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Aperiodic sampled‐data controller design for stochastic Markovian jump systems and its application
Author(s) -
Yang Te,
Wang Zhen,
Huang Xia,
Xia Jianwei,
Chen Guoliang
Publication year - 2021
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.5654
Subject(s) - aperiodic graph , control theory (sociology) , controller (irrigation) , lyapunov function , mathematics , mode (computer interface) , stability (learning theory) , upper and lower bounds , jump , loop (graph theory) , lyapunov stability , computer science , control (management) , nonlinear system , physics , machine learning , agronomy , biology , operating system , mathematical analysis , combinatorics , artificial intelligence , quantum mechanics
In this paper, aperiodic sampled‐data controller design problem is solved for stochastic Markovian jump systems (SMJSs). By introducing mode‐dependent one‐sided loop‐based Lyapunov functional and mode‐dependent two‐sided loop‐based Lyapunov functional and using Itô formula, two different stochastic stability conditions for SMJSs under aperiodic sampled‐data control are presented, respectively. Based on these two stability conditions, corresponding mode‐dependent aperiodic sampled‐data controller is designed for SMJSs. Finally, practical aircraft model are applied to illustrate the effectiveness of the method. It is also shown that mode‐dependent two‐sided loop‐based Lyapunov functional can obtain a larger upper bound of the sampling interval than mode‐dependent one‐sided loop‐based Lyapunov functional.