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Bounded Nash type controls for uncertain linear systems

✍ Scribed by Marc Jungers; Eugênio B. Castelan; Edson R. De Pieri; Hisham Abou-Kandil

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
697 KB
Volume
44
Category
Article
ISSN
0005-1098

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✦ Synopsis

This paper deals with multicriteria controls for systems coping with polytopic uncertainties. The proposed controls are inspired by a Nash strategy for exactly known systems, reformulated as a nonconvex coupling between Semi-Definite Programming problems. The extension to the uncertain case duplicates the Linear Matrix Inequalities for all vertices of the polytope. A new iterative algorithm using Semi-Definite Programming is provided to design bounded Nash type controls for uncertain systems. A numerical example is given to illustrate the design method.

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