0 1 Determine state transition matrix of the system matrix A = [ ] −2 0
[3 marks]Explain system sensitivities to parameter perturbations.
[4 marks]What are the effects of lag compensation? Give the steps of lag compensation design for time response compensation.
[7 marks]List out procedure to design robust PID controlled systems.
[7 marks]For Type-2 system given in differential form as y + 5y +3y +2y = u. Find two state space models.
[7 marks]For the given transfer function. Obtain two state space models. Y(s) s3 +8s2 +17s+8 = U(s) s3 +6s2 +11s+6
[7 marks]Explain the optimal solution using Riccatti equation.
[4 marks]For an open loop transfer function G(s)=K/s2(s+2) design compensator such that damping ratio 0.7, settling time 1.4 sec and Ka=5 sec^-2.
[10 marks]Describe the full state feedback control system scheme with observer design.
[4 marks]An open loop transfer function G(s)= 4/s(s+2). Design suitable compensating network to achieve damping ratio =0.5 and ts= 2 sec.
[10 marks]Design lag compensator for the transfer function G(s) = 40 s(s+2) Such that PM>=45. Draw the lead network.
[14 marks]Design lead compensator for the transfer function G(s) = 1 s2 Such that PM>=45. Draw the lead network.
[14 marks]Explain RLC series circuit state space model.
[3 marks]Explain the Linear Quadratic Regulator based optimal design.
[4 marks]Check the controllability and observability of following system x 0 1 0 01 [x ] = [ 0 0 1 ]x(t)+[1]u(t)2 x −9 −4 −5 13 y = [1 1 3]x(t)
[7 marks]Define Controllability and Observability with equations to find it.
[3 marks]Explain need of compensation and types of compensation.
[4 marks]x 1 1 1 Consider the system with [ 1] = [ ]x(t)+[ ]u(t) x 1 2 01 Determine the state feedback gain matrix for placing poles on -5 and -6.
[7 marks]