 0 4 OBJECTIVES: To understand the use of transfer function models for analysis physical systems and introduce the control system components. To provide adequate knowledge
More informationKINGS COLLEGE OF ENGINEERING DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING
KINGS COLLEGE OF ENGINEERING DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING QUESTION BANK SUB.NAME : CONTROL SYSTEMS BRANCH : ECE YEAR : II SEMESTER: IV 1. What is control system? 2. Define open
More informationFATIMA MICHAEL COLLEGE OF ENGINEERING & TECHNOLOGY
FATIMA MICHAEL COLLEGE OF ENGINEERING & TECHNOLOGY Senkottai Village, Madurai Sivagangai Main Road, Madurai  625 020. An ISO 9001:2008 Certified Institution DEPARTMENT OF ELECTRONICS AND COMMUNICATION
More informationVALLIAMMAI ENGINEERING COLLEGE SRM Nagar, Kattankulathur
VALLIAMMAI ENGINEERING COLLEGE SRM Nagar, Kattankulathur 603 203. DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGINEERING SUBJECT QUESTION BANK : EC6405 CONTROL SYSTEM ENGINEERING SEM / YEAR: IV / II year
More information(b) A unity feedback system is characterized by the transfer function. Design a suitable compensator to meet the following specifications:
1. (a) The open loop transfer function of a unity feedback control system is given by G(S) = K/S(1+0.1S)(1+S) (i) Determine the value of K so that the resonance peak M r of the system is equal to 1.4.
More informationTable of Laplacetransform
Appendix Table of Laplacetransform pairs 1(t) f(s) oct), unit impulse at t = 0 a, a constant or step of magnitude a at t = 0 a s t, a ramp function e at, an exponential function s + a sin wt, a sine fun
More informationEC6405  CONTROL SYSTEM ENGINEERING Questions and Answers Unit  I Control System Modeling Two marks 1. What is control system? A system consists of a number of components connected together to perform
More informationR a) Compare open loop and closed loop control systems. b) Clearly bring out, from basics, Forcecurrent and ForceVoltage analogies.
SET  1 II B. Tech II Semester Supplementary Examinations Dec 01 1. a) Compare open loop and closed loop control systems. b) Clearly bring out, from basics, Forcecurrent and ForceVoltage analogies..
More informationDr Ian R. Manchester Dr Ian R. Manchester AMME 3500 : Review
Week Date Content Notes 1 6 Mar Introduction 2 13 Mar Frequency Domain Modelling 3 20 Mar Transient Performance and the splane 4 27 Mar Block Diagrams Assign 1 Due 5 3 Apr Feedback System Characteristics
More informationVALLIAMMAI ENGINEERING COLLEGE
VALLIAMMAI ENGINEERING COLLEGE SRM Nagar, Kattankulathur 603 203 DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING QUESTION BANK V SEMESTER IC650 CONTROL SYSTEMS Regulation 203 Academic Year 207 8 Prepared
More informationROOT LOCUS. Consider the system. Root locus presents the poles of the closedloop system when the gain K changes from 0 to. H(s) H ( s) = ( s)
C1 ROOT LOCUS Consider the system R(s) E(s) C(s) + K G(s)  H(s) C(s) R(s) = K G(s) 1 + K G(s) H(s) Root locus presents the poles of the closedloop system when the gain K changes from 0 to 1+ K G ( s)
More informationINSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad
INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad  500 043 Electrical and Electronics Engineering TUTORIAL QUESTION BAN Course Name : CONTROL SYSTEMS Course Code : A502 Class : III
More informationCHAPTER 1 Basic Concepts of Control System. CHAPTER 6 Hydraulic Control System
CHAPTER 1 Basic Concepts of Control System 1. What is open loop control systems and closed loop control systems? Compare open loop control system with closed loop control system. Write down major advantages
More informationEC 8391CONTROL SYSTEMS ENGINEERING. Questions and Answers PARTA. Unit  I Systems Components And Their Representation
