Stabilization for discrete-time Markovian jumping LPV systems with cyber attacks

The stabilization problem is studied for discrete-time Markovian jumping linear parameter varying (LPV) systems with cyber attacks. Considering that there exist some difficulties in obtaining all transition probability for practical systems, the discrete-time Markovian model with partially unknown transition probabilities is introduced. Sufficient criterion for mean-square stability is obtained by means of Lyapunov function theory. Then, under the framework of random DoS attacks, the corresponding feedback controller is constructed to realize the mean-square stability of the underlying system. Finally, the feasibility of the proposed method is verified by simulating the turbofan engine model.