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Robust finite‐time control and estimation for uncertain time‐delayed switched systems by observer‐based sliding mode technique
Author(s) -
Nie Rong,
Ai Qilong,
He Shuping,
Yan Zhiguo,
Luan Xiaoli,
Liu Fei
Publication year - 2020
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.2586
Subject(s) - control theory (sociology) , dwell time , observer (physics) , sliding mode control , lyapunov function , state observer , lemma (botany) , mode (computer interface) , mathematics , computer science , control (management) , nonlinear system , artificial intelligence , clinical psychology , medicine , ecology , physics , poaceae , quantum mechanics , biology , operating system
Summary This article investigates the robust estimation and observer‐based finite time sliding mode control problems for a class of switched systems with time‐delays and uncertainties. For the studied system model, a common sliding surface related to the estimated states is initially constructed. Then, a suitable sliding mode control law is designed to ensure the accessibility of sliding surface. By selecting the appropriate Lyapunov function and using the average dwell time method and the partition strategy lemma, sufficient conditions of finite time boundedness of system are given. The observer gain is obtained by solving a couple of linear matrix inequalities. Finally, a practical water quality control system is given to show the effectiveness of the design methods.