EC 8391CONTROL SYSTEMS ENGINEERING Questions and Answers PARTA Unit  I Systems Components And Their Representation 1. What is control system? A system consists of a number of components connected together
More informationFrequency Response Techniques
4th Edition T E N Frequency Response Techniques SOLUTION TO CASE STUDY CHALLENGE Antenna Control: Stability Design and Transient Performance First find the forward transfer function, G(s). Pot: K 1 = 10
More informationNADAR SARASWATHI COLLEGE OF ENGINEERING AND TECHNOLOGY Vadapudupatti, Theni
NADAR SARASWATHI COLLEGE OF ENGINEERING AND TECHNOLOGY Vadapudupatti, Theni625531 Question Bank for the Units I to V SE05 BR05 SU02 5 th Semester B.E. / B.Tech. Electrical & Electronics engineering IC6501
More informationECE 486 Control Systems
ECE 486 Control Systems Spring 208 Midterm #2 Information Issued: April 5, 208 Updated: April 8, 208 ˆ This document is an info sheet about the second exam of ECE 486, Spring 208. ˆ Please read the following
More informationMAS107 Control Theory Exam Solutions 2008
MAS07 CONTROL THEORY. HOVLAND: EXAM SOLUTION 2008 MAS07 Control Theory Exam Solutions 2008 Geir Hovland, Mechatronics Group, Grimstad, Norway June 30, 2008 C. Repeat question B, but plot the phase curve
More informationLecture 5 Classical Control Overview III. Dr. Radhakant Padhi Asst. Professor Dept. of Aerospace Engineering Indian Institute of Science  Bangalore
Lecture 5 Classical Control Overview III Dr. Radhakant Padhi Asst. Professor Dept. of Aerospace Engineering Indian Institute of Science  Bangalore A Fundamental Problem in Control Systems Poles of open
More informationControls Problems for Qualifying Exam  Spring 2014
Controls Problems for Qualifying Exam  Spring 2014 Problem 1 Consider the system block diagram given in Figure 1. Find the overall transfer function T(s) = C(s)/R(s). Note that this transfer function
More informationINSTITUTE OF AERONAUTICAL ENGINEERING Dundigal, Hyderabad ELECTRICAL AND ELECTRONICS ENGINEERING TUTORIAL QUESTION BANK
Course Name Course Code Class Branch INSTITUTE OF AERONAUTICAL ENGINEERING Dundigal, Hyderabad 500 043 ELECTRICAL AND ELECTRONICS ENGINEERING TUTORIAL QUESTION BAN : CONTROL SYSTEMS : A50 : III B. Tech
More informationPID controllers. Laith Batarseh. PID controllers
Next Previous 24Jan15 Chapter six Laith Batarseh Home End The controller choice is an important step in the control process because this element is responsible of reducing the error (e ss ), rise time
More informationControl Systems. EC / EE / IN. For
Control Systems For EC / EE / IN By www.thegateacademy.com Syllabus Syllabus for Control Systems Basic Control System Components; Block Diagrammatic Description, Reduction of Block Diagrams. Open Loop
More informationLABORATORY INSTRUCTION MANUAL CONTROL SYSTEM I LAB EE 593
LABORATORY INSTRUCTION MANUAL CONTROL SYSTEM I LAB EE 593 ELECTRICAL ENGINEERING DEPARTMENT JIS COLLEGE OF ENGINEERING (AN AUTONOMOUS INSTITUTE) KALYANI, NADIA CONTROL SYSTEM I LAB. MANUAL EE 593 EXPERIMENT
More informationFeedback Control of Linear SISO systems. Process Dynamics and Control
Feedback Control of Linear SISO systems Process Dynamics and Control 1 OpenLoop Process The study of dynamics was limited to openloop systems Observe process behavior as a result of specific input signals
More informationINTRODUCTION TO DIGITAL CONTROL
ECE4540/5540: Digital Control Systems INTRODUCTION TO DIGITAL CONTROL.: Introduction In ECE450/ECE550 Feedback Control Systems, welearnedhow to make an analog controller D(s) to control a lineartimeinvariant
More informationCYBER EXPLORATION LABORATORY EXPERIMENTS
CYBER EXPLORATION LABORATORY EXPERIMENTS 1 2 Cyber Exploration oratory Experiments Chapter 2 Experiment 1 Objectives To learn to use MATLAB to: (1) generate polynomial, (2) manipulate polynomials, (3)
