Stability Analysis of Interconnected Fuzzy Systems Using the Fuzzy Lyapunov Method

被引：49
|
作者：
Yeh, Ken [2 ]
Chen, Cheng-Wu [1 ]
机构：
[1] Shu Te Univ, Dept Logist Management, Kaohsiung 82445, Taiwan
[2] De Lin Inst Technol, Dept Construct Sci & Technol, Taipei 236, Taiwan
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2010年 / 2010卷
关键词：
ROBUSTNESS DESIGN; STABILIZATION; CONTROLLER; MODEL;
D O I：
10.1155/2010/734340
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The fuzzy Lyapunov method is investigated for use with a class of interconnected fuzzy systems. The interconnected fuzzy systems consist of J interconnected fuzzy subsystems, and the stability analysis is based on Lyapunov functions. Based on traditional Lyapunov stability theory, we further propose a fuzzy Lyapunov method for the stability analysis of interconnected fuzzy systems. The fuzzy Lyapunov function is defined in fuzzy blending quadratic Lyapunov functions. Some stability conditions are derived through the use of fuzzy Lyapunov functions to ensure that the interconnected fuzzy systems are asymptotically stable. Common solutions can be obtained by solving a set of linear matrix inequalities (LMIs) that are numerically feasible. Finally, simulations are performed in order to verify the effectiveness of the proposed stability conditions in this paper.
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页数：10
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