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Dissipative control for nonlinear Markovian jump systems with mixed time‐delays: The discrete‐time case
Author(s) -
Ma Lifeng,
Fang Xiaoli,
Yuan Yuan,
Zhang Jie,
Bo Yuming
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.4906
Subject(s) - control theory (sociology) , discrete time and continuous time , dissipative system , nonlinear system , controller (irrigation) , correctness , stability (learning theory) , state (computer science) , full state feedback , lyapunov function , mathematics , computer science , jump , control (management) , algorithm , physics , statistics , quantum mechanics , artificial intelligence , machine learning , agronomy , biology
Summary This article is concerned with the dissipative control problem for discrete‐time nonlinear Markovian jump systems subject to both discrete and distributed time‐delays. The purpose is to design a state feedback controller that is capable of guaranteeing the required closed‐loop stability and dissipativity performances simultaneously. By resorting to Lyapunov functional methodology and completing square technique, sufficient conditions are established for the existence of the desired state feedback controller in terms of certain Hamilton‐Jacobi inequalities (HJIs). Within the provided framework, the required controller parameters can be obtained by solving the corresponding HJIs. Finally, two numerical simulation examples are presented to demonstrate the correctness and effectiveness of the developed control paradigm.