Write the steps to design lag compensator in frequency domain.
[7 marks]Give the comparision of lead compensation and lag compensation.
[3 marks]Realize the lead-lag compensation with RC network and also derive its transfer function.
[4 marks]With suitable example, discuss about the robust PID controller
[7 marks]Compare state space method and conventional method.
[3 marks]Explain Ricatti equation
[4 marks]Obtain the time response of the following system [ x 1 ] = [ 1 0 ][ x 1 ]+ [ 1 ]u x 2 1 1 x 2 1 where u(t) is a unit step occurring at t = 0 and xT(0) = [1 0].
[7 marks]Consider the system Y(s) s+3 = U(s) s2 +3s+2 Obtain controllable canonical form, observable canonical form and diagonal canonical form.
[4 marks]Check the observability of the given system using Kalman’s test. x 1 0 1 0 x 1 0 [x 2 ] = [0 0 1 ][x 2 ]+ [0]u x 3 0 −2 −3 x 3 1 x1 y = [3 4 1][x 2 ] x3
[3 marks]Obtain state model of field controlled DC servomotor. Choose θ, 𝜃 and i as state variables. f
[4 marks]Design a phase lead compensation network in frequency domain for a system having open-loop transfer function K G(s)H(s) = s2( 1+0.05s) The system have acceleration error co-efficient=100 sec-2 for the phase margin of 20o
[7 marks]List the properties of state transition matrix.
[3 marks]For a certain system1 0.025 G(s) = s ( 1+0.5s)(1+0.05s) design a suitable lag compensator to give velocity error constant = sec-1 , phase margin = 40o
[20 marks]Design a lag compensator using root locus for a system with open loop transfer function k G(s) = s(s+2)(s+8) to meet the following specifications
[7 marks]What is the goal of robust system design? When any control system is said to be a robust system?
[3 marks]What are the parameters that are used to analyze the robustness of control systems? Describe in brief.
[4 marks]Design a suitable lead compensator for a system with unity feedback and having a open loop transfer function K G(s) = s (s+2) to meet the specification: Damping ratio ζ = 0.5, undamped natural frequency ω = 4 rad/sec. n
[7 marks]Find f(A) = A10 using Cayley Hamiltom technique for A = [ ] −2 −3
[3 marks]Write a short note on full state observer design.
[4 marks]Damping ratio = 0.5 (ii) = Settling time = 5 (iii) velocity error >
[5 marks]Write a short note on optimal control.
[7 marks]Explain in brief Linear Quadratic Regulator.
[3 marks]Discuss about the various uncertainties in parameter variation and method to evaluate it with example for robust control system design.
[7 marks]Obtain the state space model of series RLC circuit.
[3 marks]Determine the transfer function for the system whose state model is given by [ x 1 ] = [ 0 1 ][ x 1 ]+ [ 0 ]u x 2 −6 −5 x 2 1 and x1 y = [1 1][ ] x2
[4 marks]What are the considerations that are to be kept in mind while designing the robust control system?
[4 marks]