Extended dissipativity analysis of singular Takagi–Sugeno fuzzy systems with time delay via two improved techniques

Abstract

This paper is concerned with the problem of the extended dissipativity analysis for singular Takagi–Sugeno (T–S) fuzzy system with time delay. By proposing two improved techniques, a sufficient criterion is derived in terms of linear matrix inequalities (LMIs), which ensures the considered system is admissible and extended dissipative. Compared with some existing works, an unnecessary constraint on Lyapunov matrix is relaxed. A numerical example is illustrated to show the effectiveness of the proposed result.

Keywords:

• Extended dissipativity
• singular system
• T–S fuzzy system
• integral inequality
• time delay

Acknowledgments

The authors would like to thank the editors and the referees for carefully reading the paper and for their comments which have helped to greatly improve the paper.

Disclosure statement

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

Additional information

Funding

This work was supported in part by the National Natural Science Foundation of China [grant numbers 61973070, 61433004 and 61627809], the Liaoning Revitalization Talents Program [grant number XLYC1802010] and in part by SAPI Fundamental Research Funds [grant number 2018ZCX22].

Notes on contributors

Yufeng Tian

Yufeng Tian received the B.Sc. degree in Mathematics from Northeastern University, ShenYang, China, in 2016, the M.Sc degree in System theory from Northeastern University, ShenYang, China, in 2018. He is now pursuing the Ph.D. degree in Control theory and control engineering from Northeastern University, Shenyang, China. His research interests include neural networks, fuzzy system, Markov jump system, stability analysis, control and filtering design.

Zhanshan Wang

Zhanshan Wang received the B.S. degrees in industry electric automation from Baotou Iron and Steel Institute (now Inner Mongolia University of Science & Technology), Baotou, China, in 1994, and received the M.S. degree in control theory and control engineering from Fushun Petroleum Institute (now Liaoning Shihua University), Fushun, China, in 2001. He received the Ph.D. degree in control theory and control engineering from Northeastern University, Shenyang, China, in 2006. He was an assistant engineer in Fushun Steel Plant from 1994 to 1998. He taught at Shenyang Institute of Technology (now Shenyang Ligong University) from 2001 to 2007, where he was promoted to assistant professor and lecturer, respectively. He joined the Northeastern University as an associate professor in 2007. He has authored or coauthored over 100 journal and conference papers and five monographs. He holds ten patents. His research interests include stability theory of dynamical systems with delays, neural networks theory, complex networks, learning control, fault diagnosis, fault tolerant control, intelligent automation and their applications in power systems and smart grid.