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Optimal control approach for discontinuous dynamical systems
Author(s) -
Noori Skandari M. H.,
Ghaznavi M.
Publication year - 2017
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.2306
Subject(s) - discontinuity (linguistics) , smoothing , dynamical systems theory , work (physics) , class (philosophy) , computer science , mathematics , sign (mathematics) , classification of discontinuities , function (biology) , mathematical optimization , optimal control , control theory (sociology) , control (management) , mathematical analysis , physics , artificial intelligence , quantum mechanics , evolutionary biology , biology , computer vision , thermodynamics
Summary In this work, we consider a wide class of discontinuous dynamical systems, discontinuity of which is based on the sign (for short s g n ) function. We propose a smooth optimal control problem to solve the main discontinuous system. By solving some numerical examples in mechanical engineering, we show the efficiency of our approach with respect to 2 smoothing methods for discontinuous systems.