Hidden Markov model-based control for networked systems under stochastic deception attacks: A new reaching condition method

This paper is concerned with the hidden Markov model (HMM)-based sliding mode control (SMC) problem for uncertain Markovian jump discrete systems (MJDSs) under random deception attacks (DAs). The phenomenon of random DAs is characterized by virtue of the probabilistic delay, where the attack patterns can be adjusted according to the network status. We aim to design the HMM-based SMC strategy via a sliding mode observer such that the stochastic stability can be ensured despite the random DAs and uncertainties. In order to drive the system to approach the sliding surface, a novel reaching condition associated with the attack is proposed. Furthermore, the desired controller is devised with help of the reaching condition above. In the end, a numerical example is given to show the effectiveness of theoretical achievements.