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Static output feedback control for discrete‐time hidden Markov jump systems against deception attacks
Author(s) -
Su Lei,
Ye Dan
Publication year - 2019
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.4737
Subject(s) - control theory (sociology) , lyapunov function , asynchronous communication , computer science , controller (irrigation) , discrete time and continuous time , mode (computer interface) , deception , hidden markov model , bounded function , jump , control (management) , mathematics , nonlinear system , artificial intelligence , law , computer network , mathematical analysis , physics , quantum mechanics , political science , agronomy , biology , operating system , statistics
Summary This paper investigates the static output feedback control problem for Markov jump systems subject to asynchronous mode information and deception attacks. A hidden Markov model is employed to observe the unmeasurable system mode. In this case, the asynchronous phenomenon between the controller and the original system is depicted. By using the mode‐dependent Lyapunov function, a sufficient condition is established such that the resulting closed‐loop system is stochastically mean square exponentially ultimately bounded under randomly occurring deception attacks and external disturbance. Based on this condition, the asynchronous static output feedback controller is designed in view of linear matrix inequalities. Finally, the effectiveness and superiority of the presented method are elaborated via a numerical example and a practical example.