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A new algorithm for high‐order sliding mode control
Author(s) -
Plestan F.,
Glumineau A.,
Laghrouche S.
Publication year - 2007
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.1234
Subject(s) - sliding mode control , control theory (sociology) , nonlinear system , convergence (economics) , context (archaeology) , bounded function , controller (irrigation) , variable structure control , parametric statistics , manifold (fluid mechanics) , mode (computer interface) , computer science , mathematics , mathematical optimization , engineering , control (management) , artificial intelligence , mechanical engineering , paleontology , mathematical analysis , statistics , physics , quantum mechanics , agronomy , economics , biology , economic growth , operating system
A new robust high‐order sliding mode controller for a class of uncertain minimum‐phase single‐input–single‐output (SISO) nonlinear systems is designed. The high‐order sliding mode problem is formulated in input–output term and is viewed in uncertain linear context by considering uncertain nonlinear functions as bounded non‐structured parametric uncertainties. A sliding manifold is designed in order to ensure finite‐time convergence of sliding variable and its high‐order time derivatives. The control law allows the establishment of an r th‐order sliding mode. This result is extended to multi‐input–multi‐output (MIMO) systems. Copyright © 2007 John Wiley & Sons, Ltd.