Composite fuzzy control of nonlinear singularly perturbed systems

被引：43

作者：

Li, Tzuu-Hseng S. ^{[1
]}

Lin, Kuo-Jung ^{[1
]}

机构：

[1] Natl Cheng Kung Univ, Dept Elect Engn, Tainan 701, Taiwan

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2007年 / 15卷 / 02期

关键词：

H-infinity control performance; linear matrix inequality (LMI); nonlinear singularly perturbed (NSP) systems; singularly perturbed fuzzy (SPF) systems; Takagi-Sugeno (T-S); fuzzy model; ROBUST STABILIZATION; STABILITY BOUNDS; CONTROL DESIGN; PERTURBATIONS; OBSERVERS;

D O I：

10.1109/TFUZZ.2006.878252

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper presents the composite fuzzy control to stabilize the nonlinear singularly perturbed (NSP) systems with guaranteed H-infinity control performance. We use the Takagi-Sugeno (T-S) fuzzy model to construct the singularly perturbed fuzzy (SPF) systems. The corresponding fuzzy slow and fast subsystems of the original SPF system are also obtained. At first, a set of common positive-define matrices and the controller gains are determined by the Lyapunov stability theorem and linear matrix inequality (LMI) approach. Then, a sufficient condition is derived for the robust stabilization of NSP systems. The composite fuzzy control will stabilize the original NSP systems for all epsilon is an element of (0, epsilon*) and the allowable perturbation bound epsilon* can be determined via some algebra inequalities. A practice example is adopted to demonstrate the feasibility and effectiveness of the proposed control scheme.

引用

页码：176 / 187

页数：12

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