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A CONTROL VECTOR SIMPLEX APPROACH TO VARIABLE STRUCTURE CONTROL OF NONLINEAR SYSTEMS
Author(s) -
Bartolini G.,
Ferrara A.,
Utkin V. I.,
Zolezzi T.
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(199704)7:4<321::aid-rnc280>3.0.co;2-k
Subject(s) - simplex , variable structure control , affine transformation , nonlinear system , extension (predicate logic) , convergence (economics) , control theory (sociology) , variable (mathematics) , control (management) , set (abstract data type) , mathematics , computer science , mathematical optimization , sliding mode control , artificial intelligence , pure mathematics , mathematical analysis , combinatorics , quantum mechanics , physics , economics , programming language , economic growth
An effective way to extend to the multi‐input case the variable structure control philosophy is the method based on a set of m +1 control vectors forming a simplex in ℛ m , and on the corresponding switching of the controlled system from one to another of m +1 different structures. In this paper, the basic method is briefly recalled and conditions for the possible extension of its validity to the case of uncertain nonlinear systems affine in the control law are sought. The possibility of guaranteeing the convergence of the simplex method also in the case of nonlinear systems non‐affine in the control law is investigated. © 1997 by John Wiley & Sons, Ltd.