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00000EC40912 1903

The open loop transfer function of a unity feedback system is given as
10
S(S + 2)(S+ 5)

Find the steady state error, if the input to the system is a unit ramp signal.

G(S) =

Derive dynamic error coefficients.

Derive an expression for time response of second order critically damped system to step
input.

Construct the signal flow graph for the following set of linear algebraic equation and find
the overall transfer function using Masons gain formula.

Xz = X, — 3X3 - 5X4, X3 = 252, ಕ್ಯ = 5X34 3X2, X5 = ‏ولا‎

PART B
Answer any two full questions, each carries 15 marks.

Sketch the root locus for the unity feedback system whose open loop transfer function is

G(s)H(S പ,
(s)H( ‏عی7(‎ 44612)

The open loop transfer function of a unity feedback system is given by

G(s) = By applying Routh criterion, discuss the stability of the

പോട
closed loop system as a function of K. Determine the value of K which will cause sustained
oscillations in the closed loop system. What are the corresponding oscillating frequencies?

Sketch the Bode diagram for the following transfer function and obtain gain and phase

cross over frequencies.
K(s+20)

GS ട്രാ

Use Nyquist criterion to determine whether the closed loop system having the following

open loop transfer function is stable or not. If not how many closed loop poles lie in the

right half of s-plane G(S)H(S)= ‏(3+ی(2+یء‎

Write short notes on PID controllers.
Explain the effect of adding poles and zeros on the location of root locus with diagram.
PART ©
Answer any two full questions, each carries 20 marks.

Find the time response of the system given below.

> =AX

= | 0 (|; णन्‌] ; ४= [1 - 1] [|

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