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Disturbance‐observer–based control for Markov jump systems with time‐varying delay
Author(s) -
Gao Qian,
Gao Xianwen,
Qi Wenhai
Publication year - 2017
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2367
Subject(s) - control theory (sociology) , disturbance (geology) , observer (physics) , computer science , stability (learning theory) , jump , controller (irrigation) , markov chain , markov process , control (management) , mathematics , physics , quantum mechanics , artificial intelligence , machine learning , agronomy , biology , statistics , paleontology
Summary This paper deals with disturbance‐observer–based control for Markov jump systems with time‐varying delay. A disturbance observer is constructed to estimate the disturbance generated by an exogenous dynamic system. Meantime, a control scheme is proposed to guarantee the corresponding system to be stochastically stable and achieve the purpose of suppressing the corresponding disturbance. By constructing the stochastic Lyapunov‐Krasovskii functional, the desired observer and the controller are designed to ensure stochastic stability of the closed‐loop system. Finally, the simulation results illustrate the effectiveness of the proposed schemes.