Lectures in Feedback Design for Multivariable Systems by Alberto Isidori

Author:Alberto Isidori
Language: eng
Format: epub, pdf
Publisher: Springer International Publishing, Cham

6.6 Examples and Counterexamples

Example 6.1

In this example it is shown that, if the relative degree of the system is higher than 1 and the normal form does not have the special structure (6.9), the assumption that system is globally minimum phase may not suffice to guarantee the existence of a feedback law that stabilizes the equilibrium with an arbitrarily large region of attraction. Consider the system having relative degree 2

and suppose

This system is globally minimum phase. However, it is not strongly minimum phase.

Set and observe that

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