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Robust Finite‐Time Control for Linear Time‐Varying Delay Systems With Bounded Control
Author(s) -
Niamsup P.,
Phat V. N.
Publication year - 2016
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1282
Subject(s) - bounding overwatch , control theory (sociology) , bounded function , linear matrix inequality , mathematics , matlab , control (management) , robust control , lyapunov function , computer science , control system , mathematical optimization , nonlinear system , engineering , mathematical analysis , physics , quantum mechanics , artificial intelligence , electrical engineering , operating system
This paper develops a novel finite‐time control design for linear systems subject to time‐varying delay and bounded control. Based on the Lyapunov‐like functional method and using a result on bounding estimation of integral inequality, we provide some sufficient conditions for designing state feedback controllers that guarantee the robust finite‐time stabilization with guaranteed cost control. The conditions are obtained in terms of linear matrix inequalities (LMIs), which can be determined by utilizing the MATLAB LMI Control Toolbox. A numerical example is given to show the effectiveness of the proposed method.