Parameter convergence of a new class of adaptive controllers

Author

Zhang, Youping ; Ioannou, Petros A. ; Chien, Cheng-Chih

Author_Institution

Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA

Volume

41

Issue

10

fYear

1996

fDate

10/1/1996 12:00:00 AM

Firstpage

1489

Lastpage

1493

Abstract

A new class of adaptive control schemes for minimum-phase linear time invariant (LTI) systems has recently been developed using nonlinear design techniques which guarantee improved transient performance in addition to closed-loop stability and asymptotic tracking. In this paper we establish the parameter convergence properties of this new class of schemes in the presence of persistently exciting signals and compare them with the properties of the traditional adaptive controllers. We show that the new class of adaptive controllers has stronger parameter convergence properties in the presence of overparameterization

Keywords

adaptive control; asymptotic stability; closed loop systems; convergence; feedback; linear systems; parameter estimation; SISO systems; adaptive control; asymptotic tracking; closed-loop stability; linear time invariant systems; minimum-phase systems; output feedback; overparameterization; parameter convergence; transient performance; Adaptive control; Control systems; Convergence; Equations; Error correction; Nonlinear control systems; Parameter estimation; Programmable control; Signal design; Strontium;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.539430

Filename

539430