SciELO - Scientific Electronic Library Online

 
vol.18 número4Estabilidade robusta de sistemas neutrais com atrasos variantes no tempoFeedforward ins aiding: an investigation of maneuvers for in-flight alignment índice de autoresíndice de assuntospesquisa de artigos
Home Pagelista alfabética de periódicos  

Serviços Personalizados

Journal

Artigo

Indicadores

Links relacionados

Compartilhar


Sba: Controle & Automação Sociedade Brasileira de Automatica

versão impressa ISSN 0103-1759

Resumo

VALMORBIDA, Giórgio; LEITE, Valter Júnior de Souza  e  PERES, Pedro Luis Dias. Condições LMI do teorema do ganho pequeno escalonado para análise de estabilidade de sistemas incertos com atraso. Sba Controle & Automação [online]. 2007, vol.18, n.4, pp.447-458. ISSN 0103-1759.  https://doi.org/10.1590/S0103-17592007000400005.

Recently, it has been shown that some Lyapunov-based stability conditions for precisely known time-delay systems are equivalent to the robust stability of a delay-free comparison system through the small gain theorem with constant scales. The extension of those previous results to cope with uncertain time-delay systems in polytopic domains is the main contribution of this paper. From the definition of a generic system realization, linear matrix inequalities that are equivalent to the scaled small gain conditions but have extra matrix variables are given. Thanks to these extra matrices, delay-independent and delay-dependent stability conditions can be obtained for the analysis of time-delay systems in polytopic domains through parameter-dependent Lyapunov matrices, yielding conditions that are less conservative than others in the literature, as illustrated by means of numerical examples.

Palavras-chave : Robust stability; small gain theorem; timedelay systems; linear matrix inequalities.

        · resumo em Português     · texto em Português     · Português ( pdf )

 

Creative Commons License Todo o conteúdo deste periódico, exceto onde está identificado, está licenciado sob uma Licença Creative Commons