Adaptive disturbance rejection using ARMARKOV/Toeplitz models

Author

Venugopal, Ravinder ; Bernstein, Dennis S.

Author_Institution

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

Volume

8

Issue

2

fYear

2000

fDate

3/1/2000 12:00:00 AM

Firstpage

257

Lastpage

269

Abstract

An adaptive disturbance rejection algorithm is developed for the standard control problem. The multiple input-multiple output (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 model of the transfer function from the control inputs to the performance variables 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; active noise control; adaptive control; autoregressive moving average processes; discrete time systems; gradient methods; transfer functions; vibration control; ARMARKOV model; MIMO system; Toeplitz model; acoustic duct; active noise control; adaptive control; discrete time systems; disturbance rejection; gradient algorithm; transfer function; vibration control; Adaptive control; Control system synthesis; Feedback; Least squares approximation; Prediction algorithms; Predictive control; Predictive models; Programmable control; Transfer functions; Vibration control;

fLanguage

English

Journal_Title

Control Systems Technology, IEEE Transactions on

Publisher

ieee

ISSN

1063-6536

Type

jour

DOI

10.1109/87.826797

Filename

826797