Non-fragile hybrid-triggered control of networked positive switched systems with cyber attacks

Abstract Faults of components may deteriorate the system performances and stochastic cyber attacks may destroy the state measurements of systems and obstruct control commands. This paper proposes a non-fragile hybrid-triggered control design for networked positive switched systems to deal with the faults and cyber attacks. Bernoulli distribution is employed for describing cyber attacks. Based on the property of cyber attacks, a hybrid-triggered strategy is introduced. The corresponding hybrid-triggered mechanism consists of time- and event-triggered schemes. The event-triggering condition is established in a linear form. By combining a matrix decomposition approach and switched co-positive Lyapunov functions, a non-fragile hybrid-triggered controller is designed for positive switched systems with actuator faults. Then, a stochastic hybrid control strategy is used for the systems subject to stochastic cyber attacks. Under the hybrid-triggered controller, the systems can resist the risk from the attacks and actuator faults. Meanwhile, the risk of communication congestion from the limited bandwidth is reduced by virtue of the hybrid-triggered control strategy. All the presented conditions can be solved via linear programming. Finally, two examples are given to verify the effectiveness of the designed controller.