Disturbance rejection using self-tuning ARMARKOV adaptive control with simultaneous identification

Author

Sane, Harshad S. ; Venugopal, Ravinder ; Bernstein, Dennis S.

Author_Institution

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

Volume

9

Issue

1

fYear

2001

fDate

1/1/2001 12:00:00 AM

Firstpage

101

Lastpage

106

Abstract

In this paper we present a numerical and experimental investigation of the properties of the ARMARKOV adaptive control (AAC) algorithm with simultaneous identification. The underlying model structure of AAC is the ARMARKOV model, which is a structurally constrained ARMA model with explicit impulse response (Markov) parameters. This algorithm requires a model of only the secondary path (control input to performance variable) transfer function which is identified online using the time-domain ARMARKOV/Toeplitz identification technique. For a 5-mode acoustic duct model, we present numerical as well as experimental results for single-tone, dual-tone, and broadband disturbance rejection. In the simulations and experiments we assume no knowledge of the disturbance signal

Keywords

Markov processes; Toeplitz matrices; acoustic variables control; adaptive control; identification; self-adjusting systems; stability; time-domain synthesis; transfer functions; transient response; 5-mode acoustic duct model; AAC; Markov parameters; broadband disturbance rejection; disturbance rejection; dual-tone disturbance rejection; explicit impulse response parameters; secondary path transfer function; self-tuning ARMARKOV adaptive control; simultaneous identification; single-tone disturbance rejection; structurally constrained ARMA model; time-domain ARMARKOV/Toeplitz identification technique; Active noise reduction; Adaptive control; Control systems; Ducts; Measurement standards; Numerical models; Programmable control; Signal processing; Time domain analysis; Transfer functions;

fLanguage

English

Journal_Title

Control Systems Technology, IEEE Transactions on

Publisher

ieee

ISSN

1063-6536

Type

jour

DOI

10.1109/87.896751

Filename

896751