Guaranteed cost control of uncertain T-S fuzzy systems via output feedback approach

Authors:
Jun Wei;Yali Dong;Yongfeng Su
Affiliations:
School of Science, Tianjin Polytechnic University, Tianjin, P R China;School of Science, Tianjin Polytechnic University, Tianjin, P R China;School of Science, Tianjin Polytechnic University, Tianjin, P R China
Venue:
WSEAS TRANSACTIONS on SYSTEMS
Year:
2011

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Abstract

This paper focuses on the problem of Guaranteed cost control of uncertain T-S fuzzy systems. Based on observer design, the guaranteed cost output feedback control law which guarantees that the closed-loop uncertain T-S fuzzy system is robustly asymptotically stable is proposed. By utilizing the Lyapunov function together with the linear matrix inequality (LMI) approach and free weighting matrix method, some sufficient conditions are obtained, which guarantee the asymptotic stability of uncertain T-S fuzzy systems. A numerical example is included to show the proposed method is effective and can provide less conservative results.