Co-Design of Event-Triggered Scheme and H_∞ Output Control for Markov Jump Systems Against Deception Attacks

Abstract

This paper is concerned with the co-design problem of event-triggered scheme and H static output control of linear Markov jump systems with deception attacks. To save the previous communication resources, a mode-dependent event-triggered scheme is utilized based on system output. To describe the deception attacks, a random variable satisfying Bernoulli distribution is employed. By using a separation approach, sufficient linear matrix inequality conditions for the existence of event-triggered output controllers that ensure the stochastic stability with prescribed H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> are obtained. Then, a co-design algorithm is proposed to obtain the trade-off between the communication cost and H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> performance. Lastly, the validity of the developed method is verified by a numerical example and a practical single-link robot arm system.