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An LMI formulation for the estimation-based approach to the design of adaptive filters

Sayyarrodsari, Bijan and How, Jonathan P. and Hassibi, Babak and Carrier, Alain (1998) An LMI formulation for the estimation-based approach to the design of adaptive filters. In: Proceedings of the 37th IEEE Conference on Decision and Control, 1998. Vol.1. IEEE , Piscataway, NJ, pp. 158-160. ISBN 0-7803-4394-8. https://resolver.caltech.edu/CaltechAUTHORS:20150217-074721805

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Abstract

We present a linear matrix inequalities (LMI) formulation for the estimation-based approach to the design of adaptive FIR and IIR filters. LMI provide a convenient framework for the synthesis of multiobjective (H_2/H∞) control problems. Therefore, the H∞ disturbance attenuation criterion in the estimation-based adaptive algorithm can be easily augmented with the appropriate H2 performance constraints. The question of internal stability of the overall system is also directly addressed as a by-product of the Lyapunov-based nature of the LMI formulation. We use an active noise cancellation scenario to study the main features of the proposed LMI solution.


Item Type:Book Section
Related URLs:
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http://dx.doi.org/10.1109/CDC.1998.760610DOIArticle
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=760610PublisherArticle
Additional Information:© 1998 IEEE. Supported by Lockheed Martin Missiles & Space Grant.
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Lockheed Martin Missiles & SpaceUNSPECIFIED
Record Number:CaltechAUTHORS:20150217-074721805
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20150217-074721805
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:54850
Collection:CaltechAUTHORS
Deposited By: Shirley Slattery
Deposited On:17 Feb 2015 23:47
Last Modified:03 Oct 2019 08:01

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