Abstract
This paper proposes a mini-max type robust optimal design based on design variation hyper sphere and quadratic response surface. In order to enhance the robust optimal design by considering correlative variance and nonlinearity of the objective function and constraints, robust optimality is evaluated by their worst points within a distribution region, and the robust optimization problem is formulated as a mini-max type one. In the computational scheme, the design space is diagonalized and isoparameterized into a hyper sphere and the objective function and constraints are approximated as quadratic polynomials over the region to efficiently obtain the strict extremes by mathematical means within the inner loop of mini-max type optimization computation. The proposed formulation is applied to two numerical examples for ascertaining its validity.
