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Optimum pole positions for Laguerre-function models

Optimum pole positions for Laguerre-function models

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When modelling a linear system with a series of Laguerre functions, the model may be optimised with respect to the pole position of the Laguerre functions. A concise proof of the optimality conditions is presented, which is much shorter and less tedious than any previous proof.

References

    1. 1)
      • N. Wiener . (1966) , Time series.
    2. 2)
      • Kitamori, T.: `Applications of orthogonal functions to the determination of process dynamic characteristics and to the construction of self optimising control systems', Proceedings of the 1st IFAC Congress, 1960, Moscow, p. 613–618.
    3. 3)
      • G.J. Clowes . Choice of the time scaling factor for linear system approximations using orthonormal Laguerre functions. IEEE Trans. , 487 - 488
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