Asynchronous Event-Triggered H∞ Control for Continuous-Time Markov Jump Systems

Abstract

The objective of this letter is to address the event-based ${H}_{\infty }$ control problem for continuous-time hidden Markov jump systems. A continuous-time hidden Markov model is introduced where parameters can be tuned to fully describe the asynchronous phenomenon between the controller and system modes. To reduce the communication load on the network, an event-triggered scheme is integrated into the design of the asynchronous controller. By employing the Lyapunov-Krasoviskii functional approach, sufficient conditions are derived for constructing an event-based mode-dependent controller that ensures ${H}_{\infty }$ performance for the closed-loop system under event-triggered scheme. Finally, to substantiate the effectiveness of the proposed results and to demonstrate its potential application in real-world systems, a tunnel diode circuit model is introduced.