Title :
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
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;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657860
