Control Theory — Summer 2022

Enlist advantages and disadvantages of closed loop control system over open loop control system.

Find the impulse response of a system whose transfer function is1 G(s)= s+4

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

Define following terms: (i)Transfer Function (ii) Poles (iii) Zeros

Explain any four rules of block diagram reduction.

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

Find the mathematical model of the mechanical network

Explain bounded input bounded output (BIBO) stability criterion.

By means of Routh criterion, determine the stability of the system and location of the roots described by characteristic equations. S5 + 2 S4 + 3 S3 + 6 S2 +10S+ 15 = 0

Obtain the overall transfer function using Mason’s gain formula for the signal flow graph shown in Fig.

Explain state, state variables and state vector

Explain relation between location of poles in s plane & impulse responses with diagram only.

Derive transfer function of field controlled dc motor.

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

Explain gain margin and phase margin.

Sketch the root locus for the given open loop transfer function k G(S)H(S) = s(s+1)(s+3)

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

Find Centroid & Angle of asymptotes of Root Locus for the given system k G(s)= s(s2+8s+32)

Sketch Bode plot of a unity feedback control system having open loop100 transfer function as given below G(s)H(s) = . Find GM,PM. s(s+1)(s+2)

Explain self loop, forward path and loop gain with respect to signal flow graph.

Explain the Nyquist stability criterion.

Derive state space representation of series RLC circuit.

Mention difference between transfer function approach and state space approach.

1 Find the polar plot of G(s)= 1+sT

0 −2 Find state transition matrix if A=[ ] 1 −3