GTU BE 2020 Summer Question Papers || Gujarat Technological University
Subject Code: 2161707 Date:27/10/2020
Subject Name: Control System Design
Time: 10:30 AM TO 01:00 PM Total Marks: 70
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
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BE - SEMESTER- VI EXAMINATION — SUMMER 2020Subject Code: 2161707 Date:27/10/2020
Subject Name: Control System Design
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
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1. Attempt all questions.2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
| MARKS | |
|---|---|
| Q.1 (a) Explain state, state variable and state vector with reference to state space. | 03 |
| (b) Compare lead and lag compensation techniques in frequency domain. | 04 |
| (c) Find state space model for RLC series circuit. Consider voltage across capacitor as an output with R = 1K, C=5F and L=2H. | 07 |
| Q.2 (a) Explain diagonal canonical form in state space. | 03 |
| (b) Find controllable and observable canonical form for the system with transfer function . s(s+1) | 04 |
| (c) Derive condition for complete state controllability of the system. Also find controllability for the system X = Ax + Bu and y = cx with A:[_Ol _12], B:[g] and C=[0 1]. | 07 |
| OR | |
| (c) Derive condition for complete state observability of the system. Also find observability for the system x = Ax + Bu and y = Cx with A:[_OZ _13] , B:[é] and C=[0 1]. | 07 |
| Q.3 (a) Find Eigen value for the system X = Ax + Bu and y = cx with A9 1. 2 4 | 03 |
| (b) Compare conventional and modern control theory. | 04 |
| (c) Explain dead beat response with suitable example. | 07 |
| OR | |
| Q.3 (a) Explain linear dependence and independence of vectors. | 03 |
| (b) Explain lag compensation using root locus technique. | 04 |
| (c) Design a suitable compensator for the unity feedback system with open loop transfer function G(s) = S(S+)(S+3) , to meet the following specifications: a. Phase margin at least 52 degree b. Gain margin at least 8 db c. Velocity error constant at least 6 sec’! | 07 |
| Q.4 (a) Explain need of linear quadratic regulator. | 03 |
| (b) Explain lead compensation using root locus technique. | 04 |
| (c) Find transfer function of system with following state space representation. Also comment on stability of the system. A:{O : } Bzm c=[ 1]p=0 -1 -2 | 07 |
| OR | |
| Q.4 (a) Explain optimal control. | 03 |
| (b) Explain Lyapunov stability criteria. | 04 |
| (c) Discuss about the design of state observer with diagram and equations. | 07 |
| Q.5 (a) Explain the need of robust PID controller. | 03 |
| (b) Discuss factors to be considered while designing robust control system. | 04 |
| (c) Find state transition matrix of system with following state space representation. Also state property of state transition matrix. A:[ 0 1 } B:N c=[0 1]Dp=0 -4 -6 1 | 07 |
| OR | |
| Q.5 (a) Explain Riccatti Equation. | 03 |
| (b) Discuss Lag-Lead Compensator design in frequency domain. | 04 |
| (c) Discuss design steps for pole placement using Ackerman’s formula. | 07 |
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