Multi-input sliding mode control of a class of uncertain nonlinear systems

Author

Bartolini, Giorgio ; Ferra, Antonella

Author_Institution

Istituto di Elettrotecnica, Cagliari Univ., Italy

Volume

41

Issue

11

fYear

1996

fDate

11/1/1996 12:00:00 AM

Firstpage

1662

Lastpage

1666

Abstract

An effective way to extend to the multi-input case the variable structure control philosophy is 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. Yet, some problems arise when uncertainties are present in certain matrices characterizing the controlled systems. In this paper, conditions are identified under which, even in the presence of uncertainty, the convergence to the sliding manifold is ensured via the application of a multi-input control strategy still based on a simplex of control vectors

Keywords

control system analysis; convergence; nonlinear systems; state-space methods; uncertain systems; variable structure systems; convergence; differential equation; multiple input sliding mode control; simplex; sliding manifold; uncertain nonlinear systems; variable structure control; Control systems; Convergence; Differential equations; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Sliding mode control; Uncertain systems; Uncertainty; Vectors;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.544004

Filename

544004