Adaptive event-triggered fuzzy tracking control of nonlinear systems with dead-zones and unmeasurable states

Abstract

In this paper, the adaptive event-triggered tracking control of uncertain nonlinear systems with dead-zone inputs is developed based on fuzzy approximation technique. Firstly, a robust fuzzy state observer is constructed to effectively estimate all the unmeasurable states. Next, an adaptive output feedback controller with parameter updated law only containing one on-line adjusted variable is designed via the backstepping scheme. Concomitantly, a novel event-triggered condition related to the upper and lower bounds of dead-zone parameters and the decreasing function of tracking errors is given to substantially alleviate the computation load of the communication process. Moreover, the desired closed-loop stability of the resulting systems can be achieved by exploiting Lyapunov function analysis. Finally, simulation results verify the effectiveness of the proposed method.

Keywords:

• Adaptive control
• event-triggered control (ETC)
• fuzzy observer
• uncertain nonlinear systems
• dead-zone inputs

Disclosure statement

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

Additional information

Funding

This work is supported in part by the National Natural Science Foundation of China (Grant Nos. 61673098, 61773221, 61773013, and U173110085), the Natural Science Foundation of Liaoning Province of China (Grant Nos. 20180551190 and 2019-ZD-0280), and the Scientific Research Foundation of Liaoning Educational Committee of China (Grant Nos. 2020LNJC11, 2019LNJC13 and 2019LNJC11).

Notes on contributors

Yu-Han Hu

Yu-Han Hu was born in Zhouzhi, Shaanxi Province, China, in 1975, received the B.S. and M.S. degrees in Computational Mathematics and Application Software from Northwest University, Xi'an, China, in 1999, and in Applied Mathematics from Northeastern University, Shenyang, China, in 2003, respectively, and the Ph.D. degree in Applied Mathematics from Dalian University of Technology, Dalian, China, in 2019. His research interests include stability theory, nonlinear differential equations.

Ling Zhao

Ling Zhao was born in Anshan, Liaoning Province, China, in 1982, received the B.S. degrees in Mechatronic Engineering from Shenyang Aerospace University, China, in 2004, and M.S. degrees in Mechatronic Engineering from Northeastern University, China, in 2008. She is currently an Engineer in Beijing Eternal Research Co., Ltd. Her research interests include adaptive control, fault-tolerant control, and nonlinear control.

Li-Bing Wu

Li-Bing Wu was born in Chaoyang, Liaoning Province, China, in 1980, received the B.S. and M.S. degrees in Mathematics and Applied Mathematics from Jinzhou Normal College, Jinzhou, China, in 2004, and in Basic Mathematics from Northeastern University, Shenyang, China, in 2007, respectively, and the Ph.D. degree in Control Theory and Control Engineering from Northeastern University, Shenyang, China, in 2016. He was a Postdoctoral Fellow with Yeungnam University, Kyongsan, South Korea, from 2018 to 2019. He is currently an Associate Professor with the School of Science, University of Science and Technology Liaoning. His research interests include adaptive control, fault-tolerant control, nonlinear control and fault estimation.

Nan-Nan Zhao

Nan-Nan Zhao received the B.S. and M.S. degrees from Northeastern University and University of Science and Technology Liaoning, China in 1998 and 2003 respectively, and she received Ph.D. degree in intelligent control and expert system from Northeastern University in 2006. She is currently an Associate Professor in the Communication Engineering with University of Science and Technology Liaoning. Her research interests include pattern recognition, nonlinear system control and image processing.

Yu-Jun Zhang

Yu-Jun Zhang was born in Chaoyang, Liaoning Province, China, in 1977, received the B.E. and M.E. degrees in Computer from Anshan Iron and Steel Institute, Anshan, China, in 2001, and in Computer application technology from University of Science and Technology Liaoning, Anshan, China, in 2007, respectively, and the Ph.D. degree in Ferrous Metallurgy from University of Science and Technology Liaoning, Anshan, China, in 2018. He is currently an Associate Professor with the School of Computer Science and Software Engineering, University of Science and Technology Liaoning. His research interests include nonlinear control, adaptive control, and pattern recognition.