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Mathematical framework for recursive model-based system design

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Abstract

In this paper, we introduce a mathematical framework that allows the designer to consider more of the proposed ideas and options in conceptual design phase into the design process. The proposed model allows for dynamical relationship between the system’s high-level requirements and the detailed design parameters, where an optimization engine can optimize over the design parameters and variables for a given range in the requirement. This is done by proposing an input/output block structure named recursive design modular (RDM). The output of RDM is the functions that the system supposes to perform at particular level. The input of RDM is the design parameters that control the required behaviour through a set of mapping or transformation.

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Authors and Affiliations

  1. School of Engineering and Information Technology, University of New South Wales, Australian Defence Force Academy, Canberra, ACT, 2600, Australia

    Mohamed A. Mabrok, Saber Elsayed & Michael J. Ryan

  2. Faculty of Computers and Informatics, Zagazig University, Zagazig, Egypt

    Saber Elsayed

  3. Mathematics Department, Faculty of Science, Suez Canal University, Ismailia, Egypt

    Mohamed A. Mabrok

Authors
  1. Mohamed A. Mabrok
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  2. Saber Elsayed
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  3. Michael J. Ryan
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Correspondence to Mohamed A. Mabrok.

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Mabrok, M.A., Elsayed, S. & Ryan, M.J. Mathematical framework for recursive model-based system design. Nonlinear Dyn 84, 223–236 (2016). https://doi.org/10.1007/s11071-015-2418-1

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  • DOI: https://doi.org/10.1007/s11071-015-2418-1

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