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Robust optimal control of time‐delay systems based on Razumikhin theorem
Author(s) -
Chuang ChiaHua,
Lin ChunLiang,
Lin YuChen
Publication year - 2012
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.440
Subject(s) - control theory (sociology) , robustness (evolution) , stability (learning theory) , state (computer science) , lyapunov stability , robust control , optimal control , control (management) , computer science , smith predictor , control system , mathematics , lyapunov function , mathematical optimization , control engineering , engineering , nonlinear system , pid controller , artificial intelligence , algorithm , temperature control , chemistry , biochemistry , quantum mechanics , machine learning , physics , electrical engineering , gene
Abstract This paper presents an optimal control approach for the general robust control design problem of linear time delay systems, which considers parameter uncertainties as well as state delay. It is shown that the robust control problem can be transformed into an optimal control problem with the amouof plant uncertainties involved in the performance index. A stability criterion has been developed under which the uncertain dynamical system can not only achieve stability, but also acquire the guaranteed level of performance for regulation. A suitable linear state feedback control law is also characterized via Lyapunov stability theory to ensure performance robustness of the closed‐loop system. Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society