In the following problem, we ask the reader to some of the details left out of the above discussion, to analyse the closed-loop system for the stability properties, and to conduct a numerical simulation of the nonlinear system.
The Nonlinear Feedback Control System. Using the relation (3) and (4), show that Eqs. (1) and (2) can be expressed in terms of
And
Where the negative feedback loop has been incorporated into the nonlinear system.
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Differential Equations: An Introduction to Modern Methods and Applications
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