A delay partitioning approach to delay-range-dependent stability analysis of fuzzy systems |
| |
Authors: | Min Kook Song Jin Bae Park Young Hoon Joo |
| |
Affiliation: | 1.Department of Control and Robotics Engineering,Kunsan National University,Kunsan, Chonbuk,Korea;2.School of Electrical and Electronic Engineering,Yonsei University,Seoul,Korea |
| |
Abstract: | 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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|