Control Synthesis for Discrete-Time T–S Fuzzy Systems Based on Membership Function-Dependent [Formula Omitted] Performance

This article focuses on disturbance attenuation problem for discrete-time Takagi–Sugeno (T–S) fuzzy systems. First, a membership function-dependent [Formula Omitted] performance index is proposed, by which, different performance can be achieved for local subsystems. Then, the better performance may...

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Bibliographic Details
Published inIEEE transactions on fuzzy systems Vol. 28; no. 12; p. 3360
Main Authors Dong, Jiuxiang, Hou, Qinghua, Ren, Mingming
Format Journal Article
LanguageEnglish
Published New York The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 01.01.2020
Subjects
Attenuation
Control methods
Discrete time systems
Feedback control
Fuzzy systems
Liapunov functions
Linear matrix inequalities
Mathematical analysis
Performance indices
Subsystems
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Summary:This article focuses on disturbance attenuation problem for discrete-time Takagi–Sugeno (T–S) fuzzy systems. First, a membership function-dependent [Formula Omitted] performance index is proposed, by which, different performance can be achieved for local subsystems. Then, the better performance may be obtained for the T–S fuzzy system that works on a particular local subsystem most of the time. It may guarantee better control effects in practical engineering applications. With the help of the newly defined performance index and fuzzy Lyapunov functions, an observer-based feedback control scheme is presented in the form of linear matrix inequalities. In simulation, the performance index obtained by this article can be improved by about [Formula Omitted] than that obtained by the traditional [Formula Omitted] control method.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2019.2950879