Guaranteed cost and positive real control of uncertain systems via static output feedback

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Xia, Yuanqing, Cheng, Jie, Shi, Peng, Liu, Guo-Ping and Rees, David (2008) Guaranteed cost and positive real control of uncertain systems via static output feedback. International Journal of Innovative Computing, Information and Control, 4 (6). pp. 1275-1281. ISSN 1349-4198


This paper focuses on the problem of guaranteed cost and positive real control for a class of linear systems which are subjected to mixed structured bounded uncertainty and unbounded unknown nonlinearities in the state equation. Sufficient conditions in terms of linear matrix inequalities (LMIs) and linear matrix equalities (LMEs) are presented for the existence of a static output feedback controller, that makes the resulting closed-loop system quadratically strict positive real and minimizes the upper bound for a given cost function. A numerical example is included to illustrate effectiveness of the theoretic results obtained.

Item type Article
Subjects Historical > FOR Classification > 0802 Computation Theory and Mathematics
Historical > FOR Classification > 0913 Mechanical Engineering
Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Keywords ResPubID18750, strict positive realness, uncertain systems, robust control, quadratic stability, linear matrix inequality
Citations in Scopus 13 - View on Scopus
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