Premium
Adjustment of high‐order sliding‐mode controllers
Author(s) -
Levant Arie,
Michael Alon
Publication year - 2009
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.1397
Subject(s) - control theory (sociology) , regularization (linguistics) , convergence (economics) , homogeneity (statistics) , computer science , sliding mode control , first order , mode (computer interface) , mathematics , mathematical optimization , nonlinear system , control (management) , artificial intelligence , physics , economics , quantum mechanics , machine learning , economic growth , operating system
Long‐lasting problems of high‐order sliding‐mode (HOSM) design are solved. Only local uncertainty suppression was previously obtained in the case when the dynamic system uncertainties are unbounded. This restriction is removed in this paper. A universal method is proposed for the proper controller parameter adjustment based on the homogeneity approach. The method allows making the finite‐time convergence arbitrarily fast or slow. In addition, a HOSM regularization procedure is proposed diminishing chattering. Computer simulation confirms the theoretical results. Copyright © 2008 John Wiley & Sons, Ltd.