Stability Analysis of Dynamic Heterogeneous Redundant System with Mode Feedback Control

This study deals with the stabilization problem of Dynamic Heterogeneous Redundant system with state and mode feedback control. First, the dynamic of Dynamic Heterogeneous Redundant system is developed by using discrete time-invariant dynamic model and Markouv chain. Then, instead of the time-triggered control algorithm, an event-triggered state feedback control algorithm is proposed. By utilizing the proposed state feedback controller, Dynamic Heterogeneous Redundant system can effectively avoid continuous communication, and hence reduce the attack probability of the attacker. Furthermore, Markov chain is introduced to describe the work mode and a mode feedback control algorithm is developed to control the work mode of the system. Rigorous stability analysis is given by using Lyapunov stability theory. Finally, a numerical simulation is conducted to illustrate the validity of the Dynamic Heterogeneous Redundant mechanism.