Guaranteed Cost Control for Nonlinear Singular System with Time Delays Using T-S Fuzzy Model

被引：3
|
作者：
Ren, Junsheng [1 ]
Zhang, Xianku [1 ]
机构：
[1] Dalian Maritime Univ, Lab Marine Simulat & Control, Dalian 116026, Peoples R China
来源：
APPLIED MATHEMATICS & INFORMATION SCIENCES | 2013年 / 7卷 / 04期
基金：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词：
Nonlinear singular system; guaranteed cost control; Takagi-Sugeno (T-S) fuzzy system; linear matrix inequality (LMI); time-delay system; ROBUST STABILITY; TRACKING CONTROL; CRITERIA;
D O I：
10.12785/amis/070448
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Singular system is a natural representation of dynamical systems. Guaranteed cost fuzzy control problem for a class of nonlinear singular system is addressed. The nonlinear singular system contains time-varying and norm-bounded uncertainties simultaneously in the matrices of states, delayed states and control inputs. Nonlinear singular system is formulated in the framework of Takagi-Sugeno (T-S) fuzzy system. Parallel-distributed compensation (PDC) scheme is equipped to design T-S fuzzy controller. Sufficient conditions are stated to guarantee both the stabilization and close-loop system's performance requirements. The conditions are obtained via linear matrix inequalities (LMIs) techniques, which can be solved through convex optimization method efficiently. Finally, numerical example demonstrates the usage of the proposed results.
引用
收藏
页码：1615 / 1622
页数：8
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