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Bibliografie

Journal Article

Positive polynomials and robust stabilization with fixed-order controllers

Henrion Didier, Šebek M., Kučera V.

: IEEE Transactions on Automatic Control vol.48, 7 (2003), p. 1178-1186

: CEZ:AV0Z1075907

: GA102/02/0709, GA ČR, ME 496, GA MŠk

: fixed-order controllers, linear matrix inequality, polynomials, robust control

(eng): Recent results on positive polynomials are used to obtain a convex inner approximation of the stability domain in the space of coefficients of a polynomial. An application to the design of fixed/order controllers robustly stabilizing a linear system subject to polytopic uncertainty is then proposed, based on linear matrix inequality optimization. The key ingredient in the design procedure resides in the choice of the central polynomials. Several numerical examples illustrate the relevance mof tha approach.

: 09I

: BC