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

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...

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Bibliographic Details
Published in:IET control theory & applications Vol. 14; no. 9; pp. 1158 - 1169
Main Authors: Xie, Xuhuan, Li, Shanbin, Xu, Bugong
Format: Journal Article
Language:English
Published: The Institution of Engineering and Technology 11.06.2020
Subjects:
adaptive event‐triggered control
asymptotic stability
closed loop systems
closed‐loop control system
control system synthesis
convex optimisation algorithm
convex programming
co‐design condition
delay systems
delayed stochastic systems
delays
H∞ control
H∞ disturbance attenuation performance
Lyapunov methods
Lyapunov stability theory
networked control system stability
networked control systems
novel stochastic‐sampling‐based adaptive event‐triggered scheme
probability
Research Article
state feedback
stochastic analysis tool
stochastic systems
stochastic‐sampling‐based AETS
time‐delay systems
convex optimisation algorithm
delay systems
delayed stochastic systems
probability
closed-loop control system
control system synthesis
convex programming
asymptotic stability
networked control system stability
stochastic analysis tool
stochastic-sampling-based AETS
closed loop systems
H∞ control
time-delay systems
delays
stochastic systems
networked control systems
novel stochastic-sampling-based adaptive event-triggered scheme
state feedback
adaptive event-triggered control
co-design condition
Lyapunov stability theory
Lyapunov methods
H∞ disturbance attenuation performance
ISSN:1751-8644, 1751-8652
Online Access:Get full text
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Summary: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 $H_{\infty }$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.
ISSN:1751-8644
1751-8652
DOI:10.1049/iet-cta.2019.0342