(a) Find the conditions on a transfer function G(z) such that its dc gain is zero. Prove...

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(a) Find the conditions on a transfer function G(z) such that its dc gain is zero. Prove your result.

(b) For-Ts G(z) = $ 1-6-6, (6) -G (0)| S

find the conditions of Gp (s) such that the de gain of G(z) is zero. Prove your result.

(c) Normally, a pole at the origin in the s-plane transforms into a pole at z = 1 in the z-plane. The function in the brackets in part (b) has a pole at the origin in the s-plane. Why does this pole not transform into a pole at z = 1?

(d) Find the conditions on G(z) such that its dc gain is unbounded. Prove your result.

(e) For G(z) as given in part (b), find the conditions of Gp (s) such that the dc gain of G(z) is unbounded. Prove your result.

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Related Book For  answer-question

Digital Control System Analysis And Design

ISBN: 9780132938310

4th Edition

Authors: Charles Phillips, H. Nagle, Aranya Chakrabortty

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