Robust covariance control for discrete system by Takagi-Sugeno fuzzy controllers

Variances of the system states or outputs often play vital roles in the problem for performance requirements of many stochastic control systems. For linear stochastic systems, the covariance control technique has been applied to deal with the variance constrained design problem. This paper extends t...

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Bibliographic Details
Published in:	ISA transactions 2004-07, Vol.43 (3), p.377-387
Main Authors:	Chang, Wen-Jer, Shing, Chong-Cheng
Format:	Article
Language:	eng
Subjects:	Applied sciences Computer science control theory systems Control theory. Systems Discrete-time perturbed stochastic systems Discrete-time Takagi-Sugeno fuzzy model Exact sciences and technology General equipment and techniques Instruments, apparatus, components and techniques common to several branches of physics and astronomy Physics Servo and control equipment robots Upper bound state covariance control Variance constraints
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Summary:	Variances of the system states or outputs often play vital roles in the problem for performance requirements of many stochastic control systems. For linear stochastic systems, the covariance control technique has been applied to deal with the variance constrained design problem. This paper extends this technique to a class of discrete-time nonlinear perturbed stochastic systems, which are modeled by the Takagi-Sugeno (TS) fuzzy systems. By fuzzy IF-THEN rules, which represent local linear input-output relations, the nonlinear systems can be described by TS fuzzy models. According to the parallel distributed compensation (PDC) concept, the discrete-time nonlinear perturbed stochastic systems can be driven by the linear feedback gains. The purpose of this paper is to provide a method to design an output feedback fuzzy controller, which is based on the upper bound state covariance control technique and PDC concept, for the discrete-time perturbed stochastic systems using TS fuzzy models.
ISSN:	0019-0578 1879-2022