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H filter design for delta operator formulated systems with low sensitivity to filter coefficient variations

H filter design for delta operator formulated systems with low sensitivity to filter coefficient variations

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The problem of designing H filters for delta operator formulated systems with low sensitivity to filter coefficient variations is investigated. The delta operator provides a theoretically unified formulation of continuous-time and discrete-time systems and also has the advantage of better numerical properties at high sampling rates. In addition to the standard H criterion, the H norm of the sensitivity function is introduced in order to improve the designed filter's insensitivity to the filter coefficient variations. Finsler's Lemma is used to derive novel sufficient conditions which are adapted to treat this multiplicative objective optimisation problem in a potentially less conservative framework. Linear matrix inequality conditions are obtained for the existence of admissible filters with respect to additive/multiplicative coefficient variations based on two different types of sensitivity measures. Finally, the effectiveness of the proposed method is illustrated by a numerical example. It is shown that the delta operator approach offers better coefficient sensitivity than the traditional shift operator approach when the sampling rate is high.

References

    1. 1)
    2. 2)
    3. 3)
    4. 4)
      • Hilaire, T., Chevrel, P., Trinquet, Y.: `Designing low parametric sensitivity FWL realizations of LTI controllers/filters within the implicit state-space framework', Proc. 44th IEEE Conf. Decision & Control and 2005 European Control Conf., December 2005, Seville, Spain, p. 5192–5197.
    5. 5)
    6. 6)
    7. 7)
    8. 8)
    9. 9)
    10. 10)
    11. 11)
    12. 12)
    13. 13)
      • Yang, G.H., Guo, X.G.: `Insensitive ', Proc. 48th IEEE Conf. Decision and Control and 2009 28th Chinese Control Conf., December 2009, Shanghai, China, p. 7157–7162.
    14. 14)
    15. 15)
    16. 16)
    17. 17)
    18. 18)
    19. 19)
      • Song, T., Collins, E.G., Istepanian, R.H.: `Improved closed-loop stability for fixed-point controller implementation using the delta operator', Proc. 1999 American Control Conf., June 1999, San Diego, California, USA, 6, p. 4328–4332.
    20. 20)
    21. 21)
    22. 22)
    23. 23)
    24. 24)
    25. 25)
    26. 26)
    27. 27)
      • M. Gevers , G. Li . (1993) Parameterizations in control, estimation and filtering problems: accuracy aspects.
    28. 28)
    29. 29)
    30. 30)
    31. 31)
    32. 32)
    33. 33)
    34. 34)
    35. 35)
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