Premium
Robust stabilization of a class of uncertain system via block decomposition and VSC
Author(s) -
Loukianov Alexander G.,
CastilloToledo B.,
Dodds Stephen
Publication year - 2002
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.697
Subject(s) - control theory (sociology) , robustness (evolution) , nonlinear system , sliding mode control , lyapunov function , mathematics , robust control , manifold (fluid mechanics) , block (permutation group theory) , computer science , control (management) , engineering , physics , artificial intelligence , mechanical engineering , biochemistry , chemistry , geometry , quantum mechanics , gene
In this paper, a block decomposition procedure for sliding mode control of a class of nonlinear systems with matched and unmatched uncertainties, is proposed. Based on the nonlinear block control principle, a sliding manifold design problem is divided into a number of sub‐problems of lower dimension which can be solved independently. As a result, the nominal parts of the sliding mode dynamics is linearized. A discontinuous feedback is then used to compensate the matched uncertainty. Finally, a step‐by‐step Lyapunov technique and a high gain approach is applied to obtain hierarchical fast motions on the sliding manifolds and to achieve the robustness property of the closed‐loop system motion with respect to unmatched uncertainty. Copyright © 2002 John Wiley & Sons, Ltd.