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

Author

Sayyarrodsari, Bijan ; How, Jonathan P. ; Hassibi, Babak ; Carrier, Alain

Author_Institution

Dept. of Electr. Eng., Stanford Univ., CA, USA

Volume

1

fYear

1998

fDate

1998

Firstpage

158

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 (H₂/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

Keywords

FIR filters; H^∞ control; IIR filters; Lyapunov methods; active noise control; adaptive filters; filtering theory; matrix algebra; parameter estimation; FIR filters; H_∞ control; IIR filters; Lyapunov method; active noise cancellation; adaptive filters; linear matrix inequality; parameter estimation; Adaptive algorithm; Adaptive filters; Control system synthesis; Finite impulse response filter; IIR filters; Linear matrix inequalities; Noise cancellation; Riccati equations; Space technology; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1998. Proceedings of the 37th IEEE Conference on

Conference_Location

Tampa, FL

ISSN

0191-2216

Print_ISBN

0-7803-4394-8

Type

conf

DOI

10.1109/CDC.1998.760610

Filename

760610