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1. The unity feedback system has a transfer function C(s) G(s) = K E(s) s(s+ a) and is to follow a ramp input, r(t) = tu(t), so that the steady-state output position differs from the input position by 0.01 of the input velocity (e.g., e(oo) = 1/K, = 0.01). The natural frequency of the closed-loop system will be w₁ = 5 rad/s. Answer the following questions (a) The system type (b) The values of K and a (c) The closed-loop system's damping ratio (<)

1. The unity feedback system has a transfer function C(s) G(s) = K E(s) s(s+ a) and is to follow a ramp input, r(t) = tu(t), so that the steady-state output position differs from the input position by 0.01 of the input velocity (e.g., e(oo) = 1/K, = 0.01). The natural frequency of the closed-loop system will be w₁ = 5 rad/s. Answer the following questions (a) The system type (b) The values of K and a (c) The closed-loop system's damping ratio (<)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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1. The unity feedback system has a transfer function G(s) = C(s) K = E(s) s(s+ a) and is to follow a ramp input, r(t) = tu(t), so that the steady-state output position differs from the input position by 0.01 of the input velocity (e.g., e(oo) = 1/K, = 0.01). = 5 rad/s. The natural frequency of the closed-loop system will be w Answer the following questions (a) The system type (b) The values of K and a (c) The closed-loop system's damping ratio (2)
Transcribed Image Text:1. The unity feedback system has a transfer function G(s) = C(s) K = E(s) s(s+ a) and is to follow a ramp input, r(t) = tu(t), so that the steady-state output position differs from the input position by 0.01 of the input velocity (e.g., e(oo) = 1/K, = 0.01). = 5 rad/s. The natural frequency of the closed-loop system will be w Answer the following questions (a) The system type (b) The values of K and a (c) The closed-loop system's damping ratio (2)
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