Interval approach to robust design

Abstract

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.

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