Control of a group of systems whose communication channels are assigned by a semi-Markov process

ABSTRACT

This technical note is concerned with the problem of medium access constraint for a group of networked systems. The scheduling of each subsystem is defined by a stochastic protocol, which can be modelled by a semi-Makov chain with a time-varying transition probability matrix. The resulting closed-loop nonlinear systems are a semi-Markovian jump system with delay. Sufficient conditions for exponential mean-square stability of the resulting closed-loop systems are derived via a Lyapunov–Krasovskii method. Based on the stability criterion, the controller gain of each subsystem is designed. A simulation example is used to demonstrate the effectiveness of proposed method.

KEYWORDS:

• Networked control systems
• medium access constraint
• stochastic scheduling protocol
• semi-Makov process
• exponentially mean-square stability

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [grant numbers 61273107 and 61573077].

Notes on contributors

Long Zhang

Long Zhang was born in Shenyang, China, in 1989. He received the B.S. degree in measurement and control technology and instrumentation and software engineering from the Dalian Jiaotong University in 2013. He is currently working toward the Ph.D. degree in the School of Control Science and Engineering, Dalian University of Technology, Dalian, China. His research interests include switched systems, reinforcement learning, and networked-based control.

Ge Guo

Ge Guo (M10) was born in Gansu, China, on February 22, 1972. He received the B.S. degree and the PhD degree from Northeastern University, Shenyang, China, in 1994 and 1998, respectively. In 1999 he joined Lanzhou University of Technology, Lanzhou, China, where he was the Director of the Institute of Intelligent Control and Robots and a Professor from July 2004 to May 2005. He then joined Dalian Maritime University, Dalian, China, as a Professor with the Department of Automation. He is now a professor in Northeastern University. From 2009 to 2010 he also held a visiting research position at The Chinese University of Hong Kong, Kowloon, Hong Kong. He has published over 100 journal papers within his areas of interest, which include intelligent transportation systems and cyber-physical systems. Dr. Guo is the Editor-in-Chief of International Journal of Systems, Control and Communications and an Associate Editor of several other journals like Information Sciences and IEEE Intelligent Transportation Systems Magazine. He was an honoree of the New Century Excellent Talents in University, Ministry of Education, China, in 2004 and a nominee for Gansu Top Ten Excellent Youths by the Gansu Provincial Government in 2005. He was the CAA Young Scientist Award winner in 2017.