Simulated annealing algorithm-assisted asynchronous control for networked Markov jump systems under DoS attacks

This research addresses the observer-based asynchronous controller design problem for Markov jump systems (MJSs) under denial-of-service (DoS) attacks by using a simulated annealing algorithm (SAA).The concept of limited attack energy is adopted to describe the characteristics of non-periodic DoS attacks. An observer is introduced to measure the system modes for better control performance and a hidden Markov model (HMM) is constructed to address the mode asynchrony issues that may arise in practical scenarios. The \(H_{\infty }\) $H_{\infty }$ indicator is introduced to reflect the resistance of the designed observer-based asynchronous controller to external disturbances. After obtaining a set of nonlinear conditions using Lyapunov function techniques, an SAA is employed to assist in solving, ensuring that the obtained gain coefficients enable the designed observer-based asynchronous controller to achieve globally optimal performance.