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a) Write the differential equation of plant Gp(s). This equation relates c(t) and m(t). b) Find closed-loop transfer function C(s)/R(s). c) Find transfer function E(s)/R(s). d) If R (s) is the unit step, find steady-state output Css.

a) Write the differential equation of plant Gp(s). This equation relates c(t) and m(t). b) Find closed-loop transfer function C(s)/R(s). c) Find transfer function E(s)/R(s). d) If R (s) is the unit step, find steady-state output Css.

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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Problem 3. A feedback control system is illustrated in Fig. 2. The plant, compensator and sensor transfer functions are given by Gp(s) = 0+1' Gc(s) = 10, H(s) = 1 0.25+1' Plant RG) Compensator G(s) EG) Sensor HG) MG) G₂G) CL) Fig. 2. a) Write the differential equation of plant Gp(s). This equation relates c(t) and m(t). b) Find closed-loop transfer function C(s)/R(s). c) Find transfer function E(s)/R(s). d) If R(s) is the unit step, find steady-state output Cgs.
Transcribed Image Text:Problem 3. A feedback control system is illustrated in Fig. 2. The plant, compensator and sensor transfer functions are given by Gp(s) = 0+1' Gc(s) = 10, H(s) = 1 0.25+1' Plant RG) Compensator G(s) EG) Sensor HG) MG) G₂G) CL) Fig. 2. a) Write the differential equation of plant Gp(s). This equation relates c(t) and m(t). b) Find closed-loop transfer function C(s)/R(s). c) Find transfer function E(s)/R(s). d) If R(s) is the unit step, find steady-state output Cgs.
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