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Continued-fraction algorithm for biased model reduction

Continued-fraction algorithm for biased model reduction

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An algorithm is presented for linear system reduction which produces biased models such that combinations of retained time moments and Markov parameters may be varied. It is based on the Cauer continued-fraction expansions of the first and second forms and is easy to apply. An example demonstrates the method.

References

    1. 1)
      • Y. Bistritz . Mixed complete Padé model reduction: a useful formulation for closed loop design. Electron. Lett. , 563 - 565
    2. 2)
      • C.F. Chen , L.S. Shieh . A novel approach to linear model simplification. Int. J. Control , 561 - 570
    3. 3)
      • S.C. Chuang . Application of continued-fraction method for modelling transfer functions to give more accurate initial transient response. Electron. Lett. , 861 - 863
    4. 4)
      • Y. Shamash . Stable biased reduced order models using the Routh method of reduction. Int. J. Control , 641 - 654
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