Asynchronous Stabilization for Discrete Hidden Semi-Markov Jumping Power Models With Cyber Attacks

This brief concerns the asynchronous stabilization for discrete hidden semi-Markov jumping power models subject to cyber attacks. Owing to a mode mismatch between the original system and control law in the operating process, a hidden semi-Markov model strategy is proposed to describe this asynchronous phenomenon. Based on the emission probability information, a developed controller is constructed to depend on the observed mode rather than the system mode. Next, with the aid of the stochastic Lyapunov function, new techniques are developed for
$\sigma $
-error mean square stability under the framework of random deception attacks. Furthermore, an observed-mode-dependent controller is presented on the basis of standard matrix inequality. Finally, an example is given to illustrate the effectiveness of the control scheme.