L. Given a dynamics G with the transfer function: 5s -4s2 +3s s' +5s +4s (a) Find an analog computer to implement this dynamics to guarantee internal stability, G(s) = which contains a feedback loop of the input and internal state. (b) Find another analog computer such that the output and internal state forms a feedback loop inside. (c) Infer the state-state realizations from the circuits of (a) and (b), respectively. (d) Based on the state-space realization in (c), describe how to program the dynamics G into a digital microcontroller. (e) Can the principle of convolution be directly applied to do (d)? Why or why not?

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter7: Arrays
Section7.5: Case Studies
Problem 15E
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1. Given a dynamics G with the transfer function:
5s-4s2 +3s
G(s) =
s' +5s +4s
(a) Find an analog computer to implement this dynamics to guarantee internal stability,
which contains a feedback loop of the input and internal state.
(b) Find another analog computer such that the output and internal state forms a feedback
loop inside.
(c) Infer the state-state realizations from the circuits of (a) and (b), respectively.
(d) Based on the state-space realization in (c), describe how to program the dynamics G
into a digital microcontroller.
(e) Can the principle of convolution be directly applied to do (d)? Why or why not?
Transcribed Image Text:1. Given a dynamics G with the transfer function: 5s-4s2 +3s G(s) = s' +5s +4s (a) Find an analog computer to implement this dynamics to guarantee internal stability, which contains a feedback loop of the input and internal state. (b) Find another analog computer such that the output and internal state forms a feedback loop inside. (c) Infer the state-state realizations from the circuits of (a) and (b), respectively. (d) Based on the state-space realization in (c), describe how to program the dynamics G into a digital microcontroller. (e) Can the principle of convolution be directly applied to do (d)? Why or why not?
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