Adaptive neural decentralised control for switched interconnected nonlinear systems with backlash-like hysteresis and output constraints

Abstract

This paper considers the issue of adaptive neural decentralised tracking control for a class of output-constraint switched interconnected nonlinear systems with unknown backlash-like hysteresis control input. First, neural networks (NNs) are applied to approximate unknown nonlinear functions, and an NNs switched state observer is designed to estimate unmeasured system states. Then, the dynamic surface control technique is used to avoid the influence of explosion of complexity. In addition, the problem of output constraints is solved by introducing the barrier Lyapunov functions. Based on the Lyapunov stability theory, all signals in the switched closed-loop system can be verified to be uniformly ultimately bounded under the proposed control method. Moreover, the system output can track the target trajectory well within a small bounded error. Finally, a numerical simulation result is given to illustrate the effectiveness of the adaptive decentralised control scheme.

Keywords:

• Switched interconnected nonlinear systems
• adaptive neural decentralised control
• dynamic surface control
• output constraints
• backlash-like hysteresis

Acknowledgements

The authors gratefully acknowledge anonymous editors and reviewers.

Data availability statement

Due to the nature of this research, participants of this study did not agree for their data to be shared publicly, so supporting data is not available.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This research was supported by the Eduction Committee Liaoning Province of China under Grant Number LJ2019002.

Notes on contributors

Yanwei Zhao

Yanwei Zhao was born in Liaoning Province, China, in 1998. He received the B.S. degree in electronic information engineering from Bohai University, Jinzhou, China, in 2020, where he is currently working toward the M.S. degree in control science and engineering. His research interests include adaptive control and interconnected systems.

Haoyan Zhang

Haoyan Zhang was born in Liaoning Province, China, in 1995. He received the B.S. degree in electronic information engineering from Bohai University, Jinzhou, China, in 2018, where he is currently working toward the M.S. degree in control science and engineering. His research interests include switched systems and adaptive control.

Zhongyu Chen

Zhongyu Chen born in Liaoning Province, China, in 1996. He received the B.S. degree in communication engineering from Bohai University, Jinzhou, China, in 2018, where he is currently working toward the M.S. degree in control science and engineering. His research interests include event-triggered control and nonlinear systems.

Huanqing Wang

Huanqing Wang received the B.Sc. degree in mathematics from Bohai University, Jinzhou, China, in 2003, the M.Sc. degree in mathematics from Inner Mongolia University, Huhhot, China, in 2006, and the Ph.D. degree from the Institute of Complexity Science, Qingdao University, Qingdao, China, in 2013. He was a Post-Doctoral Fellow with the Department of Electrical Engineering, Lakehead University, Thunder Bay, ON Canada, in 2014. He is currently a Post-Doctoral Fellow with the Department of Systems and Computer Engineering, Carleton University, Ottawa, ON Canada. He has authored or co-authored over 30 papers in top international journals. His current research interests include adaptive backstepping control, fuzzy control, neural networks control, stochastic nonlinear systems.

Xudong Zhao

Xudong Zhao received the B.S. degree in automation from the Harbin Institute of Technology, Harbin, China, in 2005, and the Ph.D. degree in control science and engineering, Space Control and Inertial Technology Center, Harbin Institute of Technology, Harbin, in 2010. He was a Lecturer and an Associate Professor with the China University of Petroleum, Beijing, China. Since 2013, he has been with Bohai University, Jinzhou, China, as a Professor. In 2014, he was a Postdoctoral Fellow with the Department of Mechanical Engineering, University of Hong Kong, Hong Kong. Since 2016, he has been with the Dalian University of Technology, Dalian, China, where he is currently a Professor. His research interests include control of aero engine, hybrid systems, positive systems, multiagent systems, fuzzy systems, and their applications.