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Q3 (a) Consider the system shown in Figure Q3. R(s) (s+3) C(s) (s + 1)(s + 4)(s + 5) Figure Q3 Write the state equations and the output equation for the above evstem considering phase-variable form. (i) (ii) Now represent the system in state space matrix form. Draw a signal flow diagram, corresponding to the state space phase- variable form, obtained in part (ii). (iii)

Q3 (a) Consider the system shown in Figure Q3. R(s) (s+3) C(s) (s + 1)(s + 4)(s + 5) Figure Q3 Write the state equations and the output equation for the above evstem considering phase-variable form. (i) (ii) Now represent the system in state space matrix form. Draw a signal flow diagram, corresponding to the state space phase- variable form, obtained in part (ii). (iii)

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
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Q3 (a) Consider the system shown in Figure Q3. R(s) (s +3) C(s) (s + 1)(s + 4)(s +5) Figure Q3 Write the state equations and the output equation for the above evstem considering phase-variable form. (i) (ii) Now represent the system in state space matrix form. Draw a signal flow diagram, corresponding to the state space phase- variable form, obtained in part (ii). (iii) (b) Assume you are required to design an observer for the system in part (a). Continued overleaf Page 3 of 5 (i) To design the observer, obtain the characteristic polynomial for t plant. (ii) To satisfy the operating requirements of the system, the proposed observer is consisted with a dominant pole pair of s = -1+ j3. Design the gain values for the observer by placing the third pole 10 times as far from the imaginary axis as the dominant pole pair.
Transcribed Image Text:Q3 (a) Consider the system shown in Figure Q3. R(s) (s +3) C(s) (s + 1)(s + 4)(s +5) Figure Q3 Write the state equations and the output equation for the above evstem considering phase-variable form. (i) (ii) Now represent the system in state space matrix form. Draw a signal flow diagram, corresponding to the state space phase- variable form, obtained in part (ii). (iii) (b) Assume you are required to design an observer for the system in part (a). Continued overleaf Page 3 of 5 (i) To design the observer, obtain the characteristic polynomial for t plant. (ii) To satisfy the operating requirements of the system, the proposed observer is consisted with a dominant pole pair of s = -1+ j3. Design the gain values for the observer by placing the third pole 10 times as far from the imaginary axis as the dominant pole pair.
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