Controller design via infinite-dimensional linear programming

Nicola Elia, Munther A. Dahleh, Ignacio J. Diaz-Bobillo

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


This paper addresses the problem of synthesizing controllers to meet specifications that can be represented in terms of linear constraints. A duality result for the problem of minimizing the l1 norm of a closed loop map augmented with linear convex constraints is derived, and it is shown that under mild assumptions, there is no duality gap in the primal-dual programs. The utility of this result is shown through the solution of two problems: the no-overshoot problem, and minimizing the l1 norm of a system subjected to frequency domain constraints.

Original languageEnglish (US)
Title of host publicationAmerican Control Conference
PublisherPubl by IEEE
Number of pages5
ISBN (Print)0780308611, 9780780308619
StatePublished - 1993
Externally publishedYes
EventProceedings of the 1993 American Control Conference - San Francisco, CA, USA
Duration: Jun 2 1993Jun 4 1993

Publication series

NameAmerican Control Conference


OtherProceedings of the 1993 American Control Conference
CitySan Francisco, CA, USA


Dive into the research topics of 'Controller design via infinite-dimensional linear programming'. Together they form a unique fingerprint.

Cite this