Membership-function-dependent memory controller design for interval type-2 fuzzy systems under fading channels

Abstract

This paper studies the problem of membership-function-dependent memory output feedback (MOF) controller design for interval type-2 (IT2) fuzzy systems under fading channels. A time-varying stochastic process is introduced to model the unpredictable channel fading phenomenon. Taking the impact of channel fading into consideration, a non-parallel distribution compensation (non-PDC) strategy is employed to construct a class of memory output feedback fuzzy controllers. By fully exploiting the membership functions, the membership-function-dependent performance analysis and controller synthesis results have been obtained, such that the closed-loop system can be guaranteed with mean-square exponential stability and $H_{\mathrm{\infty }}$ performance γ. Finally, simulation studies have been presented to demonstrate the effectiveness of the proposed approach.

Keywords:

• Interval type-2 fuzzy systems
• membership-function-dependent control
• fading channel
• memory output-feedback control

Disclosure statement

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

Data availability statement

The data and materials that support the results or analyses presented in this paper are freely available from the corresponding author upon request.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [grant numbers 62003139, 62103146, 62073143, 62173146], the Natural Science Foundation of Shanghai [grant numbers 20ZR1415200, 22ZR1416200], China Postdoctoral Science Foundation [grant numbers 2020TQ0096, 2021M690056].

Notes on contributors

Sen Kong

Sen Kong received the B.Eng. degree in Automation from Henan University at Kaifeng, Henan, China, in 2011. He is currently pursuing the M.Eng. degree in control science and engineering with the East China University of Science and Technology, Shanghai, China. His current research interests include fuzzy control systems and networked control systems.

Meng Wang

Meng Wang received the B.Eng. degree in Automation from Northeastern University at Qinhuangdao, Qinhuangdao, China, in 2011, and the M.Eng. degree in Control Science and Engineering from Harbin Institute of Technology, Harbin, China, in 2013, and the Ph.D. degree in the Department of Mechanical and Biomedical Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, China, in 2018. He is currently an Associate Professor with School of Information Science and Engineering, East China University of Science and Technology, Shanghai, China. His research interests include robust control and filtering, fuzzy systems and control, and their engineering applications.

Huaicheng Yan

Huaicheng Yan received his B.Sc. degree in automatic control from Wuhan University of Technology, China, in 2001, and the Ph.D. degree in control theory and control engineering from Huazhong University of Science and Technology, China, in 2007. In 2011, he was a Research Fellow with the University of Hong Kong, Hong Kong, for three months, and also a Research Fellow with the City University of Hong Kong, Hong Kong, in 2012, for six months. Currently, he is a Professor with the School of Information Science and Engineering, East China University of Science and Technology, Shanghai, China. He is an associate editor for International Journal of Robotics and Automation and IEEE Open Journal of Circuits and Systems. His research interests include networked control systems, multi-agent systems and robotics.

Yongxiao Tian

Yongxiao Tian received the M.S. degree in mathematics from Zhejiang Normal University, Zhejiang, China, in 2016. He is currently pursuing the Ph.D. degree in control science and engineering with the East China University of Science and Technology, Shanghai, China. His current research interests include stochastic systems and networked control systems.

Zhichen Li

Zhichen Li received the B.S. degree in automation and the Ph.D. degree in pattern recognition and intelligent systems from North China Electric Power University, Beijing, China, in 2011 and 2017, respectively. From 2017 to 2019, he was a Postdoctoral Fellow with the School of Information Science and Engineering, East China University of Science and Technology, Shanghai, China, where he is currently an Associate Professor. His research interests include networked control systems, active disturbance rejection control, robots, and fuzzy modeling and control.