Stability analysis for a class of fuzzy positive systems with delay

Author

Yunfei Yin ; Yin, Y. ; Xiaolong Zheng ; Zheng, X. ; Haijiao Yang ; Yang, H.

Author_Institution

Bohai Univ., Jinzhou, China

fYear

2014

Firstpage

1181

Lastpage

1185

Abstract

This paper considers the problems of stability for continuous-time positive nonlinear systems with delay via T-S fuzzy modeling. Based on quadratic copositive Lyapunov-Krasovskii functions (QCLKFs) a simple sufficient condition of stabilityis is obtained, which is independent of the delay. Then, the proposed stability conditions are improved via high order relaxations in the QCLKF and its time derivative which can further reduce the conservativeness. The obtained stability conditions are formulated as LMIs. Last, the advantages and effectiveness of the theoretical results are illustrated by numerical example.

Keywords

Lyapunov methods; continuous time systems; delays; fuzzy systems; linear matrix inequalities; nonlinear systems; stability; LMI; QCLKF; T-S fuzzy modeling; conservativeness; continuous-time positive nonlinear systems; delay; fuzzy positive systems; high order relaxation; quadratic copositive Lyapunov-Krasovskii functions; stability analysis; stability conditions; sufficient condition; time derivative; Delays; Fuzzy systems; Nonlinear systems; Numerical stability; Quantum cascade lasers; Stability analysis; Symmetric matrices; Positive nonlinear systems; Quadratic copositive Lyapunov-Krasovskii function; Stability Analysis; T-S fuzzy system; Time-Delays;

fLanguage

English

Publisher

ieee

Conference_Titel

Mechatronics and Control (ICMC), 2014 International Conference on

Print_ISBN

978-1-4799-2537-7

Type

conf

DOI

10.1109/ICMC.2014.7231739

Filename

7231739