Stabilisation of networked control systems under a novel stochastic-sampling-based adaptive event-triggered scheme

Xuhuan Xie; Shanbin Li; Bugong Xu

Stabilisation of networked control systems under a novel stochastic-sampling-based adaptive event-triggered scheme

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Author(s): Xuhuan Xie¹ ; Shanbin Li¹ ; Bugong Xu¹
- Affiliations: 1: School of Automation Science and Engineering , South China University of Technology , Guangzhou 510641 , People's Republic of China
Source: Volume 14, Issue 9, 11 June 2020, p. 1158 – 1169
DOI: 10.1049/iet-cta.2019.0342 , Print ISSN 1751-8644, Online ISSN 1751-8652

Received 28/03/2019, Accepted 25/02/2020, Revised 15/09/2019, Published 02/03/2020

In order to save the usage of system resources and adapt the variation of plant state, this study first proposes a novel stochastic-sampling-based adaptive event-triggered scheme (AETS). Second, in the framework of time-delay systems, the closed-loop control system is modelled as a class of delayed stochastic systems where time-delay is distributed in some intervals with probability. Then, by employing stochastic analysis tool and Lyapunov stability theory, a stability criterion for this class of delayed stochastic systems is established to ensure that the system possesses stochastically asymptotic stability with an $H ∞$ disturbance attenuation performance. Also, a co-design of parameter matrices of the state-feedback controller and the stochastic-sampling-based AETS is implemented. Third, based on the obtained co-design condition, a convex optimisation algorithm for the tradeoffs between disturbance attenuation performance and resource utilisation of the closed-loop control system is further developed. Finally, the effectiveness and feasibility of the proposed control strategy are illustrated by two numerical examples of adaptive event-triggered control for networked control systems under stochastic sampling.

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Stabilisation of networked control systems under a novel stochastic-sampling-based adaptive event-triggered scheme

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