System identification using a retrospective correction filter for adaptive feedback model updating

  • Authors:
  • M. A. Santillo;A. M. D'Amato;D. S. Bernstein

  • Affiliations:
  • Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI;Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI;Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI

  • Venue:
  • ACC'09 Proceedings of the 2009 conference on American Control Conference
  • Year:
  • 2009

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Abstract

In this paper we use a retrospective correction filter (RCF) to identify MIMO LTI systems. This method uses an adaptive controller in feedback with an initial model. The goal is to adapt the closed-loop response of the system to match the response of an unknown plant to a known input. We demonstrate this method on numerical examples of increasing complexity where the initial model is taken to be a one-step delay. Minimum-phase and nonminimum-phase SISO and MIMO examples are considered. The identification signals used include zero-mean Gaussian white noise as well as sums of sinusoids. Finally, we examine the robustness of this method by identifying these systems in the presence of actuator noise.