Delay-Dependent Stability Analysis of Uncertain Fuzzy Systems with State and Input Delays under Imperfect Premise Matching. (4th April 2013)

• Record Type: Journal Article
• Authors: Zhang, Zejian; Gao, Xiao-Zhi; Zenger, Kai; Huang, Xianlin
• Other Names: Shi Peng Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-04-04
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/324738
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper discusses the stability and stabilization problem for uncertain T-S fuzzy systems with time-varying state and input delays. A new augmented Lyapunov function with an additional triple-integral term and different membership functions of the fuzzy models and fuzzy controllers are introduced to derive the stability criterion, which is less conservative than the existing results. Moreover, a new flexibility design method is also provided. Some numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed method.