Controller design to minimize a composite measure of the l1, H2 and l∞ norms

M. V. Salapaka, P. G. Voulgaris, M. Dahleh

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper duality theory is employed to show that the problem of minimizing a given linear combination of the l1 norm, the square of the H2 norm, and the l norm of the closed loop over all stabilizing controllers is equivalent to a finite dimensional convex optimization problem. It is shown that the dimension can be determined a priori. Relation to Pareto optimality is established and the continuity of the optimal solution with respect to changes in the coefficients of the linear combination is proven. The problem is studied for a single input single output, discrete time, linear time invariant system.

Original languageEnglish (US)
Title of host publicationASME Dynamic Systems and Control Division
PublisherASME
Pages297-305
Number of pages9
Volume57-1
StatePublished - Dec 1 1995
EventProceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition - San Francisco, CA, USA
Duration: Nov 12 1995Nov 17 1995

Other

OtherProceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition
CitySan Francisco, CA, USA
Period11/12/9511/17/95

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  • Cite this

    Salapaka, M. V., Voulgaris, P. G., & Dahleh, M. (1995). Controller design to minimize a composite measure of the l1, H2 and l∞ norms. In ASME Dynamic Systems and Control Division (Vol. 57-1, pp. 297-305). ASME.