Robust block decomposition sliding mode control design
Author(s) -
Alexander G. Loukianov
Publication year - 2002
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1080/10241230306732
Subject(s) - block (permutation group theory) , control theory (sociology) , decomposition , sliding mode control , mode (computer interface) , control (management) , computer science , mathematics , artificial intelligence , chemistry , physics , nonlinear system , combinatorics , quantum mechanics , operating system , organic chemistry
The paper examines the problem of sliding mode manifold design for uncertain nonlinear system with discontinuous control. The original plant first is decomposed such that the problem is divided into a number of simpler sub-problems. Then the block control recursive procedure is presented in which nonlinear sliding manifold is derived. Finally combined high gain and Lyapunov functions techniques are applied to establish hierarchy of the control gains and to estimate the upper bounds of the sliding mode equation solutions
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