Switching tuning backstepping control of mixed switched nonseparated parameterised nonlinear systems

Abstract

In this paper, a switching tuning backstepping control scheme is proposed to stabilise a class of mixed switched nonseparated parameterised nonlinear systems. First, the mixed arbitrarily switching nonlinear system consists of different structure subsystems. The subsystems contain different nonseparated parameters nonlinearly. Next, an uniform backstepping controller is designed to stabilise the nonlinear subsystems. Then, a unidirectional exploring switching tuning scheme is proposed to inject into the controller to jumping compensate the double uncertainty and unknown online. The main contribution of the paper is that the adaptive backstepping controller with the exploring switching tuning scheme stabilises the mixed arbitrarily switching nonlinear systems. The detailed simulation synthesis is finally given to exhibit the effectiveness of the proposed controller.

Keywords:

• Switching systems
• nonlinear parametrization
• backstepping
• switching
• adaptive

Disclosure statement

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

Additional information

Notes on contributors

Qitian Yin

Qitian Yin was born in Harbin, China, on December 22, 1979. He received the M.S degree in Communication and Information Systems from College of Information and Communication, Harbin Engineering University in 2009. He is pursuing for the Ph.D degree in Control Science and Engineering from Space Control and Inertial Technology Center, Harbin Institute of Technology. He is now a lecturer in the College of Computer Science and Information Engineering, Harbin Normal University. His research interests include adaptive control, chaos control and synchronisation, switched nonlinear systems, intelligent control and their application.

Mao Wang

Mao Wang received the B. Eng. degree in automation from Harbin Institute of Technology, in 1985, and the M. Eng. degree in Harbin Engineering University, in 1988, and the Ph.D. degree in Harbin Institute of Technology, in 1992. He joined Harbin Institute of Technology in 1994, where he is currently a professor. His current research interests include adaptive control, sliding mode control, hybrid systems, and inertial technology. He received Chinese National Defense Prize for his progress in science and technology.

Yougao Fan

Yougao Fan was born in Hubei Province, China, in 1985. He received the B.E. degree in Automation from Harbin Institute of Technology, in 2008, and the M.E. degree in Control Science and Control Engineering from Harbin Institute of Technology, in 2010. He joined Beijing Institute of Spacecraft Environment Engineering in 2010, where he is currently an Engineer. He is pursuing for the Ph.D. degree in Control Science and Control Engineering from Space Control and Inertial Technology Research Center, Harbin Institute of Technology. His current research interests include hybrid systems, 2-D systems, robust control and spacecraft intelligent assembly technology.

Libin Ma

Libin Ma received his B. Eng. degree in automation from Inner Mongolia University of Science and Technology, China, in 2014, and his M.Eng. degree in control science and engineering from Inner Mongolia University of Science and Technology, China, in 2017. He is now pursuing his Ph.D. degree in control science and engineering from Harbin Institute of Technology, China. His current research interests include model reduction, predict control, and their applications.

Xinyu Wang

Xinyu Wang was born in Harbin, China, in 1996. He received the B.S. degree in Food Science from Northeast Agricultural University, Harbin, in 2018, and he is studying for the M.S. degree in College of Light Industry and Food Engineering from Guangxi University, Nanning, China, since 2018 to date. He is currently a master graduate student with Food Processing and Safety in Guangxi University, Nanning, China. His research interest is functional study of food nutrition factors.