Nash Strategy Parameter Dependent Control for Polytopic Systems

Marc Jungers (1) , Pedro Luis Dias Peres (2) , Eugênio Castelan B. (3) , Edson Roberto de Pieri (3) , Hisham Abou-Kandil (1)

1 SATIE - Systèmes et Applications des Technologies de l'Information et de l'Energie
2 DT/FEEC - Departamento de Telemática, Faculdade de Engenharia Elétrica e de Computação
3 DAS - Departamento de Automação e Sistemas

This paper deals with designing Linear-Parameter Varying state feedback controls for systems including structured uncertainties described by a polytope, in the multiobjective framework. These controls are obtained by nonconvex coupled Semi-Definite Programs for linear-quadratic nonzero-sum differential games on infinite time horizon. An example illustrates the proposed generic algorithm.

Mots clés: Coupled Algebraic Riccati Type Equations; Robustness; Game Theory; Nash Strategy; Polytopic Uncertain Systems; LMI; SDP

Domaines: Automatique

Marc Jungers, Pedro Luis Dias Peres, Eugênio Castelan B., Edson Roberto de Pieri, Hisham Abou-Kandil. Nash Strategy Parameter Dependent Control for Polytopic Systems. 3rd IFAC Symposium on System, Structure and Control (SSSC), Oct 2007, Foz do Iguaçu, Brazil. pp.CD-ROM. ⟨hal-00201421⟩