Multiobjective control : an overview

B.G. Vroemen, A.G. Jager, de

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Abstract

An overview of a number of approaches to the multiobjective control problem is given. In practice, this problem usually boils down to a mixed-norm optimization, where traditionally the norms of interest are H2, H8 and l1. To capture different, often conflicting, design specifications a single-norm form is usually not enough and therefore a mixed-norm formalism combining these norms would be of considerable interest. Although it would be nice to have all three norms present, most approaches focus on the two-norm problem. Frequently encountered is the H2/H8 mixed-norm optimization problem, but combinations of l1 and the other two norms are starting to get more attention. It will be seen that the solution to the mixed-norm optimization problem has not yet reached a final shape, since most methods still exhibit problems, like not being able to find a solution if performance specifications are tight, or generating high-order or too conservative controllers, etc
Original languageEnglish
Title of host publicationProceedings of the 36th IEEE Conference on Decision and Control (San Diego CA, USA, December 10-12, 1997)
Place of PublicationPiscataway (NJ)
PublisherInstitute of Electrical and Electronics Engineers
Pages440-445
ISBN (Print)0-7803-4187-2
DOIs
Publication statusPublished - 1997

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    Vroemen, B. G., & Jager, de, A. G. (1997). Multiobjective control : an overview. In Proceedings of the 36th IEEE Conference on Decision and Control (San Diego CA, USA, December 10-12, 1997) (pp. 440-445). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.1997.650664