Stability of model-based event-triggered control systems: a separation property

ABSTRACT

To save resource of communication, this paper investigates the model-based event-triggered control systems. Two main problems are considered in this paper. One is, for given plant and model, to design event conditions to guarantee the stability of the systems. The other is to consider the effect of the model matrices on the stability. The results show that the closed-loop systems can be asymptotically stabilised with any model matrices in compact sets if the parameters in the event conditions are within the designed ranges. Then, a separation property of model-based event-triggered control is proposed. Namely, the design of the controller gain and the event condition can be separated from the selection of the model matrices. Based on this property, an adaption mechanism is introduced to the model-based event-triggered control systems, which can further improve the sampling performance. Finally, a numerical example is given to show the efficiency and feasibility of the developed results.

KEYWORDS:

• Networked control system
• linear system
• model-based control
• event-triggered control
• separation property

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by National Nature Science Foundation of China [grant number 61573036], [grant number 61174057]; Natural Science Foundation of Beijing [grant number 4112034].

Notes on contributors

Fei Hao

Fei Hao received his M.S. degree in mathematics from Inner Mongolia University and the Ph.D. degree in dynamics and control from Peking University in 1999 and 2002, respectively. From 2002 to 2004, he was a post-doctoral researcher in Center for Systems and Control, Peking University. Since 2004, he has been with the Seventh Research Division, Beihang University. He is currently a professor of Beihang University. His research interests include robust and optimal control, event-triggered control, hybrid systems and networked control systems.

Hao Yu

Hao Yu received his B.S. degree at Beihang University in 2013. Currently he is a doctoral student at the School of Automation and Electrical Engineering, Beihang University. His research interests include hybrid systems and event-triggered control.