More informationCHAPTER 7 STEADYSTATE RESPONSE ANALYSES
CHAPTER 7 STEADYSTATE RESPONSE ANALYSES 1. Introduction The steady state error is a measure of system accuracy. These errors arise from the nature of the inputs, system type and from nonlinearities of
More informationControl Systems. University Questions
University Questions UNIT1 1. Distinguish between open loop and closed loop control system. Describe two examples for each. (10 Marks), Jan 2009, June 12, Dec 11,July 08, July 2009, Dec 2010 2. Write
More informationDEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING
KINGS COLLEGE OF ENGINEERING DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING QUESTION BANK SUBJECT CODE & NAME: CONTROL SYSTEMS YEAR / SEM: II / IV UNIT I SYSTEMS AND THEIR REPRESENTATION PARTA [2
More informationControl of Manufacturing Processes
Control of Manufacturing Processes Subject 2.830 Spring 2004 Lecture #19 Position Control and Root Locus Analysis" April 22, 2004 The Position Servo Problem, reference position NC Control Robots Injection
More informationAlireza Mousavi Brunel University
Alireza Mousavi Brunel University 1 » Control Process» Control Systems Design & Analysis 2 OpenLoop Control: Is normally a simple switch on and switch off process, for example a light in a room is switched
More informationLaplace Transform Analysis of Signals and Systems
Laplace Transform Analysis of Signals and Systems Transfer Functions Transfer functions of CT systems can be found from analysis of Differential Equations Block Diagrams Circuit Diagrams 5/10/04 M. J.
More informationIndex. Index. More information. in this web service Cambridge University Press
Atype elements, 4 7, 18, 31, 168, 198, 202, 219, 220, 222, 225 Atype variables. See Across variable ac current, 172, 251 ac induction motor, 251 Acceleration rotational, 30 translational, 16 Accumulator,
More informationEE C128 / ME C134 Fall 2014 HW 6.2 Solutions. HW 6.2 Solutions
EE C28 / ME C34 Fall 24 HW 6.2 Solutions. PI Controller For the system G = K (s+)(s+3)(s+8) HW 6.2 Solutions in negative feedback operating at a damping ratio of., we are going to design a PI controller
More informationCHAPTER 7 : BODE PLOTS AND GAIN ADJUSTMENTS COMPENSATION
CHAPTER 7 : BODE PLOTS AND GAIN ADJUSTMENTS COMPENSATION Objectives Students should be able to: Draw the bode plots for first order and second order system. Determine the stability through the bode plots.
More information7.4 STEP BY STEP PROCEDURE TO DRAW THE ROOT LOCUS DIAGRAM
ROOT LOCUS TECHNIQUE. Values of on the root loci The value of at any point s on the root loci is determined from the following equation G( s) H( s) Product of lengths of vectors from poles of G( s)h( s)
More informationCompensation 8. f4 that separate these regions of stability and instability. The characteristic S 0 L U T I 0 N S
S 0 L U T I 0 N S Compensation 8 Note: All references to Figures and Equations whose numbers are not preceded by an "S"refer to the textbook. As suggested in Lecture 8, to perform a Nyquist analysis, we
More informationChapter 7 : Root Locus Technique
Chapter 7 : Root Locus Technique By Electrical Engineering Department College of Engineering King Saud University 1431143 7.1. Introduction 7.. Basics on the Root Loci 7.3. Characteristics of the Loci
More informationCONTROL SYSTEMS LECTURE NOTES B.TECH (II YEAR II SEM) ( ) Prepared by: Mrs.P.ANITHA, Associate Professor Mr.V.KIRAN KUMAR, Assistant Professor
LECTURE NOTES B.TECH (II YEAR II SEM) (201718) Prepared by: Mrs.P.ANITHA, Associate Professor Mr.V.KIRAN KUMAR, Assistant Professor Department of Electronics and Communication Engineering MALLA REDDY
More informationCh 14: Feedback Control systems
Ch 4: Feedback Control systems Part IV A is concerned with sinle loop control The followin topics are covered in chapter 4: The concept of feedback control Block diaram development Classical feedback controllers
