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
Abstract
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 |
| URI | https://vuir.vu.edu.au/id/eprint/4062 |
| 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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