MODULE I Topic Question mark Automatic control & modeling, Transfer function Write the merits and demerits of open loop and closed loop Month &Year May 12 Regula tion Compare open loop system with closed loop system 2 May 13 Difference between open loop system from closed loop system Draw the general schematic diagram of a control system and explain in detail 8 8 7 Explain the concept of open loop control system Jun 08 Write a note on computers in Automatic control Draw the block diagram of feedback control system and explain its concept 4 6 7 May 12 Dec 08 Explain the performance of feedback control system Jun 11 Explain what is meant by closed loop control system with block diagram Give a practical example to Open Loop control system. How it can make in to a closed loop system? Explain in brief. Define the term control system. Define linear system and linear time invariant system Define Transfer Function Jun 07 Determine the Laplace transform of 6 May 12 State and explain any two properties of Laplace transform 4 May 12 Laplace Transform Complex variables, Poles, zeros, order, types, Characteristic equation Signal flow graph & Mason s gain formula Obtain the expression for y(t) which is satisfying the differential equation y +y +8y=16e -t.neglect initial conditions May 13 State and explain the properties of Laplace transform Jun 11 State and prove initial and final value theorems of Laplace transform 8 Jun 08 Define the following terms i) Poles ii) Zeros iii) Analytic functions Dec 08 Explain the basic ideas of functions of complex variables Explain what is meant by poles and zeros of a transfer function 6 Jun 07 State Mason s gain formula 2 May 12 Derive mason s gain formula, explain the steps 7 1 Jun 11 Prepared by Susan Varghese Page 1
Explain the advantages and applications of signal flow graphs What is signal flow graph and explain various terms associated with signal flow graph Construct the signal flow graph for the following set of system equations Y 2 =G 1 Y 1 +G 3 Y 3 Y 3 =G 4 Y 1 +G 2 Y 2 +G Y 3 Y 4 =G 6 Y 2 +G 7 Y 3 For the signal flow graph shown in figure, find the loop gain A=x 3 /x 1 Jun 11 Jun 08 10 May 13 1 Signal flow graph & Mason s gain formula Draw the signal flow graph of the given system block diagram 2 May 12 Draw the signal flow graph and determine C/R for the block diagram given below 1 Jun 08 Draw the signal flow graph for the network shown below and hence find V 3 /V 1 1 Draw the signal flow graph for the circuit shown below and hence derive the transfer function of the system using Mason s gain formula 1 Dec 08 Derive the transfer function of the network given below using signal flow graph technique 6 May 12 Prepared by Susan Varghese Page 2
Explain the rules for block diagram rules 10 May 12 May 13 Give the procedure to solve block diagram reduction problems May 13 Explain the application of block diagram reduction techniques 8 Find C(s)/R(s) for the system shown in figure 1 Jun 11 Using block diagram reduction rule determine the transfer function of the following system Block diagram reduction 1 Jun 07 State any 3 block reduction rules Dec 08 Find the Transfer function of the given system using block diagram reduction technique. Draw the signal flow graph of the same system and verify the result using Mason s gain formula Derive the transfer function of a first order low pass RC circuit Jun 07 electrical In an RC circuit the values of R and C are 1 MΩ and 1µF respectively. Obtain the expression for the current flowing in the circuit if it is supplied with an input of step voltage of 1 V at t=0 May 13 Prepared by Susan Varghese Page 3
electrical system and find the transfer function E o (s)/e i (s). Prepared by Susan Varghese Page 4
Write the differential equation of the system shown below 9 Dec 08 Derive the transfer function of the system shown below 7 Jun 08 mechanical Write the differential equations describing the following 9 Jun 07 system and find the transfer function X1(s)/F(s). system and find the transfer function X2(s)/F(s). Prepared by Susan Varghese Page
system and find the transfer function X1(s)/F(s). f(t) M1=0 x1(t) K B M2=0 X2(t) mechanical system and find the transfer function X(s)/F(s). K1 M1 x1(t) K B M2 x(t) f(t) B1 B2 Name three type of forces resists the translational motion. ( electromecha nical system) Position and speed control of DC motor Derive the transfer function of DC servo motor for position control and draw the block diagram representation Derive the transfer function of DC servo motor for speed control and draw the block diagram representation Prepared by Susan Varghese Page 6