More information10ES43 CONTROL SYSTEMS ( ECE A B&C Section) % of Portions covered Reference Cumulative Chapter. Topic to be covered. Part A
10ES43 CONTROL SYSTEMS ( ECE A B&C Section) Faculty : Shreyus G & Prashanth V Chapter Title/ Class # Reference Literature Topic to be covered Part A No of Hours:52 % of Portions covered Reference Cumulative
More informationOutline. Classical Control. Lecture 1
Outline Outline Outline 1 Introduction 2 Prerequisites Block diagram for system modeling Modeling Mechanical Electrical Outline Introduction Background Basic Systems Models/Transfers functions 1 Introduction
More informationProportional plus Integral (PI) Controller
Proportional plus Integral (PI) Controller 1. A pole is placed at the origin 2. This causes the system type to increase by 1 and as a result the error is reduced to zero. 3. Originally a point A is on
More informationSECTION 5: ROOT LOCUS ANALYSIS
SECTION 5: ROOT LOCUS ANALYSIS MAE 4421 Control of Aerospace & Mechanical Systems 2 Introduction Introduction 3 Consider a general feedback system: Closed loop transfer function is 1 is the forward path
More informationDESIGN USING TRANSFORMATION TECHNIQUE CLASSICAL METHOD
206 Spring Semester ELEC733 Digital Control System LECTURE 7: DESIGN USING TRANSFORMATION TECHNIQUE CLASSICAL METHOD For a unit ramp input Tz Ez ( ) 2 ( z ) D( z) G( z) Tz e( ) lim( z) z 2 ( z ) D( z)
More informationSTABILITY OF CLOSEDLOOP CONTOL SYSTEMS
CHBE320 LECTURE X STABILITY OF CLOSEDLOOP CONTOL SYSTEMS Professor Dae Ryook Yang Spring 2018 Dept. of Chemical and Biological Engineering 101 Road Map of the Lecture X Stability of closedloop control
More informationControl Systems I Lecture 10: System Specifications
Control Systems I Lecture 10: System Specifications Readings: Guzzella, Chapter 10 Emilio Frazzoli Institute for Dynamic Systems and Control DMAVT ETH Zürich November 24, 2017 E. Frazzoli (ETH) Lecture
More informationR10 JNTUWORLD B 1 M 1 K 2 M 2. f(t) Figure 1
Code No: R06 R0 SET  II B. Tech II Semester Regular Examinations April/May 03 CONTROL SYSTEMS (Com. to EEE, ECE, EIE, ECC, AE) Time: 3 hours Max. Marks: 75 Answer any FIVE Questions All Questions carry
More informationTransient response via gain adjustment. Consider a unity feedback system, where G(s) = 2. The closed loop transfer function is. s 2 + 2ζωs + ω 2 n
Design via frequency response Transient response via gain adjustment Consider a unity feedback system, where G(s) = ωn 2. The closed loop transfer function is s(s+2ζω n ) T(s) = ω 2 n s 2 + 2ζωs + ω 2
More informationELECTRONICS & COMMUNICATIONS DEP. 3rd YEAR, 2010/2011 CONTROL ENGINEERING SHEET 5 LeadLag Compensation Techniques
CAIRO UNIVERSITY FACULTY OF ENGINEERING ELECTRONICS & COMMUNICATIONS DEP. 3rd YEAR, 00/0 CONTROL ENGINEERING SHEET 5 LeadLag Compensation Techniques [] For the following system, Design a compensator such
More informationHomework 7  Solutions
Homework 7  Solutions Note: This homework is worth a total of 48 points. 1. Compensators (9 points) For a unity feedback system given below, with G(s) = K s(s + 5)(s + 11) do the following: (c) Find the
More informationCHAPTER # 9 ROOT LOCUS ANALYSES
F K א CHAPTER # 9 ROOT LOCUS ANALYSES 1. Introduction The basic characteristic of the transient response of a closedloop system is closely related to the location of the closedloop poles. If the system
More informationLecture 6 Classical Control Overview IV. Dr. Radhakant Padhi Asst. Professor Dept. of Aerospace Engineering Indian Institute of Science  Bangalore
Lecture 6 Classical Control Overview IV Dr. Radhakant Padhi Asst. Professor Dept. of Aerospace Engineering Indian Institute of Science  Bangalore Lead Lag Compensator Design Dr. Radhakant Padhi Asst.
