Adaptive Event-Driven Control for Continuous Positive Stochastic Jump Models With Cyber Attacks
Wenhai Qi, Yanjing Yi, Peng Jia Shi, Guangdeng Zong, Zheng‐Guang Wu · IEEE Transactions on Circuits & Systems II Express Briefs · 2023
This brief studies the adaptive event-driven control for continuous positive stochastic semi-Markov jump models in the presence of cyber attacks. To save the limited network resources, an adaptive event-driven mechanism is constructed, in which the communication threshold can be dynamically tuned according to the error and state signals. On the basis of linear co-positive Lyapunov function and gain matrix decomposition, stochastic stability conditions are developed under the framework of deception attacks. Next, the design strategy of adaptive event-driven controller is proposed to guarantee the positivity and stochastic stability of the underlying system in linear programming. Furthermore, by means of a lower bound of inter execution time, it is illustrated that there will be finite triggering within a limited time, resulting in no Zeno phenomenon. Finally, a communication network model is shown to verify the theoretical findings.