Mu robustness analysis of adaptive feedforward noise cancelling algorithms

Author

Bayard, David S.

Author_Institution

Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA

Volume

3

fYear

1999

fDate

1999

Firstpage

2023

Abstract

Robust control theory is applied to analyzing a class of adaptive feedforward algorithms which are commonly used for cancelling sinusoidal noise. It is shown that by using a previously developed LTI/LTV decomposition, sufficient conditions for robust stability can be established in terms of the structured singular value. This approach differs significantly from more accepted methods of adaptive analysis using hyperstability, Lyapunov functions, etc., and leads to important insights when studying robust stability properties of the adaptive system

Keywords

acoustic variables control; adaptive control; control system analysis; feedforward; harmonics suppression; robust control; LTI/LTV decomposition; adaptive feedforward noise cancelling algorithms; mu robustness analysis; robust stability; sinusoidal noise; structured singular value; sufficient conditions; Adaptive control; Adaptive systems; Algorithm design and analysis; Lyapunov method; Noise cancellation; Noise robustness; Programmable control; Robust control; Robust stability; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1999. Proceedings of the 1999

Conference_Location

San Diego, CA

ISSN

0743-1619

Print_ISBN

0-7803-4990-3

Type

conf

DOI

10.1109/ACC.1999.786265

Filename

786265