2005
DOI: 10.1115/1.1829728
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A Model-Based Formulation of Robust Design

Abstract: Laid down in this paper are the foundations on which the design of engineering systems, in the presence of an uncontrollable changing environment, can be based. The changes in environment conditions are accounted for by means of robustness. To this end, a theoretical framework as well as a general methodology for model-based robust design are proposed. Within this framework, all quantities involved in a design task are classified into three sets: the design variables (DV), grouped in vector x, which are to be … Show more

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Cited by 41 publications
(17 citation statements)
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“…According to the matrix theory, the norm of the performance variation Y (d = d i , p) in (11) may be expressed as (12) Obviously, if the upper bound of the performance variation in the inequality (12) is small, then the performance variation will be small and, thus, the system is robust. Thus, this robust design can be formulated as the minimization of its upper bound.…”
Section: Robust Designmentioning
confidence: 99%
See 1 more Smart Citation
“…According to the matrix theory, the norm of the performance variation Y (d = d i , p) in (11) may be expressed as (12) Obviously, if the upper bound of the performance variation in the inequality (12) is small, then the performance variation will be small and, thus, the system is robust. Thus, this robust design can be formulated as the minimization of its upper bound.…”
Section: Robust Designmentioning
confidence: 99%
“…A popular robust design method is the model-based robust design, which mainly includes two categories [9]: probabilistic robust design approaches [10]- [12] and deterministic robust design approaches [13]- [16]. However, these types of methods cannot design an unknown system since they require an accurate model.…”
Section: Introductionmentioning
confidence: 99%
“…The quantitative results mean the qualitative performance index for assessing the robustness features. The qualitative performance index selected in this paper, i.e., robustness index (RI) [33][34][35][36][37], is presented in Appendix E.…”
Section: Robustness Of Htgs Using the Nddc Strategymentioning
confidence: 99%
“…The Frobenius norm of a matrix is the square root of the sum of its square singular values. Thus, the robustness index (RI) can be defined as [33][34][35][36][37]…”
Section: Appendix Bmentioning
confidence: 99%
“…Standard OA is basically derived from linear graph of number of variables and levels; the ones most often used are L 4 (2 3 ), L 8 (2 7 ), L 9 (3 4 ), L 25 (5 6 ), and L 49 (7 8 ) [7]. Once the suitable orthogonal array for experimentation is selected, then the experiments are conducted for the identified conditions and the results are analyzed using statistical methods, such as Pareto-ANOVA, ANOVA, or response curves to identify the optimal parameters for performance enhancement [7,11,15,16].…”
Section: Taguchi's Approachmentioning
confidence: 99%