Analise de estabilidade e controle de sistemas lineares incertos por funções de Lyapunov dependentes de parametros

AUTOR(ES)
DATA DE PUBLICAÇÃO

2003

RESUMO

This work deals with the study of sufficient robust stability conditions for uncertain linear systems (politopic uncertainty), in both continuous and discrete-time, using parameter dependent Lyapunov functions and Linear Matrix Inequalities (LMI s). The robust stability conditions are directly used to determine the stability domain of uncertain linear systems. The state feedback stabilization problem is also treated through the convex parametrization of the solution of the associate Lyapunov equation, in the context of linear parameter varying systems, using as starting point the sufficient robust stability conditions obtained in this work. Additionaly, the determination of the non-fragile stability domains for the controlers (static state or output feedback, and dynamic output feedback) is illustrated. Those sufficient robust stability conditions are also exploited, in conjuction with genetic algorithms (here, used only as a search tool) to compute robust controllers, searching directly in the parameter domain of the controller, thus allowing the inc1usion of additional controller structure constraints. Finally, the synthesis of LPV controllers is also presented as an extention of the combined robust stability conditions and genetic algorithms approach

ASSUNTO(S)

liapunov funções de estabilidade sistemas lineares teoria do controle

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