Open AccessObserver-based Finite-time Boundedness of Itô Stochastic Markov Jump Systems with Time-varying Delay
Author(s) -
Xiao Liu,
Ningzhe Liu,
Yan Li
Publication year - 2022
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2216/1/012084
Subject(s) - observer (physics) , control theory (sociology) , jump , mathematics , controller (irrigation) , markov chain , state observer , state (computer science) , computer science , control (management) , nonlinear system , algorithm , statistics , artificial intelligence , agronomy , biology , physics , quantum mechanics
This paper is concerned about the problem of observer-based finite-time boundedness (OBFTB) of Itô stochastic Markov jump systems (MJSs) with external disturbances and time-varying delay. To begin, an observer-based controller (OBC) is constructed to assure finite-time boundedness (FTB) of the closed-loop system. Then, using linear matrix inequalities (LMIs), the state feedback gains and observer gains are calculated. Eventually, a numerical example is provided to demonstrate the value of the obtained results.