Multi-objective MIMO optimal control design without zero interpolation

Murti V. Salapaka, M. Khammash

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

5 Scopus citations

Abstract

In this paper optimal controller design which address the concerns of the H2 and the ℓ1 norms is studied. In the first problem a positive combination of the H2 and the ℓ1 norms of the closed loop is minimized. In the second the ℓ1 norm of a transfer function is minimized while restraining the another below a prespecified level. Converging upper and lower bounds are obtained. Relation to the pure ℓ1 problem is established. The solution methodology does not involve zero interpolation to characterize the achievable closed-loop maps. Thus obtaining the controller from the optimal closed-loop map is very straightforward.

Original languageEnglish (US)
Title of host publicationProceedings of the 1998 American Control Conference, ACC 1998
Pages660-664
Number of pages5
DOIs
StatePublished - Dec 1 1998
Event1998 American Control Conference, ACC 1998 - Philadelphia, PA, United States
Duration: Jun 24 1998Jun 26 1998

Publication series

NameProceedings of the American Control Conference
Volume1
ISSN (Print)0743-1619

Other

Other1998 American Control Conference, ACC 1998
CountryUnited States
CityPhiladelphia, PA
Period6/24/986/26/98

Keywords

  • Duality
  • H optimization
  • Multiple objectives
  • Robust control
  • ℓ optimization

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    Salapaka, M. V., & Khammash, M. (1998). Multi-objective MIMO optimal control design without zero interpolation. In Proceedings of the 1998 American Control Conference, ACC 1998 (pp. 660-664). [694752] (Proceedings of the American Control Conference; Vol. 1). https://doi.org/10.1109/ACC.1998.694752