Persistency of excitation in possible unstable continuous-time systems, identification, and indirect adaptive control

Author

NordstrÖm, Niklas

Author_Institution

Dept. of Electr. Eng. & Comput Sci., California Univ., Berkeley, CA, USA

Volume

34

Issue

2

fYear

1989

fDate

2/1/1989 12:00:00 AM

Firstpage

207

Lastpage

211

Abstract

The author proves persistency of excitation of the output of an output-reachable, possibly unstable linear system under certain input conditions, and applies this result to adaptive identification and indirect adaptive control. In adaptive identification, he proves exponential parameter convergence regardless of stability of the identified plant. In indirect adaptive control he proves exponential parameter convergence along with asymptotic time invariance and global experimental stability of the controlled closed-loop system

Keywords

adaptive control; closed loop systems; convergence; identification; linear systems; stability; asymptotic time invariance; closed-loop system; continuous-time systems; exponential parameter convergence; global experimental stability; identification; indirect adaptive control; persistency of excitation; Adaptive control; Asymptotic stability; Automatic control; Continuous time systems; Control systems; Convergence; Parameter estimation; Polynomials; Programmable control; Transfer functions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.21101

Filename

21101