Local stabilization of linear systems under amplitude and rate saturating actuators

This note addresses the problem of local stabilization of linear systems subject to control amplitude and rate saturation. Considering the actuator represented by a first-order system subject to input and state saturation, a condition for the stabilization of an a priori given set of admissible init...

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Detalles Bibliográficos
Autores: Silva Junior, Joao Manoel Gomes da, Tarbouriech, Sophie, Garcia, Germain
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2003
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:10183/27572
Acceso en línea:http://hdl.handle.net/10183/27572
Access Level:acceso abierto
Palabra clave:Sistemas lineares : Estabilidade
Controle automático : Estabilidade
Constrained control
Control saturation
Linear matrix inequality (LMI)
Stabilization
Descripción
Sumario:This note addresses the problem of local stabilization of linear systems subject to control amplitude and rate saturation. Considering the actuator represented by a first-order system subject to input and state saturation, a condition for the stabilization of an a priori given set of admissible initial states is formulated from certain saturation nonlinearities representation and quadratic stability results. From this condition, an algorithm based on the iterative solution of linear matrix inequalities-based problems is proposed in order to compute the control law.