A Space-Mapping Framework for Engineering Optimization: Theory and Implementation

Slawomir Koziel, John W. Bandler, Kaj Madsen

    Research output: Contribution to journalJournal articleResearchpeer-review


    This paper presents a comprehensive approach to engineering design optimization exploiting space mapping. The algorithms employ input space mapping and a new generalization of implicit space mapping to minimize the misalignment between the coarse and fine models of the optimized object over a region of interest. Output space mapping ensures the matching of responses and first-order derivatives between the mapped coarse model and the fine model at the current iteration point in the optimization process. We provide theoretical results that show the importance of the explicit use of sensitivity information to the convergence properties of our family of algorithms. Our algorithm is demonstrated on the optimization of a microstrip band-pass filter, a band-pass filter with double-coupled resonators and a seven-section impedance transformer. We describe the novel user-oriented software package SMF that implements the new family of space mapping optimization algorithms.
    Original languageEnglish
    JournalI E E E Transactions on Microwave Theory and Techniques
    Issue number10
    Pages (from-to)3721-3730
    Publication statusPublished - 2006


    • design automation
    • Computer-aided design (CAD)
    • space mapping optimization


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