More informationCompensator Design to Improve Transient Performance Using Root Locus
1 Compensator Design to Improve Transient Performance Using Root Locus Prof. Guy Beale Electrical and Computer Engineering Department George Mason University Fairfax, Virginia Correspondence concerning
More informationChapter 2. Classical Control System Design. Dutch Institute of Systems and Control
Chapter 2 Classical Control System Design Overview Ch. 2. 2. Classical control system design Introduction Introduction Steadystate Steadystate errors errors Type Type k k systems systems Integral Integral
More informationa. Closedloop system; b. equivalent transfer function Then the CLTF () T is s the poles of () T are s from a contribution of a
Root Locus Simple definition Locus of points on the s plane that represents the poles of a system as one or more parameter vary. RL and its relation to poles of a closed loop system RL and its relation
More informationIntroduction to Root Locus. What is root locus?
Introduction to Root Locus What is root locus? A graphical representation of the closed loop poles as a system parameter (Gain K) is varied Method of analysis and design for stability and transient response
More informationPerformance of Feedback Control Systems
Performance of Feedback Control Systems Design of a PID Controller Transient Response of a Closed Loop System Damping Coefficient, Natural frequency, Settling time and Steadystate Error and Type 0, Type
More informationAMME3500: System Dynamics & Control
Stefan B. Williams May, 211 AMME35: System Dynamics & Control Assignment 4 Note: This assignment contributes 15% towards your final mark. This assignment is due at 4pm on Monday, May 3 th during Week 13
More informationLecture 17 Date:
Lecture 17 Date: 27.10.2016 Feedback and Properties, Types of Feedback Amplifier Stability Gain and Phase Margin Modification Elements of Feedback System: (a) The feed forward amplifier [H(s)] ; (b) A
More informationSoftware Engineering 3DX3. Slides 8: Root Locus Techniques
Software Engineering 3DX3 Slides 8: Root Locus Techniques Dr. Ryan Leduc Department of Computing and Software McMaster University Material based on Control Systems Engineering by N. Nise. c 2006, 2007
More informationDepartment of Electronics and Instrumentation Engineering M. E CONTROL AND INSTRUMENTATION ENGINEERING CL7101 CONTROL SYSTEM DESIGN Unit I BASICS AND ROOTLOCUS DESIGN PARTA (2 marks) 1. What are the
More information1 An Overview and Brief History of Feedback Control 1. 2 Dynamic Models 23. Contents. Preface. xiii
Contents 1 An Overview and Brief History of Feedback Control 1 A Perspective on Feedback Control 1 Chapter Overview 2 1.1 A Simple Feedback System 3 1.2 A First Analysis of Feedback 6 1.3 Feedback System
More informationECE317 : Feedback and Control
ECE317 : Feedback and Control Lecture : Steadystate error Dr. Richard Tymerski Dept. of Electrical and Computer Engineering Portland State University 1 Course roadmap Modeling Analysis Design Laplace
More informationUnit 8: Part 2: PD, PID, and Feedback Compensation
Ideal Derivative Compensation (PD) Lead Compensation PID Controller Design Feedback Compensation Physical Realization of Compensation Unit 8: Part 2: PD, PID, and Feedback Compensation Engineering 5821:
More informationLecture 5: Frequency domain analysis: Nyquist, Bode Diagrams, second order systems, system types
Lecture 5: Frequency domain analysis: Nyquist, Bode Diagrams, second order systems, system types Venkata Sonti Department of Mechanical Engineering Indian Institute of Science Bangalore, India, 562 This
More informationCourse roadmap. Step response for 2ndorder system. Step response for 2ndorder system
ME45: Control Systems Lecture Time response of ndorder systems Prof. Clar Radcliffe and Prof. Jongeun Choi Department of Mechanical Engineering Michigan State University Modeling Laplace transform Transfer
More informationRoot Locus Methods. The root locus procedure
Root Locus Methods Design of a position control system using the root locus method Design of a phase lag compensator using the root locus method The root locus procedure To determine the value of the gain
