Interval approach to robust design

• Patrizia Lamberti ^[1] ; Vincenzo Tucci ^[1]
  1. [1] University of Salerno

     University of Salerno

     Fisciano, Italia

     
• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 26, Nº 2 (Selected papers from the 9th Workshop on Optimization and Inverse Problems in Electromagnetism, Sorr), 2007, págs. 280-292
• Idioma: inglés
• Enlaces
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• Resumen

  • Purpose – Aims to present a novel approach for the worst‐case, robust design (RD) of an electromagnetic system able to overcome some discretionary aspects of the available methods.

    Design/methodology/approach – The proposed methodology is based on a suitable application of the interval arithmetic and considers the width of the interval Taylor extension (WITE) of the performance function (PF) as a valuable robustness index (RI). In particular, the most robust stationary point is obtained by looking for the minimum of a continuous, non‐differentiable function thanks to the properties of WITE.

    Findings – The method furnishes a reliable classification of the robust solutions with PFs expressed by either mono or multi‐dimensional polynomial forms and provides the over‐bounding of the PF without additional computational efforts.

    Research limitations/implications – Limitations concern the necessity of an analytic formulation of the system performance. The IA approach may lead to lose some robust solution.

    Practical implications – A RI can be assigned in analytic form and it can be suitably used as a figure of merit in a multi‐objective optimisation problem.

    Originality/value – The use of the interval analysis for the worst‐case, RD of an electromagnetic system is original. The system designer may find the most robust stationary solution by means of a continuous, non‐differentiable function.