Stability and stabilization of singular Markovian jump systems by dynamic event-triggered control strategy. (November 2020)

• Record Type: Journal Article
• Authors: Guan, Chaoxu; Fei, Zhongyang; Feng, Zhiguang; Shi, Peng
• Is Part Of: Nonlinear analysis. Volume 38(2020)
• Publication Date: 2020-11
• Subjects: Markovian jump systems -- Singular systems -- Dynamic event-triggered mechanism -- Network-induced delays; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2020.100943
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper investigates the problem of H ∞ control for continuous-time singular Markovian jump systems in the event-triggered framework. Different from the traditional event-triggered control systems, we introduce a dynamic event-triggered mechanism to monitor the data transmission from system plant to controller, which can lead to a smaller amount of data transmission and thus a higher efficiency of the communication resource. A positive lower bound on the inter-event intervals is proved to exist, which implies the exclusion of the Zeno behaviour. Based on this, sufficient conditions are obtained to ensure that the closed-loop system is stochastically admissible with an H ∞ disturbance attenuation. Then both the state feedback controller and the dynamic event-triggered mechanism are designed based on the analysis result. The dynamic event-triggered control is also extended to the system with network-induced delays due to the inevitability of time delay in practical transmission. Finally, two examples are provided to demonstrate the effectiveness and superiority of the proposed new design scheme.