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E1131 Pages: 3

Consider a system with characteristic equation 2053 + 21 52 + 8258 + a3 =0;

given all coefficients are positive. Derive a sufficient condition for stability.

The open loop transfer function of a unity feedback system is
10K

s(s*+2s+2) Find the open loop poles?
Draw the root locus. Find the range of values of K for which the system is stable.

Find all the closed loop poles corresponding to a damping ratio of 0.7

PART 0
Answer any two full questions, each carries 10 marks.
Sketch the bode plot and find the gain crossover frequency for given

0
G(s)H(s) =
40 s(s +5)
Given

1
G(s) = ‏بس تہ‎
(s) 52(5 + 2)

Find
The open loop transfer function of a unity feedback system is
10

s(s + 2)(s + 5) Draw the Bode plot and find Gain margin and phase margin?

The open loop transfer function of a unity feedback system is
2K

s(s + 1()5 + 2) Investigate the stability of the system if K =1 using Nyquist
stability criteria. Find the range of values of K for which the system is stable

मे ‏بد‎ RR

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