Robust mixed performance of uncertain switched systems with random time-varying delay

ABSTRACT

In this paper, the robust mixed $H_2$/$H_{\mathrm{\infty }}$ performance analysis of uncertain switched systems with linear fractional perturbations and random time-varying delay via a switching signal selection is considered. Some delay-dependent LMI-based criteria are proposed to achieve the design of switching signal. Our approach is proposed to guarantee the performance of system under consideration by Wirtinger-based inequality. Finally, two numerical examples are illustrated to show the main results.

KEYWORDS:

• Mixed $H_2$/$H_{\mathrm{\infty }}$ performance
• switched system
• switching signal
• random time-varying delay

Acknowledgements

The authors would like to thank the editor and anonymous reviewers for their helpful comments.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The research reported here was supported by the Ministry of Science and Technology Taiwan, R.O.C. under grant nos. MOST 106-2221-E-022-006 and MOST 107-2221-E-992-089.

Notes on contributors

Chang-Hua Lien

Chang-Hua Lien was born in Yunlin, Taiwan, R.O.C., in 1969. He received the B.S. degree in 1993 and Ph.D. degree in 1998 from National Taiwan Ocean University and National Sun Yat-Sen University, respectively. From 2000 to 2001 and 2001 to 2006, he was with Department of Electrical Engineering, Tung-Fang Institute of Technology and I-Shou University, respectively. In 2006, he joined the Department of Marine Engineering, National Kaohsiung Marine University, Taiwan, where he is currently a Full Professor and Dean of Maritime College of National Kaohsiung University of Science and Technology. His main research interests include fuzzy control theory, neural networks, robust control, and time-delay systems.

Ker-Wei Yu

Ker-Wei Yu was born in Pingtung, Taiwan, R.O.C., in 1965. He received the M.S. degree in marine engineering from the National Taiwan Ocean University, Keelung, Taiwan, R.O.C., in 1991 and the Ph.D. degree in electrical engineering from the National Sun Yat-Sen University, Kaohsiung, Taiwan, R.O.C., in 1999. Since August 2000, he had been with the National Kaohsiung Marine University, Kaohsiung, Taiwan, R.O.C., where he is currently a Full Professor of Department of Marine Engineering and vice president of National Kaohsiung University of Science and Technology. He won the Under-Water Technical Award in 2005 from the Chinese Ocean & Underwater Technology Association. His current research interests are in the areas of fuzzy systems, neural networks, intelligent control, and ship maneuvering control. Dr. Yu is a member of the IEEE Automatic Control Society. He is also a member of Chinese Automatic Control Society.

Hao-Chin Chang

Hao-Chin Chang was born in Kaohsiung, Taiwan, R.O.C., in 1987. He received the B. Sc. and M. Sc. degrees in marine engineering from National Kaohsiung Marine University, Taiwan, China in 2009 and 2011, respectively. He received Ph. D. degree from the Institute of Engineering Science and Technology, National Kaohsiung First University of Science and Technology, Taiwan, China in 2015. His research interests include artificial intelligence and applications of multi-objective optimisation genetic algorithms.