Linear matrix inequalities for robust strictly positive real design

0410893 - UTIA-B 20020107 RIV US eng J - Článek v odborném periodiku
Henrion, Didier
Linear matrix inequalities for robust strictly positive real design.
IEEE Transaction on Circuits and Systems. Roč. 49, č. 7 (2002), s. 1017-1020. ISSN 1057-7122
Grant CEP: GA ČR GA102/02/0709; GA MŠMT ME 427
Výzkumný záměr: CEZ:AV0Z1075907
Klíčová slova: linear matrix inequalities * polynomial * strictly positive real
Kód oboru RIV: BC - Teorie a systémy řízení
Impakt faktor: 0.956, rok: 2002

A necessary and sufficient condition is proposed for the existence of a polynomial p(s) such that the rational function p(s)/q(s) is robustly strictly positive real when q(s) is a given Hurwitz polynomial with polytopic uncertainty. It turns out that the whole set of candidates p(s) is a convex subset of the cone of positive semidefinite matrices, resulting in a straightforward strictly positive real design algorithm based on linear matrix inequalities.
Trvalý link: http://hdl.handle.net/11104/0130980