Synthesis of multiple robust controllers for parametric uncertain LTI systems

Jongeun Choi, Ryozo Nagamune, Roberto Horowitz

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

3 Citations (Scopus)


This paper tackles the problem of designing multiple controllers that optimize the worst-case performance of a linear time invariant system under parametric uncertainty. The parametric uncertainty region is assumed to be convex polytopic, which is also partitioned into a set of convex polytopic local regions. It is desired that all plants that belong to a local region are to be controlled by a single controller, which is designed to give an optimal worst-case performance for that region. The total performance is evaluated as the maximum of worst-case performances for all the local regions. It is minimized with respect to a fixed number of convex polytopic local regions, as well as the same number of controllers. Even though the formulated problem is nonconvex, and thus it is difficult to ensure global optimality, algorithms are provided to update the local regions and the multiple controllers so that they guarantee monotonic non-increasing total performance.

Original languageEnglish
Title of host publicationProceedings of the 2006 American Control Conference
Number of pages8
Publication statusPublished - 2006
Event2006 American Control Conference - Minneapolis, MN, United States
Duration: 2006 Jun 142006 Jun 16

Publication series

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


Other2006 American Control Conference
Country/TerritoryUnited States
CityMinneapolis, MN

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


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