Control Theory — Winter 2022

Compare open loop control system with closed loop control system.

Find the inverse Laplace transform of F(s) s(s+1)(s+4)

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

Define the following terms: Poles, Zeros, characteristic equation

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

Find the transfer function using Mason’s gain formula.

List out the rules for block diagram Reduction technique.

Find the unit impulse response of system with a transfer function C(s) = R(s) (s+5)

Derive the state model for series RLC circuit.

Draw second order unit step response and derive the equation for Maximum peak overshoot and peak time.

Mention difference between transfer function approach and state space approach.

Define state transition matrix using an equation.

Aunity feedback system has 40 (s+2) G(s) = determine all error coefficient and error for ramp input. s(s+1)(s+4)

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

Explain standard test signals.

Draw the root locus for the open loop transfer function of a unity feedback control system is1 k G(s) = s(s+2)(s+4)

What is Mcircle and Ncircles in Nyquist plot.

s6 +3s5 +5s4 +9s3 + 8s2 +6s+4 = 0 Check the stability of the given characteristic equation using Routh array.

Aunity control system has80 G(s) = s(s+2)(s+20) Draw the bode plot and comment on stability .

Draw the step response of second order systems for critical damped, overdamped and underdamped.

State Nyquist stability criteria.

Explain root locus technique rules.

Define the following terms with respect to frequency response (i) Gain Margin (ii) Phase Margin (iii) Gain crossover frequency

Derive the transfer function of the phase lead network.

What is polar plot ? Explain polar plot for Type 0,1 and 2 system.