Input-output feedback linearization of nonlinear time-delay systems

Author

Martínez, Luis A Márquez ; Moog, Claude H.

Author_Institution

CICESE Res. Center, Ensenada, Mexico

Volume

5

fYear

2003

fDate

9-12 Dec. 2003

Firstpage

4557

Abstract

In this paper, the input-output linearization problem for a class of single-input single-output nonlinear systems with multiple delays in the input and the state is studied. The problem is solved by means of various static or dynamic compensators, including state and output feedback. The mathematical setting is based on so-called Roesser models for this class of systems and on some noncommutative algebraic tools. These are claimed to be the cornerstones for studying nonlinear time delay systems. Necessary and sufficient conditions are given for the existence of a static or pure shift output feedback which solves the input-output linearization problem. Sufficient conditions for the existence of a dynamic state feedback solution are included as well.

Keywords

delay systems; delays; linearisation techniques; nonlinear control systems; state feedback; Roesser models; dynamic compensators; dynamic state feedback; input-output feedback linearization; multiple delays; noncommutative algebraic tools; nonlinear time delay systems; single input single output nonlinear systems; static compensators; Control system synthesis; Delay effects; Delay systems; Helium; Nonlinear dynamical systems; Nonlinear systems; Output feedback; Stability analysis; State feedback; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2003. Proceedings. 42nd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7924-1

Type

conf

DOI

10.1109/CDC.2003.1272273

Filename

1272273