Control Theory — Summer 2021

Define following terms: (i) Poles (ii) characteristic equation iii) order of the system

Find the inverse Laplace transform of F(s) s(s+3)(s+4)

Explain any application of closed loop control system with block diagram.

Explain liquid level systems in brief

Define Following Terms: (I) Transfer Function (II) Summing point (III) Self Loop (IV) Source Node

Using Block Diagram reduction technique, find closed loop transfer function of system shown in figure.

Obtain differential equations of mechanical system shown in given figure and find out the transfer function.

Mention difference between transfer function approach and state space approach.

Find the state transition matrix of  0 6 A   1 51

Define various static Error constants and derive expression of each one.

Find the unit step response of system with transfer function C(s) = R(s) (s+10)

Derive state space representation of series RLC circuit.

Draw second order unit step response and explain associated specification terms.

What is Performance index ? Define various performance indices for closed loop control system.

What is the sensitivity of feedback control system explain in brief.

Draw the root locus for the open loop transfer function of a unity feedback control system is k G(s) = s(s+2)(s+3)

Discuss the effect of time delay on the stability of the process

s4 +10s3 +20s2 +30s+50 = 0 Check the stability of the given characteristic equation using Routh array.

Draw the root locus for the open loop transfer function of a unity feedback control system is k G(s) = s(s+2)(s2+2s+2)

What is Mcircle and Ncircles in Nyquist plot

Explain polar plot in brief.

Sketch Bode plot of a unity feedback control system having open loop20 transfer function as given below G(s) = s(s+2)

Explain standard test signals.

State Nyquist stability criteria.

Define and explain following terms with respect to frequency response. Gain margin, Phase margin, Gain crossover frequency and phase cross over frequency.