L2-L∞ Control of Nonlinear Fuzzy Ito Stochastic Delay Systems via Dynamic Output Feedback

被引:110
|
作者
Wu, Ligang [1 ]
Zheng, Wei Xing [2 ]
机构
[1] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China
[2] Univ Western Sydney, Sch Comp & Math, Sydney, NSW 1797, Australia
基金
澳大利亚研究理事会; 中国国家自然科学基金;
关键词
Dynamic output feedback (DOF) control; Ito stochastic systems; L-2-L-infinity performance; T-S fuzzy systems; TIME-VARYING DELAY; SLIDING MODE CONTROL; H-INFINITY CONTROL; ROBUST STABILITY; DISCRETE; STATE; DESIGN;
D O I
10.1109/TSMCB.2008.2012350
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 addresses the L-2-L-infinity dynamic output feedback (DOF) control problem for a class of nonlinear fuzzy It stochastic systems with time-varying delay. The focus is placed upon the design of a fuzzy DOF controller guaranteeing a prescribed noise attenuation level in an L-2-L-infinity sense. By using the slack matrix approach, a delay-dependent sufficient condition is derived to assure the mean-square asymptotic stability with an L-2-L-infinity performance for the closed-loop system. The corresponding solvability condition for a desired L-2-L-infinity DOF controller is established. Since these obtained conditions are not all expressed in terms of linear matrix inequality (LMI), the cone complementary linearization method is exploited to cast them into sequential minimization problems subject to LMI constraints, which can be easily solved numerically. Finally, numerical results are presented to demonstrate the usefulness of the proposed theory.
引用
收藏
页码:1308 / 1315
页数:8
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