More informationFREQUENCYRESPONSE DESIGN
ECE45/55: Feedback Control Systems. 9 FREQUENCYRESPONSE DESIGN 9.: PD and lead compensation networks The frequencyresponse methods we have seen so far largely tell us about stability and stability margins
More informationBangladesh University of Engineering and Technology. EEE 402: Control System I Laboratory
Bangladesh University of Engineering and Technology Electrical and Electronic Engineering Department EEE 402: Control System I Laboratory Experiment No. 4 a) Effect of input waveform, loop gain, and system
More informationStability of Feedback Control Systems: Absolute and Relative
Stability of Feedback Control Systems: Absolute and Relative Dr. Kevin Craig Greenheck Chair in Engineering Design & Professor of Mechanical Engineering Marquette University Stability: Absolute and Relative
More informationMAE143a: Signals & Systems (& Control) Final Exam (2011) solutions
MAE143a: Signals & Systems (& Control) Final Exam (2011) solutions Question 1. SIGNALS: Design of a noisecancelling headphone system. 1a. Based on the lowpass filter given, design a highpass filter,
More informationContents. PART I METHODS AND CONCEPTS 2. Transfer Function Approach Frequency Domain Representations... 42
Contents Preface.............................................. xiii 1. Introduction......................................... 1 1.1 Continuous and Discrete Control Systems................. 4 1.2 OpenLoop
More information1 (20 pts) Nyquist Exercise
EE C128 / ME134 Problem Set 6 Solution Fall 2011 1 (20 pts) Nyquist Exercise Consider a close loop system with unity feedback. For each G(s), hand sketch the Nyquist diagram, determine Z = P N, algebraically
More informationLecture 4 Classical Control Overview II. Dr. Radhakant Padhi Asst. Professor Dept. of Aerospace Engineering Indian Institute of Science  Bangalore
Lecture 4 Classical Control Overview II Dr. Radhakant Padhi Asst. Professor Dept. of Aerospace Engineering Indian Institute of Science  Bangalore Stability Analysis through Transfer Function Dr. Radhakant
More informationSystems Analysis and Control
Systems Analysis and Control Matthew M. Peet Arizona State University Lecture 23: Drawing The Nyquist Plot Overview In this Lecture, you will learn: Review of Nyquist Drawing the Nyquist Plot Using the
More informationDigital Control Systems
Digital Control Systems Lecture Summary #4 This summary discussed some graphical methods their use to determine the stability the stability margins of closed loop systems. A. Nyquist criterion Nyquist
More information(Refer Slide Time: 2:11)
Control Engineering Prof. Madan Gopal Department of Electrical Engineering Indian institute of Technology, Delhi Lecture  40 Feedback System Performance based on the Frequency Response (Contd.) The summary
More informationSTABILITY ANALYSIS. Asystemmaybe stable, neutrallyormarginallystable, or unstable. This can be illustrated using cones: Stable Neutral Unstable
ECE4510/5510: Feedback Control Systems. 5 1 STABILITY ANALYSIS 5.1: Boundedinput boundedoutput (BIBO) stability Asystemmaybe stable, neutrallyormarginallystable, or unstable. This can be illustrated
More informationControl Systems Engineering ( Chapter 8. Root Locus Techniques ) Prof. KwangChun Ho Tel: Fax:
Control Systems Engineering ( Chapter 8. Root Locus Techniques ) Prof. KwangChun Ho kwangho@hansung.ac.kr Tel: 027604253 Fax:027604435 Introduction In this lesson, you will learn the following : The
More informationRadar Dish. Armature controlled dc motor. Inside. θ r input. Outside. θ D output. θ m. Gearbox. Control Transmitter. Control. θ D.
Radar Dish ME 304 CONTROL SYSTEMS Mechanical Engineering Department, Middle East Technical University Armature controlled dc motor Outside θ D output Inside θ r input r θ m Gearbox Control Transmitter
More informationIntroduction to Process Control
Introduction to Process Control For more visit : www.mpgirnari.in By: M. P. Girnari (SSEC, Bhavnagar) For more visit: www.mpgirnari.in 1 Contents: Introduction Process control Dynamics Stability The
More informationCourse Summary. The course cannot be summarized in one lecture.
