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State Space Modeling in improving Active Noise / Vibration Control

The filtered-X LMS algorithm is widely used for active or adaptive noise control. In this implementation the system and controller dynamics are modelled as finite impulse response (FIR) systems. It is shown that the use of state space model representations in stead of the FIR models can improve active control schemes greatly. First we outline how a state space model and related tools such as inner outer factorization can be used to improve the convergence rate of the filtered-U LMS algorithm. The latter scheme is a modification of the filter-X scheme where the controller is modelled by an IIR system. Second, a block wise data processing based on subspace identification methods is presented to derive the optimal Wiener solution on-line. Both results are illustrated with an acoustical duct laboratory set-up.

Type of Seminar:
Public Seminar
Prof. Michel Verhaegen
Chairman Control and Systems Engineering Group Faculty of Information Technology and Systems Delft University of Technology
Jan 23, 2002   17:15

ETH Zentrum, Gloriastrasse 35, 8006 Zürich, building ETZ room E6
Contact Person:

Prof. M. Morari
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Biographical Sketch:
Michel Verhaegen received the aerospace engineering degree in 1985. After his Ph.D. from the Catholic University of Leuven, he was affiliated with the NASA Ames Institute in California. From 1988 until 1999 he was a permanent staff member of the department of electrical engineering where he spent a number of pleasant years working together with Prof. P. Dewilde. Since 2001 he is full professor in Systems and Control Engineering at the Delft University of Technology.