Stability Analysis and Design of Time-Varying Nonlinear Systems Based on Impulsive Fuzzy Model | Zendy

Wang Yuan-gan | Zendy; Hong-Lin Yu | Zendy; Xiaohong Zhang | Zendy; Dong Li | Zendy

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Stability Analysis and Design of Time-Varying Nonlinear Systems Based on Impulsive Fuzzy Model

Author(s) -

Wang Yuan-gan,

Hong-Lin Yu,

Xiaohong Zhang,

Dong Li

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/192546

Subject(s) - control theory (sociology) , nonlinear system , exponential stability , fuzzy logic , impulse (physics) , stability (learning theory) , fuzzy control system , computer science , mathematics , controller (irrigation) , control (management) , artificial intelligence , physics , quantum mechanics , machine learning , agronomy , biology

This paper develops a general analysis and design theory for nonlinear time-varying systems represented by impulsive T-S fuzzy control model, which extends conventional T-S fuzzy model. In the proposed, model impulse is viewed as control input of T-S model, and impulsive distance is the major controller to be designed. Several criteria on general stability, asymptotic stability, and exponential stability are established, and a simple design algorithm is provided with stability of nonlinear time-invariant systems. Finally, the numerical simulation for the predator-prey system with functional response and impulsive effects verify the effectiveness of the proposed methods

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