Co-design of adaptive event-triggered mechanism and controller for networked control systems with uncertainty and time-varying delay

ABSTRACT

This paper investigates the co-design problem of event-triggered mechanisms and state feedback controllers for networked control systems with parameter uncertainty and network-induced delay. Firstly, to overcome the network bandwidth limitation, an adaptive event-triggered mechanism is used to filter the required sampling signals to reduce the network resource occupancy. Second, establish a unified model subject to event triggering mechanisms, parameter uncertainty, and network delay constraints, and derive the stability conditions of the system for the model by combining Lyapunov stability theory and the linear matrix inequality method. Then, the state feedback controller is designed to satisfy the event-triggering condition and certain robust performance requirements, and an optimisation method is proposed to compromise network resource consumption and control performance. Finally, the effectiveness of the proposed method is verified by a numerical example.

KEYWORDS:

• Networked control systems
• adaptive event-triggered mechanism
• parameter uncertainty
• time-varying delay
• co-design

Disclosure statement

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

Data availability statement

Data sharing is not applicable to this article as no new data were created or analysed in this study.

Additional information

Notes on contributors

Qingxiu Zhao

Qingxiu Zhao was born in 1997. She received a B.S. in electrical engineering and automation from Jiangsu University of Science and Technology in 2020. Now she is a graduate student majoring in Control Science and Engineering at the School of Information Engineering, Henan University of Science and Technology. Her research interest is network control systems based on event-triggered mechanisms.

Shanzhong Liu

Shanzhong Liu is a professor at Henan University of Science and Technology, and the Ph.D. degree from Northwestern Polytechnical University. Her research interests include nonlinear control theory and applications, fuzzy control, neural networks.

Xingyu Zhou

Xingyu Zhou was born in 2000 and graduated from Henan University of Technology in 2021 with a bachelor’s degree in automation. Now he is a graduate student of Control Science and Engineering in School of Information Engineering, Henan University of Science and Technology. His research interest is in network control systems based on event-triggered mechanisms.