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(a) Derive the system's loop transfer function L(s) and closed-loop transfer function T₁ (s) Y(s) R(S) (b) Determine the steady-state error E(s) (i.e., = R(s) - Y(s)), in terms of k, for a unit step input, R(s) == (c) Refer to the characteristic function of the closed-loop system of Fig. Q4 and with k set to 10, determine the percentage overshoot (P. O.) and 2% settling time of the closed-loop system's characteristic behaviour.

(a) Derive the system's loop transfer function L(s) and closed-loop transfer function T₁ (s) Y(s) R(S) (b) Determine the steady-state error E(s) (i.e., = R(s) - Y(s)), in terms of k, for a unit step input, R(s) == (c) Refer to the characteristic function of the closed-loop system of Fig. Q4 and with k set to 10, determine the percentage overshoot (P. O.) and 2% settling time of the closed-loop system's characteristic behaviour.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Q4 just answer a few of them no need to complete everything thank you. 

Question 4 Consider the system in Fig. Q4 with the following transfer functions: k(s+2) s+6 Gc(s) = G(s) ‚H(s) = 1. S s²+2s Controller Process + Eg(s) R(S) Ge(s) G(s) Y(s) Sensor H(s) Fig. Q4 (a) Derive the system's loop transfer function L(s) and closed-loop transfer function T₁ (s) = Y(s) R(s)* - (b) Determine the steady-state error E (s) (i.e., = R(s) — Y(s)), in terms of k, for a unit step input, R(s) = = (c) Refer to the characteristic function of the closed-loop system of Fig. Q4 and with k set to 10, determine the percentage overshoot (P. O.) and 2% settling time of the closed-loop system's characteristic behaviour. (d) With k set to 10, comment and explain whether the actual response of the system in Fig. Q4 (i.e., the closed-loop transfer function) will have the exact step response as described by the solutions (P.O. and 2% settling time) in part (c). =
Transcribed Image Text:Question 4 Consider the system in Fig. Q4 with the following transfer functions: k(s+2) s+6 Gc(s) = G(s) ‚H(s) = 1. S s²+2s Controller Process + Eg(s) R(S) Ge(s) G(s) Y(s) Sensor H(s) Fig. Q4 (a) Derive the system's loop transfer function L(s) and closed-loop transfer function T₁ (s) = Y(s) R(s)* - (b) Determine the steady-state error E (s) (i.e., = R(s) — Y(s)), in terms of k, for a unit step input, R(s) = = (c) Refer to the characteristic function of the closed-loop system of Fig. Q4 and with k set to 10, determine the percentage overshoot (P. O.) and 2% settling time of the closed-loop system's characteristic behaviour. (d) With k set to 10, comment and explain whether the actual response of the system in Fig. Q4 (i.e., the closed-loop transfer function) will have the exact step response as described by the solutions (P.O. and 2% settling time) in part (c). =
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