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Hidden Markov model‐based ℋ ∞ control for networked fuzzy Markov jump systems against randomly occurring multichannel attacks
Author(s) -
Huo Shicheng,
Li Feng
Publication year - 2020
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5363
Subject(s) - control theory (sociology) , bernoulli's principle , computer science , hidden markov model , variable order markov model , markov model , correctness , controller (irrigation) , markov chain , lyapunov function , fuzzy logic , markov process , fuzzy control system , asynchronous communication , nonlinear system , mathematics , algorithm , control (management) , artificial intelligence , machine learning , engineering , statistics , agronomy , physics , quantum mechanics , biology , aerospace engineering , computer network
This paper gives full consideration to the hidden Markov model‐basedℋ ∞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 prescribedℋ ∞performance. In the end, two examples are provided to illuminate the correctness of the devised technique.