Hidden Markov model‐based control for networked fuzzy Markov jump systems against randomly occurring multichannel attacks
Shicheng Huo, Feng Li · International Journal of Robust and Nonlinear Control · 2020
Abstract This paper gives full consideration to the hidden Markov model‐based control problem for nonlinear Markov jump systems under multichannel random attacks via Takagi–Sugeno fuzzy model. The system state is transmitted to controller through the multiple channels in which each channel obtains transmission permission based on a dispatcher and suffers from random attacks described by the Bernoulli variables. The hidden Markov model is utilized to describe the asynchronous mode phenomenon between controller and system. By choosing a compatible Lyapunov function, some sufficient conditions are developed to achieve stochastic stability of the closed‐loop system with a prescribed performance. In the end, two examples are provided to illuminate the correctness of the devised technique.