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Optimal control of delay systems via block pulse functions

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Abstract

The concept of coefficient shift matrix is introduced to represent delay variables in block pulse series. The optimal control of a linear delay system with quadratic performance index is then studied via block pulse functions, which convert the problems into the minimization of a quadratic form with linear algebraic equation constraints. The solution of the two-point boundary-value problem with both delay and advanced arguments is circumvented. The control variable obtained is piecewise constant.

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References

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Authors and Affiliations

  1. Department of Chemical Engineering, National Cheng Kung University, Tainan, Taiwan, Republic of China

    C. Hwang (Associate Professor)

  2. Department of Chemical Engineering and Technology, National Taiwan Institute of Technology, Taipei, Taiwan, Republic of China

    Y. P. Shih (Professor)

Authors
  1. C. Hwang
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  2. Y. P. Shih
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Communicated by D. G. Luenberger

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Hwang, C., Shih, Y.P. Optimal control of delay systems via block pulse functions. J Optim Theory Appl 45, 101–112 (1985). https://doi.org/10.1007/BF00940816

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  • DOI: https://doi.org/10.1007/BF00940816

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