Combined parameter and output estimation of dual-rate systems using an auxiliary model

  • Authors:
  • Feng Ding;Tongwen Chen

  • Affiliations:
  • Department of Automation, Tsinghua University, Beijing 100084, PR China;Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada T6G 2V4

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2004

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Abstract

For a dual-rate sampled-data system, an auxiliary model based identification algorithm for combined parameter and output estimation is proposed. The basic idea is to use an auxiliary model to estimate the unknown noise-free output (true output) of the system, and directly to identify the parameters of the underlying fast single-rate model from the dual-rate input-output data. It is shown that the parameter estimation error consistently converges to zero under generalized or weak persistent excitation conditions and unbounded noise variance, and that the output estimates uniformly converge to the true outputs. An example is included.