Asynchronous event-triggered H-infinity control for 2D Markov jump systems subject to networked random packet losses

This paper investigates the issue of asynchronous event-triggered control for two-dimensional Markov jump systems subject to networked random packet losses. The asynchronous behavior between the plant and controller is characterized by a hidden Markov model, and the packet loss behavior is described by a Bernoulli stochastic process. To relieve the communication pressure, an event-triggered strategy with independent triggering behavior in the horizontal and vertical directions is given. A sufficient condition is established to ensure stochastic stability and H-infinity performance for the closed-loop system. Then, a method for designing an asynchronous event-triggered controller is developed through eliminating nonlinearities formed by the inverse of Lyapunov matrices. Moreover, based on convex optimization of the H-infinity performance, an algorithm is proposed to find the maximum feasible domain of the event-triggered thresholds. Finally, a Darboux equation with Markov jump properties is applied to verify the effectiveness of the presented design method. (c) 2023 Elsevier B.V. All rights reserved.

Automated summary

This paper investigates the issue of asynchronous event-triggered control for two-dimensional Markov jump systems subject to networked random packet losses. An event-triggered strategy is given to relieve the communication pressure with independent triggering behavior in the horizontal and vertical directions. The paper establishes a sufficient condition to ensure stochastic stability and H-infinity performance and proposes a method for designing an asynchronous event-triggered controller.