Finite‐time adaptive event‐triggered asynchronous state estimation for Markov jump systems with cyber‐attacks

This article considers the issue of finite‐time H∞ asynchronous state estimation for event‐triggered nonlinear Markovian jump systems subject to cyber‐attacks. An adaptive event‐triggered scheme is introduced to cope with the capacity constraint of the networked resources. It is assumed that the transmitted sensor measurements may experience randomly malicious cyber‐attacks. Considering the effect of the adaptive event‐triggered scheme and the occurrence of cyber‐attacks, we establish a new state estimation error system model. Sufficient conditions of the finite‐time boundedness and the H∞ finite‐time boundedness are developed for the augmented system. Then, the design methods of the asynchronous estimator gains are derived, which can ensure the H∞ finite‐time boundedness of the estimation error system. Finally, a numerical example is given to show the effectiveness of the theoretical results.