Asynchronous Control for Stochastic Switching Systems and Its Application in Space Robot Manipulator

This paper presents a security asynchronous control strategy for discrete-time hidden semi-Markov jump systems under denial-of-service attacks, where both the transition information of systems and the emission information of estimators are partially unreliable. It is noted that the partially statistical information model brings some difficulties to the stability analysis of systems because of the coupling between the unavailable transition information and emission information. To overcome such problems, a statistical information separation method is introduced to derive easy-to-check criteria in different circumstances. Based on this method, a comprehensive asynchronous controller is designed for denial-of-service attacks and dual unknown probabilistic information, resulting in a less conservative mean-square stability condition via full utilization of the available information. Finally, a practical example of a space robot manipulator is provided to illustrate the effectiveness of our proposed method, and a comparative example is used to investigate the impacts of attacks and multiple unavailable probability situations on system performance.