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Robust Adaptive Disturbance Attenuation

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Trends in Nonlinear and Adaptive Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 488))

Abstract

Effective attenuation of unwanted sound and vibrations dominated by a number of harmonics is a key enabling technology in a vast array of industrial control applications. This chapter focuses on output feedback robust adaptive suppression of unknown disturbances acting on dynamical systems with uncertain models. Under certain assumptions on the open-loop plant characteristics, the robust stability and performance of a proposed adaptive disturbance-rejecting feedback control scheme are examined. It is shown that over-parameterization of the controller together with a suitable pre-compensation of the open-loop plant can effectively attenuate the disturbance harmonics without amplifying the output broadband noise, while at the same time guaranteeing stability and robustness with respect to unmodeled dynamics. Analytical results are provided for single-input single-output as well as multi-input multi-output systems in both continuous- and discrete-time domains and practical design considerations are presented together with numerical simulations to demonstrate the effectiveness of the proposed scheme.

This chapter is partially reprinted from [1, 2] with the following copyright and permission notices:

\(\bullet \) ©2015, IEEE. Reprinted, with permission, from S. Jafari, P. Ioannou, B. Fitzpatrick, and Y. Wang, Robustness and performance of adaptive suppression of unknown periodic disturbances, IEEE Transactions on Automatic Control, vol. 60, pages 2166–2171 (2015).

\(\bullet \) Reprinted from Automatica, Vol 70, S. Jafari and P. Ioannou, Robust adaptive attenuation of unknown periodic disturbances in uncertain multi-input multi-output systems, Pages 32–42, Copyright (2016), with permission from Elsevier.

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Author information

Authors and Affiliations

  1. Aurora Flight Sciences – A Boeing Company, Manassas, Virginia, 20110, United States

    Saeid Jafari

  2. Department of Electrical and Computer Engineering, at the University of Southern California, Los Angeles, California, 90089, United States

    Petros Ioannou

Authors
  1. Saeid Jafari
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  2. Petros Ioannou
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Correspondence to Saeid Jafari .

Editor information

Editors and Affiliations

  1. Department of Electrical and Computer Engineering, New York University, Brooklyn, NY, USA

    Zhong-Ping Jiang

  2. Automatic Control, CNRS, Saint Martin d’Heres, France

    Christophe Prieur

  3. Department of Electrical and Computer Engineering, Imperial College London, London, UK

    Alessandro Astolfi

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Jafari, S., Ioannou, P. (2022). Robust Adaptive Disturbance Attenuation. In: Jiang, ZP., Prieur, C., Astolfi, A. (eds) Trends in Nonlinear and Adaptive Control. Lecture Notes in Control and Information Sciences, vol 488. Springer, Cham. https://doi.org/10.1007/978-3-030-74628-5_6

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