Adaptive disturbance rejection using ARMARKOV system representations

Author

Venugopal, Ravinder ; Bernstein, Dennis S.

Author_Institution

Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA

Volume

2

fYear

1997

fDate

10-12 Dec 1997

Firstpage

1884

Abstract

An adaptive disturbance rejection algorithm is developed for the standard control problem. The MIMO system and controller are represented as ARMARKOV/Toeplitz models, and the parameter matrix of the compensator is updated online by means of a gradient algorithm. The algorithm requires minimal knowledge of the plant, specifically, the numerator of the ARMARKOV transfer function from control to performance is required. No knowledge about the spectrum of the disturbance is needed. Experimental results demonstrating tonal and broadband disturbance rejection in an acoustic duct are presented

Keywords

MIMO systems; Markov processes; Toeplitz matrices; active noise control; adaptive control; autoregressive moving average processes; control system synthesis; discrete time systems; linear systems; transfer function matrices; ARMARKOV system representations; MIMO system; Toeplitz models; acoustic duct; adaptive disturbance rejection; broadband disturbance rejection; compensator; gradient algorithm; parameter matrix; tonal disturbance rejection; transfer function; Adaptive control; Control system synthesis; Control systems; Feedback; Least squares approximation; Optimal control; Prediction algorithms; Predictive control; Predictive models; Programmable control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.657860

Filename

657860