Protocol-Based Control for Discrete-Time Positive Markovian Switching Models With Deception Attacks

This brief investigates the problem of protocol-based control for positive Markovian switching models subject to actuator faults and deception attacks. Bernoulli distribution is adopted to depict random deception attacks. Considering the positivity of Markovian switching models, an event-triggered protocol is constructed based on a 1-norm to be related to the error signal and the state signal. In order to handle actuator faults and random cyber attacks, exponentially stochastic stability conditions are established under the event-triggered protocol by developing a linear copositive Lyapunov function approach. Furthermore, a non-fragile control law combined with the event-triggered protocol is proposed such that exponential stochastic stability of the corresponding system is achieved on the basis of matrix decomposition strategy and linear programming. Finally, a data communication network model is provided to demonstrate the effectiveness of the proposed controller design.