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)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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
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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