Observer based resilient security control for networked nondeterministic Markovian jump systems with cyber attacks and its applications.

This paper investigates the problem of the observer-based resilient event-triggered control for stochastic Markovian jump systems subject to probabilistic cyber attacks, actuator failures, and controller gain variations. The observer is modelled to estimate all state information of the system from measurement outputs, and then the controller is designed using observer states. Besides, probabilistic cyber attacks have a significant negative impact on communication security in networked control systems, potentially leading to a decrease in system stability and performance. To eliminate threats from probabilistic cyber attacks, an event-triggered scheme is considered in the communication between the observer and controller, which also has the advantage of minimising communication resource consumption and alleviating pressure on network bandwidth. Then, an actuator fault model and gain variations of the controller are taken into account simultaneously, which makes the analysis and synthesis more practical. By employing a discontinuous Lyapunov functional, updated stochastic inequality, and improved Wirtinger-based integral inequality, a new set of delay-dependent sufficient conditions is constructed to design the controller such that the proposed systems is stochastically stable. Then, the derived theoretical results are validated by using numerical examples.