(a) A feedback control system has the following characteristic equation. 5³+(4+ K) s² + 6s+ 8(K + 2) = 0 What is the maximum value of K before the system starts to oscillate? Determine, (i) the frequency of oscillation (ii) the value of the roots when the system oscillates. (b) Determine the range of values of K (K> 0) such that the characteristic equation, 5³ + 3(K + 1) s² + (7K+5) s+ (4K + 7) = 0, has roots more negative than s = - 1.

(a) A feedback control system has the following characteristic equation. 5³+(4+ K) s² + 6s+ 8(K + 2) = 0 What is the maximum value of K before the system starts to oscillate? Determine, (i) the frequency of oscillation (ii) the value of the roots when the system oscillates. (b) Determine the range of values of K (K> 0) such that the characteristic equation, 5³ + 3(K + 1) s² + (7K+5) s+ (4K + 7) = 0, has roots more negative than s = - 1.

Understanding Motor Controls

4th Edition

ISBN:9781337798686

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter54: The Operational Amplifier

Section: Chapter Questions

Problem 7RQ: Name two effects of negative feedback.

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