Existence of Carathe´odory solutions in nonlinear systems with discontinuous switching feedback controllers

Author

Kim, Seung-Jean ; Ha, In-Joong

Author_Institution

Dept. of Electr. Eng., Stanford Univ., CA, USA

Volume

49

Issue

7

fYear

2004

fDate

7/1/2004 12:00:00 AM

Firstpage

1167

Lastpage

1171

Abstract

In this note, we consider the existence of a Carathe´odory solution in a single-input-single-output nonlinear system with a discontinuous switching feedback controller. The main contribution is to show that if the nonlinear system can be transformed into a global normal form, then we can specify the value of the discontinuous switching feedback controller on the switching hypersurface so that the closed-loop system has a Carathe´odory solution.

Keywords

closed loop systems; feedback; nonlinear control systems; sampled data systems; thermodynamics; time-varying systems; Caratheodory solutions; close-loop systems; differential inclusions; discontinuous switching feedback controllers; nonlinear systems; single-input-single-output systems; variable structure systems; Adaptive control; Control nonlinearities; Control systems; Differential equations; Friction; Mechanical systems; Mechanical variables control; Nonlinear control systems; Nonlinear systems; Variable structure systems; Differential inclusions; existence of solutions; variable structure systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2004.831127

Filename

1310474