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Control of linear systems subject to input constraints: a polynomial approach. MIMO case

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3 Author(s)
Henrion, D. ; Lab. d''Autom. et d''Anal. des Syst., CNRS, Toulouse, France ; Tarbouriech, S. ; Kucera, V.

A polynomial approach is pursued for locally stabilizing discrete-time linear systems subject to input constraints. Using the Youla-Kucera parametrization and geometric properties of polyhedra and ellipsoids, the problem of simultaneously deriving a stabilizing controller and the corresponding stability region is cast into standard convex optimization problems solved by linear, second-order cone and semidefinite programming. Key topics are touched on the stabilization of MIMO plants or maximization of the size of the stability domain. Readily implementable algorithms are described

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American Control Conference, 2000. Proceedings of the 2000  (Volume:3 )

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