Stabilisation of T-S fuzzy systems with mixed time delays

Abstract

In this paper, the problem of T-S fuzzy systems with mixed time delays is considered. A new Lyapunov function is designed by employing a switching idea, which depends on both integral variables and membership functions. Thus, the information of the time derivative of membership functions can also be used. Compared with the existing results without the information of membership function, the results in this paper are less conservative. Besides, the requirement of positive qualitative of match matrix in the Lyapunov function is also relaxed. Then, a switching controller is designed to guarantee the stability of the closed-loop system. At last, two examples are given to illustrate the feasibility and validity of the design and analysis.

Keywords:

• Mixed time delays
• membership-dependent Lyapunov functions
• switching control
• T-S fuzzy models

Acknowledgements

This work is partially supported by Postgraduate Research & Practice Innovation Program of Jiangsu Province under Grant No. KYCX19-0299.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is partially supported by Postgraduate Research & Practice Innovation Program of Jiangsu Province under Grant No. KYCX19_0299.

Notes on contributors

Mingchu Xu

Mingchu Xu was born in 1994. She is now a doctoral student of School of Automation, Nanjing University of Science and Technology. Her research interests include fuzzy control and nonlinear control.

Zhen Xu

Zhen Xu was born in 1994. He is a Ph.D candidate in School of Automation, Nanjing University of Science and Technology. His research interests include the control and path planning of multi-agent system.