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An H_∞-optimal alternative to the FxLMS algorithm

Sayyarrodsari, Bijan and How, Jonathan P. and Hassibi, Babak and Carrier, Alain (1998) An H_∞-optimal alternative to the FxLMS algorithm. In: Proceedings of the 1998 American Control Conference, 1998. Vol.2. IEEE , Piscataway, NJ, pp. 1116-1121. ISBN 0-7803-4530-4. https://resolver.caltech.edu/CaltechAUTHORS:20150217-073042063

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Abstract

We study a general setting of active noise cancellation problems from the H_∞ point of view and present a solution that optimally limits the worst case energy gain from the interfering measurement errors, external disturbances, and initial condition uncertainty to the residual noise. The optimal bounding of this energy gain is the main characteristic of the proposed solution. To impose a finite impulse response structure on the controller, we suggest an adaptation scheme for the weight vector of an FIR filter that approximates the H_∞-optimal solution. Our discussions explain: 1) why and how this new adaptive scheme generalizes previous results on the H_∞-optimality of the LMS algorithm; 2) why it is an alternative to the widely used filtered-X least-mean-squares (FxLMS) algorithm; and 3) how the formulation provides an appropriate framework to address the issues of modeling error and robustness. Simulations are used to compare the performance of the proposed H_∞-optimal adaptive scheme with the FxLMS algorithm.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/ACC.1998.703585DOIArticle
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=703585PublisherArticle
Additional Information:© 1998 IEEE. Supported by a grant from Lockheed Martin Missiles & Space.
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Lockheed Martin Missiles & SpaceUNSPECIFIED
Record Number:CaltechAUTHORS:20150217-073042063
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20150217-073042063
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:54846
Collection:CaltechAUTHORS
Deposited By: Shirley Slattery
Deposited On:28 Feb 2015 03:13
Last Modified:03 Oct 2019 08:01

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