제어로봇시스템학회:학술대회논문집
- 1998.10a
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- Pages.285-288
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- 1998
Identification Using Orthonormal Functions
- Bae, Chul-Min (Department of Electrical and Electronic System Engineering, Kyushu University) ;
- Wada, Kiyoshi (Department of Electrical and Electronic System Engineering, Kyushu University) ;
- Imai, Jun (Department of Electrical and Electronic System Engineering, Kyushu University)
- Published : 1998.10.01
Abstract
A least-squares identification method is studied that estimates a finite number of coefficients in the series expansion of a transfer function, where the expansion is in terms of recently introduced generalized basis functions, We will expand and generalize the orthogonal functions as basis functions for dynamical system representations. To this end, use is made of balanced realizations as inner transfer functions. The orthogonal functions can be considered as generalizations of, for example, the pulse functions, Laguerre functions, and Kautz functions, and give rise to an alternative series expansion of rational transfer functions. We show that the Laplace transform of the expansion for some sets