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

Abstract

This paper investigates the problem ofH∞control for continuous-time singular Marko-vian jump systems in the event-triggered framework. Different from the traditionalevent-triggered control systems, we introduce a dynamic event-triggered mechanismto monitor the data transmission from system plant to controller, which can lead to asmaller amount of data transmission and thus a higher efficiency of the communicationresource. A positive lower bound on the inter-event intervals is proved to exist, whichimplies the exclusion of the Zeno behaviour. Based on this, sufficient conditions areobtained to ensure that the closed-loop system is stochastically admissible with anH∞disturbance attenuation. Then both the state feedback controller and the dynamicevent-triggered mechanism are designed based on the analysis result. The dynamicevent-triggered control is also extended to the system with network-induced delaysdue to the inevitability of time delay in practical transmission. Finally, two examples areprovided to demonstrate the effectiveness and superiority of the proposed new designscheme.