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New method for approximating time-delay systems with delay-free systems

New method for approximating time-delay systems with delay-free systems

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A transfer function including a not too ‘large’ time delay is approximated with a transfer function characterised by only one stable, multiple pole. The approach is based on the Laguerre orthogonal function expansion of the impulse responses, corresponding to the given transfer function and the approximating one. The approach requires very limited computational effort to achieve a good approximation.

References

    1. 1)
      • Teasdale, R.D.: `Time domain approximation by use of Padè approximants', Pt. 5, IRE Convention Record, 1953, p. 89–84, circuit theory.
    2. 2)
      • C. Kim , J.C. Friedly . Approximate dynamic modelling of large staged systems. Ind. & Eng. Chem. Processes Res. & Dev. , 177 - 181
    3. 3)
      • Ward, E.E.: `The calculation of transients in dynamical systems', Proc. Cambridge Philosphical Society, 1954, 50, p. 49–59.
    4. 4)
      • J.E. Marshall . (1979) Control of time-delay systems, IEE Control Engineering Series 10.
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