Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems

  • Authors:

  • Feng Ding;Li Qiu;Tongwen Chen

  • Affiliations:

  • Control Science and Engineering Research Center, Jiangnan University, Wuxi, 214122, China;Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong, China;Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada T6G 2V4

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

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Abstract

A continuous-time system cannot be recovered solely from its uniformly sampled discrete-time model through the zero-order hold discretization or step-invariant transformation, but our studies indicate that it can be recovered uniquely from its non-uniformly sampled discrete-time model. In this paper, we discuss some related issues of non-uniformly sampled systems, including model derivation, controllability and observability, computation of single-rate models with different sampling periods, reconstruction of continuous-time systems, and parameter identification of non-uniformly sampled discrete-time systems. A numerical example is also given for illustration.