Methods and Applications of Interval Analysis (SIAM Studies in Applied and Numerical Mathematics) (Siam Studies in Applied Mathematics, 2.)
ICANNGA '07 Proceedings of the 8th international conference on Adaptive and Natural Computing Algorithms, Part I
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This paper proposes an approach based on the use of Cellular Evolutionary Strategies (CES) and Interval Arithmetic (IA) as an alternative technique to obtain robust system design. CES are an approach that combines the Evolution Strategy techniques with concepts from Cellular Automata in order to optimise a given function, while IA is used as a checking technique that guarantees the feasibility of the design. IA is able to consider simultaneously the effects of uncertainty of all of the parameters on a performance function and to provide strict bounds (minimum and maximum values) with only one evaluation. CES and IA are used to obtain, by an iterative process, a robust design, that is, the maximum size of each variable deviation that allow to comply with a set of specifications. The proposed approach is an indirect method based on optimisation instead of a direct method based on mapping from the output into the input space. A numerical example, related to an electronic circuit system design, illustrates the application of the approach.