Asymptotic model matching for nonlinear systems

Author

Benedetto, M. D Di ; Grizzle, J.W.

Author_Institution

Dipartimento di Inf. e Sistemistica, Rome Univ., Italy

Volume

39

Issue

8

fYear

1994

fDate

8/1/1994 12:00:00 AM

Firstpage

1539

Lastpage

1550

Abstract

This paper investigates the problem of designing a compensating control law for a square invertible nonlinear plant so that the response of the closed-loop system asymptotically matches that of a prescribed, driven, nonlinear model. A set of necessary conditions for achieving asymptotic model matching is established. One of these involves the stability properties for subdynamics which are common to every model matching closed loop. These subdynamics, called the “fixed dynamics,” are intrinsically characterized. Based on these results, a new set of sufficient conditions for achieving asymptotic model matching is given. The interrelation between the minimum-phase and vector relative degree properties of a plant and a matchable model are studied

Keywords

closed loop systems; compensation; control system synthesis; nonlinear control systems; stability; asymptotic model matching; closed-loop system; compensating control law; fixed dynamics; necessary conditions; nonlinear systems; square invertible nonlinear plant; sufficient conditions; Asymptotic stability; Control systems; Convergence; Helium; Hydrogen; Linear systems; Nonlinear control systems; Nonlinear systems; Sufficient conditions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.310028

Filename

310028