High-gain observers in the presence of measurement noise: A switched-gain approach

  • Authors:
  • Jeffrey H. Ahrens;Hassan K. Khalil

  • Affiliations:
  • Sullivan Park Research Center, Corning Incorporated, Corning, NY 14870, United States;Department of Electrical and Computer Engineering, Michigan State University, East Lansing, MI 48824-1226, United States

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2009

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Abstract

This paper considers output feedback control using high-gain observers in the presence of measurement noise for a class of nonlinear systems. We study stability in the presence of measurement noise and illustrate the tradeoff when selecting the observer gain between state reconstruction speed and robustness to model uncertainty on the one hand versus amplification of noise on the other. Based on this tradeoff we propose a high-gain observer that switches between two gain values. This scheme is able to quickly recover the system states during large estimation error and reduce the effect of measurement noise in a neighborhood of the origin of the estimation error. We argue boundedness and ultimate boundedness of the closed-loop system under switched-gain output feedback.