Give the comparison of lead compensation and lag compensation.
[3 marks]What is state observer?
[4 marks]Explain Robust PID controller design in detail.
[7 marks]Derive the transfer function of series RLC circuit excited with DC source. Consider capacitor voltage as output
[3 marks]Derive the state space model of series RLC circuit excited with DC source. Consider capacitor voltage as output
[4 marks]Write the steps to design lag compensator in frequency domain.
[7 marks]Explain phase lead compensator design in detail for time domain.
[7 marks]State the procedure to check controllability of a system in state space.
[3 marks]State the procedure to check observability of a system in state space.
[4 marks]Explain the design of state observer in detail.
[7 marks]Prove that the eigen values are the roots of the characteristic equation.
[3 marks]How can we convert state space model in transfer function?
[4 marks]Solve the state space equation x = Ax +Bu for x.
[7 marks]What is state transition matrix?
[3 marks]What are the parameters that are used to analyze the robustness of control systems? Describe in brief.
[4 marks]Discuss design steps for pole placement using Ackerman’s formula.
[7 marks]What is gain margin and phase margin?
[3 marks]Explain need of linear quadratic regulator and state Riccatti equation.
[4 marks]y(s) K Consider the system, = . u(s) s2 Design cascade lead compensator with root locus technique to meet the following requirements: i. Settling time <= 4 sec ii. Peak overshoot < = 20%
[7 marks]Find controllable and observable canonical form for the system y(s) with transfer function = . u(s) s(s+2)
[10 marks]Find Eigen value for the state space system x = Ax+Bu with matrix01 A = ( )24
[4 marks]Consider the system G(s) = K . s(s+2) Design cascade lag compensator so that the closed loop system has1 i. Phase margin >=60 ii. Velocity constant k >=10. v
[7 marks]Discuss how the desired closed loop poles can be found from the given specifications in time domain i.e. from given peak overshoot and settling time.
[3 marks]Find the state feedback controller gain Kfor the state space system, x = Ax +Bu, where A = ( 0 0 1 ), B = (0) and the desired closed loop poles −1 −5 −6 1 are−2∓4j, −10.
[4 marks]Find the optimal controller(LQR) gain Kfor the system, x = Ax +Bu, where010 A = ( ), B = ( ) and the cost function/performance index J = 0 −1 1 ∫ ∞ (x′Qx+u′Ru)dt, wℎere Q = ( 1 0 ), and R = 1.001
[7 marks]