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Q#1 Root Locus Technique GATE EE 2000 MSQ +2 marks -0 marks

A unity feedback system has open-loop transfer function  

 

(a) Draw a rough sketch of the root locus plot; given that the complex roots of the characteristic equation move along a circle.

(b) As K increases, does the system become stable? Justify your answer.

(c) Find the value of K (if it exists) so that the damping  of the complex closed loop poles is 0.3

(a)
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(b) As k increases. The branches of root locus move left and hence system becomes more stable.

(c) no such value of k exists such that

None of these

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