Universal fuzzy models and universal fuzzy controllers for stochastic nonaffine nonlinear systems

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Article number6272339
Pages (from-to)328-341
Journal / PublicationIEEE Transactions on Fuzzy Systems
Volume21
Issue number2
Online published17 Aug 2012
Publication statusPublished - Apr 2013

Abstract

This paper investigates the universal fuzzy model and universal fuzzy controller problems for stochastic nonaffine nonlinear systems. The underlying mechanism of stochastic fuzzy logic is first discussed, and a stochastic generalized fuzzy model with new stochastic fuzzy rule base is then given. Based on their function approximation capability, these kinds of stochastic generalized fuzzy models are shown to be universal fuzzy models for stochastic nonaffine nonlinear systems under some sufficient conditions. An approach to stabilization controller design for stochastic nonaffine nonlinear systems is then developed through their stochastic generalized Takagi-Sugeno (T-S) fuzzy approximation models. Then, the results of universal fuzzy controllers for two classes of stochastic nonlinear systems, along with constructive procedures to obtain the universal fuzzy controllers, are also provided, respectively. Finally, a numerical example is presented to illustrate the effectiveness of the proposed approach. © 1993-2012 IEEE.

Research Area(s)

  • Stochastic nonaffine nonlinear systems (SNNS), stochastic Takagi-Sugeno (T-S) fuzzy models, universal fuzzy controllers, universal fuzzy models

Citation Format(s)

Universal fuzzy models and universal fuzzy controllers for stochastic nonaffine nonlinear systems. / Gao, Qing; Feng, Gang; Wang, Yong et al.
In: IEEE Transactions on Fuzzy Systems, Vol. 21, No. 2, 6272339, 04.2013, p. 328-341.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review