Identification Using Orthonormal Functions for Linear Dynamical Systems

  • Bae, Chul-Min (Dept. of Electrical and Electronic Systems Engineering, Graduate School of Information Science and Electrical Engineering, Kyushu University) ;
  • Wada, Kiyoshi (Dept. of Electrical and Electronic Systems Engineering, Graduate School of Information Science and Electrical Engineering, Kyushu University) ;
  • Imai, Jun (Dept. of Electrical and Electronic Systems Engineering, Graduate School of Information Science and Electrical Engineering, Kyushu University)
  • 발행 : 2000.10.01

초록

The use of orthogonal functions with the aim of adapting the system and signal representation to the specific properties of the systems and signals has a long history. A least-squares identification method is studied that estimates a finite number of expansion coefficients in the series expansion of a transfer function, where the expansion is in terms of recently introduced generalized orthogonal functions. It is shown that there exist orthogonal functions that are generated by stable linear dynamical systems.

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