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01: Consider the closed loop system that shown in Fig.(1): K R(s) Cis) s(Ts+1) H(s) Fig.(1) The output time response (with unit step input) for this system (if H(s)=1) is given by the following equation: C(1) =1- e 0454 sin(1.045t + 0) 0.9165 a) Determine the value of natural frequency and damping ratio for this system. b) Find the value of K and T for this system. c) What is the value of the angle (0) in this system. d) Prove that the C(1) at 1=1, reach nearly to the desired value. Q2: Using the Routh's criterion, determine the stability of the closed-loop system that has the following characteristic equation: s6 + 255 + 5s* + 853 + 852 + 8S + 4 = 0 03: For system shown in Fig.(2) below: 11 R(s) +C(s) s+10 h Fig. (2) What is the value of h that make the ess (at t = 10)= 0.01 for closed loop response if the p is unit ramp.

01: Consider the closed loop system that shown in Fig.(1): K R(s) Cis) s(Ts+1) H(s) Fig.(1) The output time response (with unit step input) for this system (if H(s)=1) is given by the following equation: C(1) =1- e 0454 sin(1.045t + 0) 0.9165 a) Determine the value of natural frequency and damping ratio for this system. b) Find the value of K and T for this system. c) What is the value of the angle (0) in this system. d) Prove that the C(1) at 1=1, reach nearly to the desired value. Q2: Using the Routh's criterion, determine the stability of the closed-loop system that has the following characteristic equation: s6 + 255 + 5s* + 853 + 852 + 8S + 4 = 0 03: For system shown in Fig.(2) below: 11 R(s) +C(s) s+10 h Fig. (2) What is the value of h that make the ess (at t = 10)= 0.01 for closed loop response if the p is unit ramp.

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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01: Consider the closed loop system that shown in Fig.(1): K R(s) Cis) s(Ts+1) H(s) Fig.(1) The output time response (with unit step input) for this system (if H(s)=1) is given by the following equation: C(1) =1- e 0454 sin(1.045t + 0) 0.9165 a) Determine the value of natural frequency and damping ratio for this system. b) Find the value of K and T for this system. c) What is the value of the angle (0) in this system. d) Prove that the C(1) at 1=1, reach nearly to the desired value. Q2: Using the Routh's criterion, determine the stability of the closed-loop system that has the following characteristic equation: s6 + 255 + 5s* + 853 + 852 + 8S + 4 = 0 03: For system shown in Fig.(2) below: 11 R(s) +C(s) s+10 h Fig. (2) What is the value of h that make the ess (at t = 10)= 0.01 for closed loop response if the p is unit ramp.
Transcribed Image Text:01: Consider the closed loop system that shown in Fig.(1): K R(s) Cis) s(Ts+1) H(s) Fig.(1) The output time response (with unit step input) for this system (if H(s)=1) is given by the following equation: C(1) =1- e 0454 sin(1.045t + 0) 0.9165 a) Determine the value of natural frequency and damping ratio for this system. b) Find the value of K and T for this system. c) What is the value of the angle (0) in this system. d) Prove that the C(1) at 1=1, reach nearly to the desired value. Q2: Using the Routh's criterion, determine the stability of the closed-loop system that has the following characteristic equation: s6 + 255 + 5s* + 853 + 852 + 8S + 4 = 0 03: For system shown in Fig.(2) below: 11 R(s) +C(s) s+10 h Fig. (2) What is the value of h that make the ess (at t = 10)= 0.01 for closed loop response if the p is unit ramp.
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