Fuzzy control with robust and passive properties for discrete-time Takagi-Sugeno fuzzy systems with multiplicative noises

被引：10

作者：

Chang, W-J ^{[1
]}

Jheng, S-S ^{[1
]}

Ku, C-C ^{[2
]}

机构：

[1] Natl Taiwan Ocean Univ, Dept Marine Engn, Keelung 202, Taiwan

[2] Natl Taiwan Ocean Univ, Dept Elect Engn, Keelung 202, Taiwan

来源：

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING | 2012年 / 226卷 / I4期

关键词：

robust fuzzy control; multiplicative noise; Takagi-Sugeno fuzzy model; linear matrix inequality; QUADRATIC DIFFERENTIAL FORMS; STOCHASTIC-SYSTEMS; INPUT ENERGY; STABILIZATION; DESIGN;

D O I：

10.1177/0959651811424379

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with the problem of robust fuzzy control for uncertain passive discrete-time non-linear stochastic systems with multiplicative noise. In this paper the non-linear stochastic system is represented by a Takagi-Sugeno fuzzy model. Using that approach the concept of parallel distributed compensation is applied to construct the fuzzy controller. Sufficient stability conditions are derived in terms of a linear matrix inequality by applying the Lyapunov theory. In addition, the passivity theory and robust technique are used to guarantee strict input passivity and robust asymptotical stability of the closed-loop system with admissible parameter uncertainties. Finally, a numerical example concerning the control of a truck-trailer system is provided to demonstrate the validity of the proposed fuzzy controller design method.

引用

页码：476 / 485

页数：10

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