A delay partitioning approach to delay-range-dependent stability analysis of fuzzy systems

被引：0
作者：
Min Kook Song
Jin Bae Park
Young Hoon Joo
机构：
[1] Kunsan National University,Department of Control and Robotics Engineering
[2] Yonsei University,School of Electrical and Electronic Engineering
来源：
International Journal of Control, Automation and Systems | 2012年 / 10卷
关键词：
Delay-decomposition; linear matrix inequalities; Takagi-Sugeno fuzzy systems; time-delay;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is concerned with the stability analysis of Takagi-Sugeno (T-S) fuzzy systems with time varying delays in a given range. The delay partitioning approach is proposed to solving the problem of stability analysis for T-S fuzzy systems. By employing a new type of Lyapunov-Krasovskii functionals, delay-range-dependent stability criteria are derived for T-S fuzzy systems. The idea of the approach is that the delay interval is uniformly divided into N segments with N a positive integer, and a proper Lyapunov-Krasovskii functional is chosen with different weighted matrices corresponding to different segments in the Lyapunov-Krasovskii functional. All the sufficient criteria are established in terms of linear matrix inequalities (LMIs), which can be solved efficiently by using the LMI algorithm. Finally, numerical example is given to illustrate the less conservatism of the proposed method.
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页码：143 / 149
页数：6
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