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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

Published in:

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

Date of Conference:

2000