Briefly explain the terms time constant, damping ratio, undamped natural frequency and damped natural frequency in relation to the transient response of systems. For each of the systems with transfer funtions given below, determine the closed-loop poles and sketch the response c(t) when the input, r(t), is a unit step. Indicate the steady-state value of c(t) in each case. (i) (ii) (iii) C(s) 1 R(s) s+0.5 C(s) 1 R(s) s²+5.5s +2.5 = C(s) 1 = 2 R(s) s + s +1 k₁ b y(t) m x(t)

Briefly explain the terms time constant, damping ratio, undamped natural frequency and damped natural frequency in relation to the transient response of systems. For each of the systems with transfer funtions given below, determine the closed-loop poles and sketch the response c(t) when the input, r(t), is a unit step. Indicate the steady-state value of c(t) in each case. (i) (ii) (iii) C(s) 1 R(s) s+0.5 C(s) 1 R(s) s²+5.5s +2.5 = C(s) 1 = 2 R(s) s + s +1 k₁ b y(t) m x(t)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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