Explain the procedure to determine the location of closed loop dominant poles from the given values of peak overshoot and settling time.
[3 marks]Define state transition matrix and explain how it can be determined using Laplace transform method.
[4 marks]Explain the procedural steps for designing a phase lag compensator in time domain.
[7 marks]Draw the pole- zero diagram of lead compensator and lag compensator on s-plane.
[3 marks]Draw an electrical network of lag compensator and also derive its transfer function.
[4 marks]With the help of illustrative bode diagram, discuss the basic characteristics of lead compensator.
[7 marks]The open loop transfer function of a system is given by1 G(s) = s(s+1)(0.5s+1) Design a suitable compensator using frequency domain technique so that (1) k >= 5sec-1 (2) PM >= 40˚ and v (3) GM>=10 dB
[7 marks]Define linear dependence and independence of vectors.
[3 marks]Define controllability and observability with suitable example.
[4 marks]State Caley-Hamilton theorem and explain how it can be used to determine the state transition matrix.
[7 marks]Derive the equation for obtaining transfer function from a given state model.
[3 marks]Determine the controllability of a state space model given by [ x 1 ]=[ −3 1 ][ x 1 ]+[ 1 ]u(t) x 2 −4 0 x 2 0
[4 marks]Explain diagonalization method for determining state transition matrix.
[7 marks]Briefly explain observable canonical form.
[3 marks]Explain the concept of lag compensator using root locus technique.
[4 marks]Asystem is represented by the equations given below: Page 1 of [ x 1 ]=[ 0 1 ][ x 1 ]+[ 0 ]u(t) x 2 −4 −5 x 2 1 Given that x(0) = [1 1]T Determine (A) zero input response (B) zero state response for unit step input and (C) total response
[2 marks]Briefly explain controllable canonical form in state space.
[3 marks]Briefly explain the steps for designing phase lead compensator in frequency domain.
[4 marks]Apply parallel decomposition method and determine corresponding state model for the transfer function given below: s+7 G(s) = s3 +9s2 +26s+24
[7 marks]Briefly explain the concept of optimal control system.
[3 marks]Briefly explain the concept of robust control system.
[4 marks]State and derive Ackerman’s formula for determining state feedback gain matrix K.
[7 marks]Explain the use of observer in state feedback control system.
[3 marks]Briefly describe the parameters used to analyse robustness of control system.
[4 marks]Explain the design of Linear Quadratic Regulator Page 2 of
[2 marks]