Control Theory — Summer 2024

What is feedback? Explain the effect of feedback.

What is transfer function? Discuss properties, advantages and disadvantages of it.

What is control system? What are the different types of control systems? Compare openloop and closed-loop control system.

Define: Order of the system, Self-loop, Steady-state error.

Explain the conditions for Stable, Marginally stable and Unstable systems.

For the system represented by the block diagram shown in Fig. evaluate the closed-loop transfer function.

What is analogous system? Explain Force-Voltage and Force-Current Analogy with suitable Example.

Explain: State, State variable, state space.

Explain standard test signals.

Determine the transfer function of the system with signal flow graph shown in figure. .

Compare Block diagram and Signal flow graph methods.

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

Obtain Transfer function of the mechanical system shown in figure.

Explain: Frequency response, Root locus, Centroid.

Derive an expression for the Peak Overshoot for a second order control system subjected to a unit step input.

The characteristic equation of a system is given by S4 + 8S3 + 18S2 + 16S + 4 = 0. Investigate the stability of a system by means of Routh criterion,

Find error constant and steady state error for type-1 system for unit step input.

Define: (1) Delay time (2) Rise time (3) Peak time (4) Settling time

Sketch root locus for unity feedback control system, having following open loop transfer function.

Explain gain margin and phase margin.

List properties of M-circles.

Determine gain margin & phase margin by sketching Bode plots of a unity feedback control system, having open loop transfer function G(S) H(s) = 100/ s(s + 1)(s + 2)

Explain Gain Crossover frequency and Phase Crossover frequency.

Write a short note on PID controller.

Draw Nyquist plot for unity feedback system having following open loop transfer function. Comment on stability.