Course Summary Unit 1: Introduction Unit 2: Modeling in the Frequency Domain Unit 3: Time Response Unit 4: Block Diagram Reduction Unit 5: Stability Unit 6: SteadyState Error Unit 7: Root Locus Techniques
More informationAN INTRODUCTION TO THE CONTROL THEORY
OpenLoop controller An OpenLoop (OL) controller is characterized by no direct connection between the output of the system and its input; therefore external disturbance, nonlinear dynamics and parameter
More informationSystems Analysis and Control
Systems Analysis and Control Matthew M. Peet Illinois Institute of Technology Lecture 23: Drawing The Nyquist Plot Overview In this Lecture, you will learn: Review of Nyquist Drawing the Nyquist Plot Using
More informationECE317 : Feedback and Control
ECE317 : Feedback and Control Lecture : RouthHurwitz stability criterion Examples Dr. Richard Tymerski Dept. of Electrical and Computer Engineering Portland State University 1 Course roadmap Modeling
More informationSRM UNIVERSITY DEPARTMENT OF BIOMEDICAL ENGINEERING ODD Semester DAY floor
SRM UNIVERSITY DEPARTMENT OF BIOMEDICAL ENGINEERING ODD Semester20142015 CONTROL SYSTEMS Course Code: Course Title: Control Systems Semester: V SEM B. Tech Third Year Course Timings: STAFF NAME: Anitha.G
More informationDr Ian R. Manchester
Week Content Notes 1 Introduction 2 Frequency Domain Modelling 3 Transient Performance and the splane 4 Block Diagrams 5 Feedback System Characteristics Assign 1 Due 6 Root Locus 7 Root Locus 2 Assign
More informationSoftware Engineering/Mechatronics 3DX4. Slides 6: Stability
Software Engineering/Mechatronics 3DX4 Slides 6: Stability Dr. Ryan Leduc Department of Computing and Software McMaster University Material based on lecture notes by P. Taylor and M. Lawford, and Control
More informationControl System. Contents
Contents Chapter Topic Page Chapter Chapter Chapter3 Chapter4 Introduction Transfer Function, Block Diagrams and Signal Flow Graphs Mathematical Modeling Control System 35 Time Response Analysis of
More informationFEEDBACK and CONTROL SYSTEMS
SCHA UM'S OUTLINE OF THEORY AND PROBLEMS OF FEEDBACK and CONTROL SYSTEMS Second Edition CONTINUOUS (ANALOG) AND DISCRETE (DIGITAL) JOSEPH J. DiSTEFANO, III, PhD. Departments of Computer Science and Mediane
More informationCONTROL * ~ SYSTEMS ENGINEERING
CONTROL * ~ SYSTEMS ENGINEERING H Fourth Edition NormanS. Nise California State Polytechnic University, Pomona JOHN WILEY& SONS, INC. Contents 1. Introduction 1 1.1 Introduction, 2 1.2 A History of Control
More informationController Design using Root Locus
Chapter 4 Controller Design using Root Locus 4. PD Control Root locus is a useful tool to design different types of controllers. Below, we will illustrate the design of proportional derivative controllers
More informationTest 2 SOLUTIONS. ENGI 5821: Control Systems I. March 15, 2010
Test 2 SOLUTIONS ENGI 5821: Control Systems I March 15, 2010 Total marks: 20 Name: Student #: Answer each question in the space provided or on the back of a page with an indication of where to find the
More informationCONTROL SYSTEMS ENGINEERING Sixth Edition International Student Version
CONTROL SYSTEMS ENGINEERING Sixth Edition International Student Version Norman S. Nise California State Polytechnic University, Pomona John Wiley fir Sons, Inc. Contents PREFACE, vii 1. INTRODUCTION, 1
More information6.1 Sketch the zdomain root locus and find the critical gain for the following systems K., the closedloop characteristic equation is K + z 0.
6. Sketch the zdomain root locus and find the critical gain for the following systems K (i) Gz () z 4. (ii) Gz K () ( z+ 9. )( z 9. ) (iii) Gz () Kz ( z. )( z ) (iv) Gz () Kz ( + 9. ) ( z. )( z 8. ) (i)
More informationCourse Outline. Closed Loop Stability. Stability. Amme 3500 : System Dynamics & Control. Nyquist Stability. Dr. Dunant Halim
Amme 3 : System Dynamics & Control Nyquist Stability Dr. Dunant Halim Course Outline Week Date Content Assignment Notes 1 5 Mar Introduction 2 12 Mar Frequency Domain Modelling 3 19 Mar System Response
More information