Adaptive Protocol-Based Control for Nonhomogeneous Stochastic Jump Systems With DoS Attacks and Applications

The issue of adaptive protocol-based control is studied for nonhomogeneous stochastic semi-Markov jump systems with denial-of-service (DoS) attacks. As a result of cyber attacks occurring during networked information transmission, the security controller design for the underlying nonhomogeneous semi-Markov jump systems becomes significantly more complicated. Different from the existing self-triggered strategy, an adaptive self-triggered strategy is proposed to reduce the updating frequency of the controller by adjusting the on-line threshold. The main novelty lies in constructing an appropriate adaptive self-triggered strategy to realize better dynamic performance, overcoming the difficulty caused by DoS attacks. By using the algebraic relationship among transition probability, probability distribution function, and probability density function, the time-varying transition rate is expressed based on the semi-Markov process. According to adaptive self-triggered strategy and DoS attacks, stochastic stability conditions are established. Furthermore, the desired adaptive self-triggered controller gains are derived to realize the stochastic stability for the corresponding system. Finally, the boost converter circuit model is carried out to ensure the feasibility of the proposed theoretical results.