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Master's Dissertation
DOI
10.11606/D.18.2009.tde-02072009-141628
Document
Author
Full name
João Paulo Cerri
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2009
Supervisor
Committee
Terra, Marco Henrique (President)
Geromel, José Cláudio
Ishihara, João Yoshiyuki
Title in Portuguese
Regulador robusto recursivo para sistemas lineares de tempo discreto no espaço de estado
Keywords in Portuguese
Equação de Riccati
Funções penalidade
Mínimos quadrados
Problema min-max
Regulador robusto
Sistemas discretos
Abstract in Portuguese
Esta dissertação de mestrado aborda o problema de regulação robusta recursiva para sistemas lineares discretos sujeitos a incertezas paramétricas. Um novo funcional quadrático, baseado na combinação de função penalidade e função custo do tipo jogos, é projetado para lidar com este problema. Uma característica interessante desta abordagem é que a recursividade pode ser realizada sem a necessidade do ajuste de parâmetros auxiliares. Bastante útil para aplicações online. A solução proposta é baseada numa equação recursiva de Riccati. Também, a convergência e a estabilidade do regulador para o sistema linear incerto invariante no tempo são garantidas.
Title in English
Recursive robust regulator for discrete-time state-space systems
Keywords in English
Discrete-time systems
Least squares
Min-max problem
Penalty function
Riccati equation
Robust regulator
Abstract in English
This dissertation deals with robust recursive regulators for discrete-time systems subject to parametric uncertainties. A new quadratic functional based on the combination of penalty functions and game theory is proposed to solve this class of problems. An important issue of this approach is that the recursiveness can be performed without the need of adjusting auxiliary parameters. It is useful for online applications. The solution proposed is based on Riccati equation which guarantees the convergence and stability of the time-invariant system.
 
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Cerri.pdf (1.80 Mbytes)
Publishing Date
2009-07-17
 
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