On Parametrizations of State Feedbacks and Static Output Feedbacks and Their Applications

In this chapter, we provide an explicit free parametrization of all the stabilizing static state feedbacks for continuous-time Linear-Time-Invariant (LTI) systems, which are given in their state-space representation. The parametrization of the set of all the stabilizing static output feedbacks is ne...

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Detalles Bibliográficos
Autor principal: Peretz, Yossi
Formato: Capítulo de libro
Lenguaje:inglés
Publicado: IntechOpen 2021
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Acceso en línea:https://www.intechopen.com/chapters/79531
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Descripción
Sumario:In this chapter, we provide an explicit free parametrization of all the stabilizing static state feedbacks for continuous-time Linear-Time-Invariant (LTI) systems, which are given in their state-space representation. The parametrization of the set of all the stabilizing static output feedbacks is next derived by imposing a linear constraint on the stabilizing static state feedbacks of a related system. The parametrizations are utilized for optimal control problems and for pole-placement and exact pole-assignment problems.
ISBN:978-1-83969-788-3
DOI:10.5772/intechopen.101176