Relaxed stabilisation criterion for discrete T-S fuzzy systems by minimum-type piecewise non-quadratic Lyapunov function

Y. J. Chen, H. Ohtake, K. Tanaka, W. J. Wang, H. O. Wang

研究成果: 雜誌貢獻期刊論文同行評審

18 引文 斯高帕斯(Scopus)

摘要

Piecewise Lyapunov functions and non-quadratic Lyapunov functions have been employed to analyse Takagi-Sugeno (T-S) fuzzy systems for getting relaxed results in the literature. Nevertheless, until now piecewise non-quadratic Lyapunov functions have not been used to design T-S fuzzy control systems. Motivated by the aforementioned concerns, this study utilises the minimum-type piecewise non-quadratic Lyapunov function to design the discrete T-S fuzzy control system. Based on the piecewise non-quadratic Lyapunov function, the switching non-parallel distributed compensation control law is proposed to obtain the relaxed stabilisation criterion. Owing to that some conditions of the proposed criterion are bilinear matrix inequalitiy conditions, the particle swarm optimisation algorithm is applied for finding out the solution of the criterion. An example is provided to illustrate the effectiveness of the proposed criterion.

原文???core.languages.en_GB???
頁(從 - 到)1918-1925
頁數8
期刊IET Control Theory and Applications
6
發行號12
DOIs
出版狀態已出版 - 16 8月 2012

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