Control Systems — Winter 2022

Compare closed loop and open loop system.

Discuss Force-Current (F-I) analogous system with analogous quantity.

Define steady state error and derive the expressions for static error coefficients corresponding to step, ramp and parabolic inputs respectively.

List properties of the transfer function.

Discuss unit step response of first order system.

Draw the Nyquist plot for G(s) = 1⁄s(s +1) and comment on system stability.

For the signal flow graph shown in Fig. 1, using Mason’s gain formula determine the overall transmission C/R.

What is polar plot?

Using Routh’s criterion check the stability of a system whose characteristic equation is given by s5 + 2s4 + 2s3 + 4s2 + 11s + 10 = 0

Obtain the state transition matrix for the state model whose system matrix is given by A=[1 1;0 1].

Describe in brief about PD controller.

List advantages of state variable analysis.

Draw the bode plot for a unity feedback system having,

Discuss following transient response specification: Delay Time, Peak overshoot, Settling Time

Describe critical rules of block diagram reduction techniques.

What is Root locus? Sketch the Root locus plot for the unity feedback system having open loop transfer function,

Define: Gain margin, phase margin, absolute stability

Describe any four block diagram reduction techniques.

Discuss steps to design a Lag Compensator using Bode plot method.

Write a note on PID controller.

Derive the expression for peak time Tp for a second order control system subjected to a unit step input.

Write a short note on state space representation of a control system.1

Discuss the effect of feedback on sensitivity.

Explain the Lead Compensator with its transfer function.

Derive the state variable equation = AX + BU and Y = CX + DU. Also draw the state diagram Fig. 1