Event-Triggered State-Feedback and Dynamic Output-Feedback Control of PMJSs With Intermittent Faults

Abstract

This article proposes the event-triggered state-feedback and dynamic output-feedback control of positive Markovian jump systems with intermittent actuator and sensor faults. An independent Markovian process is used to establish the mathematical model of the intermittent fault. An event-triggering condition based on 1-norm is proposed to implement the event- triggered scheme. An event-triggered state-feedback controller is designed using stochastic copositive Lyapunov functions. By virtue of a matrix decomposition approach, an event-triggered dynamic output-feedback controller is proposed for the systems. Under the designed controllers, the augmented system consisting of the original system and the controller system is positive and stochastic <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$\ell _1$</tex-math></inline-formula> stable. Finally, one example is provided to verify the validity of the proposed design.