Self-triggered sampling control for networked control systems with delays and packets dropout

ABSTRACT

In this paper, a self-triggered sampling (STS) scheme is proposed for a networked control system with delays and packets dropout. Sampling periods are given based on a probability of successful transmission for packets by signal-to-interference-and-noise ratio measured via quality-of-service. The networked control system is described as a switched delta operator system by the STS scheme. Sufficient conditions of stability for the network control system with delays and packets dropout are given with average dwell time in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness and potential for the developed techniques.

Keywords:

• Self-triggered sampling scheme
• networked control system
• delta operator system
• switched system

Acknowledgement

The authors would like to thank the anonymous reviewers for their detailed comments which helped to improve the quality of the paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The work was supported by the National Natural Science Foundation of China (61573301,51605415).

Notes on contributors

Qing Geng

Qing Geng was born in Hebei Province, China, in 1989. She received the B.S. degree in mathematics and applied mathematics from Hebei University of Science and Technology, Shijiazhuang, China, in 2014. She is currently working toward the Ph.D. degree in control science and engineering in Yanshan University. His main research interests actuator saturation, delta operator systems and networked control systems.

Fucai Liu

Fucai Liu was born in 1966. He received the B.S. and M.S. degrees from Northeast Heavy Mechanism Academe in 1989 and 1994, both in Automation Department. He is now an adjunct professor of Automation Department in Electric Engineering Institute at Yanshan University and also an incumbency graduate student of Doctor Degree in Spaceflight Academe, Control Engineering Department in Harbin Institute of Technology. His research interests are fuzzy identification and prediction control, electrical driving and its computer control. He takes part in National Outstanding Youth Fund and Natural Science Fund of Hebei Province at present. He received three awards for Province and City items. More than thirty of his articles were published.

Hongjiu Yang

Hongjiu Yang was born in Hebei Province, China, in 1981. He received the B.S. degree in mathematics and applied mathematics and the M.S. degree in applied mathematics from Hebei University of Science and Technology, Shijiazhuang, China, in 2005 and 2008, respectively. He received the Ph.D. degree in control science and engineering in Beijing Institute of Technology, Beijing, China. He is currently an associate professor with the Department of Automation, Institute of Electrical Engineering, Yanshan University, China. His main research interests include robust control/filter theory, delta operator systems, networked control systems and active disturbance rejection control.