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1 SRM UNIVERSITY DEPARTMENT OF BIOMEDICAL ENGINEERING ODD Semester CONTROL SYSTEMS Course Code: Course Title: Control Systems Semester: V SEM B. Tech Third Year Course Timings: STAFF NAME: Anitha.G DAY DAY 1 DAY 2 DAY 3 Location: Class Room: B602, School of Bio engineering,5 th floor Staff Room: MA401, Architecture Annexure block 4 th Floor Faculty Name: Ms.G.Anitha Faculty ID: L T P C Control systems Prerequisite Nil PURPOSE To provide an introduction to the analysis of linear control systems. This will permit an engineer to exploit time domain and frequency domain tools to design and study linear control systems. INSTRUCTIONAL OBJECTIVES The students will be able to Interpret technical aspects of control systems Understand the concepts of controllers Apply various stability techniques Course outcome Program outcome 1. To familiarize students with various modeling 1. Ability to understand modeling concepts techniques 2. To introduce students to apply various 2. Understanding the problem and ability to Stability analysis. identify the system stability

2 TRANSFER FUNCTIONS Introduction and classification of control systems-linear, nonlinear, time varying, time in-variant, continuous, discrete, SISO and MIMO systems - definitions. Mathematical modeling of mechanical (translation and rotational) and electrical systems- mechanical-electrical analogies- Block Diagram reduction technique and Signal flow graphs. CONTROL SYSTEM COMPONENTS Transfer function of potentiometers, armature controlled and field controlled dc motor. - tachogenerators- gear trains-controllers-on-off, P, PI, PD and PID. TRANSIENT AND STEADY STATE ANALYSIS Transient and steady state response-definitions-mathematical expression for standard test signalstype and order of systems-step, ramp and impulse response of first order and second order under damped systems. - systems - Step response of second order critically damped and over damped systems. - Time domain specifications of second order under damped systems -Steady state error analysis. STABILITY ANALYSIS Stability analysis - characteristic equation - location of roots in S-plane for stability -Routh's stability criterion relative stability analysis-root locus technique-construction of root loci for negative feed back systems. FREQUENCY DOMAIN ANALYSIS Frequency response analysis-frequency domain specifications of second order systems-bode plots and stability (gain and phase) margins- Need for compensation -Introduction to lead, lag, lead-lag compensating networks, minimum phase, non-minimum phase -polar plots-nyquist stability criterion-constant M and N circles-nichols chart. TEXT BOOKS Katsuhiko Ogata, Modern Control Engineering, second edition, Prentice Hall of India Private Ltd, New Delhi, 1995 Nagrath I J and Gopal.M., Control Systems Engineering, I edition,wiley and sons, 1985 REFERENCE BOOKS Benjamin C Kuo, Automatic Control System, 7th edition, Prentice Hall of India Private Ltd, New Delhi, 1993 Gajic Z., Lelic M., Modern Control System Engineering, Prentice Hall of India Private Ltd, New Delhi, 1996 Richard.C. Dorf and Robert.H.Bishop, Modern Control System Engineering, Addison Wesley, 1999

3 S.NO Day Order Hours Topics to be covered Referenc e books Teachin g method UNIT-I Introduction and classification of control systems- T1 BB linear, nonlinear, time varying, time in-variant, continuous, T1 BB discrete, SISO and MIMO systems T1 BB definitions. Mathematical modeling of mechanical (translation and rotational) and electrical systems R1 BB Mathematical modeling of mechanical (translation and rotational) and electrical systems R1 BB mechanical-electrical analogies R1 BB Block Diagram reduction technique R2 BB Signal flow graph R2 BB Activities and Revision UNIT-II Transfer function of potentiometers T1 BB Armature controlled and field controlled dc motor. - T1 BB Tachogenerators T1 PPT Gear trains T1 PPT Controllers-on-off T1 BB P, PI controllers T1 BB PD controllers T1 BB PID controllers T1 BB PID controllers T1 BB Activities and Revision UNIT-III

4 Transient and steady state response-definitionsmathematical expression for standard test signals T1 BB Type and order of systems. step, ramp and impulse response of first order systems R2 BB Step, ramp and impulse response of second order under damped systems. R2 BB Step response of second order critically damped and over damped systems R2 BB Step response of second order critically damped and over damped systems R4 BB Time domain specifications of second order under damped systems R4 BB Steady state error analysis R4 BB Steady state error analysis R4 BB Activities and Revision UNIT-IV Introduction to Stability analysis R3 PPT characteristic equation - location of roots in S- plane for stability R3 PPT characteristic equation - location of roots in S- plane for stability R3 PPT Routh's stability criterion. R3 PPT relative stability analysis-root locus technique- R3 PPT relative stability analysis-root locus technique- R3 BB construction of root loci for negative feed back systems R3 BB construction of root loci for negative feed back systems R3 BB Activities and Revision UNIT-V Frequency response analysis-frequency domain specifications of second order systems- R5 BB Bode plots and stability (gain and phase) margins R5 BB

5 Need for compensation -Introduction to lead, lag, R5 BB lead-lag compensating networks, R5 BB minimum phase, non-minimum phase - CM BB polar plots- T1 BB Nyquist stability criterion- T1 BB constant M and N circles- T1 BB Nichols chart T1 BB Activities and Revision Total hours: 47 Test Portions: Cycle test I: Unit 1 & Unit 2 Cycle test II: Unit 3 & Unit 4 Model Exam: All 5 units Assessment details: Cycle Test 1 10 marks Surprise Test 1-5 marks Cycle Test 2 10 marks Attendance- 5 marks Model Exam -20marks Staff s Signature HOD/BME

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