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Two‐time scale sliding‐mode control for a class of nonlinear systems
Author(s) -
AlvarezGallegos Jaime,
SilvaNavarro Gerardo
Publication year - 1997
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/(sici)1099-1239(199709)7:9<865::aid-rnc240>3.0.co;2-0
Subject(s) - control theory (sociology) , sliding mode control , nonlinear system , class (philosophy) , mode (computer interface) , stability (learning theory) , exponential stability , variable structure control , scale (ratio) , computer science , mathematics , control (management) , physics , quantum mechanics , artificial intelligence , machine learning , operating system
The paper deals with the robust asymptotic stabilization of a class of nonlinear singularly perturbed systems using sliding‐mode control techniques. The approach consists of decomposing the original system into two reduced order systems, for which stabilizing sliding‐mode controllers are applied and combined in a two‐time scale sliding‐mode control for the full order system. A stability analysis allows us to provide sufficient conditions for the asymptotic stability of the full order closed‐loop system. An example illustrates the design procedure and performance of the proposed control scheme. © 1997 by John Wiley & Sons, Ltd.