Non-fragile H_∞ control for event-triggered networked control systems with probabilistic time-varying delay

ABSTRACT

This paper studies the non-fragile output-feedback $H_{\mathrm{\infty }}$ control problem for event-triggered networked control system with probabilistic time-varying delay and controller gain uncertainties. With known conditional probability distribution, the time-varying delay is modelled as a Bernoulli distributed white sequences. An improved two-side closed-loop functional is constructed by using the sawtooth structure characteristic of artificial time delay. By applying the Lyapunov–Krasovskii stability theory, the lower conservative stability criterions for time-delay system are derived. Aiming at the external disturbance and the parameter uncertainty of controller gain, a non-fragile output-feedback $H_{\mathrm{\infty }}$ control strategy based on event-triggered mechanism is proposed. Moreover, a co-design scheme of controller gain and event-triggered matrix is obtained based on linear matrix inequality technique. Finally, three simulation examples are utilised to verify the effectiveness of the presented method.

KEYWORDS:

• Networked control systems
• event-triggered mechanism
• probabilistic time-varying delay
• non-fragile control

Disclosure statement

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Data availability statement

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

Additional information

Funding

This paper is partially supported by the National Natural Science Foundation of China (Grant Number 61503120), the Natural Science Foundation of Hebei Province (Grant Number F2021209006), the Fostering Talents Foundation of North China University of Science and Technology (Grant Number JP201511), the Project funded by Natural Science Foundation–Steel and Iron Foundation of Hebei Province (Grant Number E2019105123), the Science and Technology Project of Hebei Education Department (Grant Number ZD2019311) and the Tangshan Talent Funding Project (Grant Number A2021110015).