A globally convergent pole placement indirect adaptive controller

Author

Giri, F. ; Dion, J.M. ; Saad, M.M. ; Dugard, L.

Author_Institution

Lab. d´´Automatique de Grenoble, CNRS, Saint-Martin-d´´Heres, France

Volume

34

Issue

3

fYear

1989

fDate

3/1/1989 12:00:00 AM

Firstpage

353

Lastpage

356

Abstract

A pole displacement indirect adaptive control algorithm is discussed for discrete-time linear deterministic plants with arbitrary zeros. The global convergence of the resulting closed-loop control system is achieved subject to the assumptions that the plant order and a nonzero lower bound on its degree of controllability are known. The problem of controllability of the plant model estimate is handled by using both a parameter correction and time-varying nonlinear feedback. A key property of the algorithm is that the plant estimate reaches a reasonable degree of controllability in a finite time, after which the parameter correction and the nonlinear feedback are no longer used.<>

Keywords

adaptive control; closed loop systems; controllability; discrete time systems; nonlinear control systems; poles and zeros; closed-loop control; controllability; discrete-time linear deterministic plants; global convergence; indirect adaptive controller; parameter correction; pole displacement; time-varying nonlinear feedback; Adaptive control; Control systems; Controllability; Convergence; Parameter estimation; Poles and zeros; Polynomials; Programmable control; Stability; State feedback;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.16433

Filename

16433