0411103 - UTIA-B 20030090 RIV US eng J - Journal Article
Henrion, Didier - Šebek, M. - Kučera, V.
Positive polynomials and robust stabilization with fixed-order controllers.
IEEE Transactions on Automatic Control. Roč. 48, č. 7 (2003), s. 1178-1186. ISSN 0018-9286. E-ISSN 1558-2523
R&D Projects: GA ČR GA102/02/0709; GA MŠMT ME 496
Institutional research plan: CEZ:AV0Z1075907
Keywords : fixed-order controllers * linear matrix inequality * polynomials, robust control
Subject RIV: BC - Control Systems Theory
Impact factor: 1.896, year: 2003

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.
Permanent Link: http://hdl.handle.net/11104/0131190