Hidden Markov model-based Script capital H infinity control for networked fuzzy Markov jump systems against randomly occurring multichannel attacks

摘要

This paper gives full consideration to the hidden Markov model-based Script capital H infinity 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 Script capital H infinity performance. In the end, two examples are provided to illuminate the correctness of the devised technique.