Question

1. Consider the open-loop the transfer function: \frac{s + 10}{s^4 + 116s^3 + 2465s^2 + 11350s + 9000} G(s) = 4500 You can enter G into MATLAB via: G = 4500*tf([1 10], [1 116 2465 11350 9000]) (a) Consider a closed-loop system with transfer function \frac{G}{1+G}. Is the closed-loop system stable? Use the Bode plot of G to explain your answer. (b) Give the gain and phase margin for G. (c) Considering the feedback setup with transfer function \frac{G}{1+G}, how much delay could you add in the feedback loop before the system would become unstable?

          1. Consider the open-loop the transfer function:
\frac{s + 10}{s^4 + 116s^3 + 2465s^2 + 11350s + 9000}
G(s) = 4500
You can enter G into MATLAB via: G = 4500*tf([1 10], [1 116 2465 11350 9000])
(a) Consider a closed-loop system with transfer function \frac{G}{1+G}. Is the closed-loop system stable? Use
the Bode plot of G to explain your answer.
(b) Give the gain and phase margin for G.
(c) Considering the feedback setup with transfer function \frac{G}{1+G}, how much delay could you add in the
feedback loop before the system would become unstable?

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1. Consider the open-loop the transfer function:
(s + 10)/(s^4 + 116s^3 + 2465s^2 + 11350s + 9000)
G(s) = 4500
You can enter G into MATLAB via: G = 4500*tf([1 10], [1 116 2465 11350 9000])
(a) Consider a closed-loop system with transfer function (G)/(1+G). Is the closed-loop system stable? Use
the Bode plot of G to explain your answer.
(b) Give the gain and phase margin for G.
(c) Considering the feedback setup with transfer function (G)/(1+G), how much delay could you add in the
feedback loop before the system would become unstable?

Added by Wesley V.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

09/21/2023

Step 1

The stability of the closed-loop system can be determined by looking at the phase margin and gain margin of the open-loop transfer function G. Show more…

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Please providea readable, clear correct solution please Consider the open-loop the transfer function: G(s)=4500(s+10)/(s^(4)+116s^(3)+2465s^(2)+11350s+9000) (a) Consider a closed-loop system with transfer function (G)/(1+G). Is the closed-loop system stable? Use the Bode plot of G to explain your answer. (b) Give the gain and phase margin for G. (c) Considering the feedback setup with transfer function (G)/(1+G), how much delay could you add in the feedback loop before the system would become unstable? 1. Consider the open-loop the transfer function: s+10 G(s) =4500 s4+116 s3+2465 s2+11350 s+9000 You can enter G into MATLAB via: G = 4500*tf([1 10],[1 116 2465 11350 9000]) the Bode plot of G to explain your answer (b) Give the gain and phase margin for G. feedback loop before the system would become unstable?

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