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Stability and stabilization of singular Markovian jump systems by dynamic event-triggered control strategy

Journal Article


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.

Publication Date


  • 2020

Citation


  • Guan, C., Fei, Z., Feng, Z., & Shi, P. (2020). Stability and stabilization of singular Markovian jump systems by dynamic event-triggered control strategy. Nonlinear Analysis: Hybrid Systems, 38. doi:10.1016/j.nahs.2020.100943

Scopus Eid


  • 2-s2.0-85088898667

Web Of Science Accession Number


Volume


  • 38

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.

Publication Date


  • 2020

Citation


  • Guan, C., Fei, Z., Feng, Z., & Shi, P. (2020). Stability and stabilization of singular Markovian jump systems by dynamic event-triggered control strategy. Nonlinear Analysis: Hybrid Systems, 38. doi:10.1016/j.nahs.2020.100943

Scopus Eid


  • 2-s2.0-85088898667

Web Of Science Accession Number


Volume


  • 38