Synthesis of Controllers for Continuous-Time Delay Systems with Saturating Controls via LMI's

The stabilization of linear continuous-time systems with time delay in the state and subject to saturating controls is addressed. Sufficient conditions obtained via a linear matrix inequality (LMI) formulation are stated to guarantee both the local stabilization and the satisfaction of some performa...

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Detalles Bibliográficos
Autores: Tarbouriech, Sophie, Silva Junior, Joao Manoel Gomes da
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2000
País:Brasil
Institución:Universidade Federal do Rio Grande do Sul (UFRGS)
Repositorio:Repositório Institucional da UFRGS
Idioma:inglés
OAI Identifier:oai:www.lume.ufrgs.br:10183/27561
Acceso en línea:http://hdl.handle.net/10183/27561
Access Level:acceso abierto
Palabra clave:Sistemas lineares : Estabilidade
Controle automático : Estabilidade
Control saturation
Linear matrix inequalities (LMI’s)
Local stability
Time-delay systems
Descripción
Sumario:The stabilization of linear continuous-time systems with time delay in the state and subject to saturating controls is addressed. Sufficient conditions obtained via a linear matrix inequality (LMI) formulation are stated to guarantee both the local stabilization and the satisfaction of some performance requirements. The method of synthesis consists in determining simultaneously a state feedback control law and an associated domain of safe admissible states for which the stability of the closed-loop system is guaranteed when control saturations effectively occur.