Switching among structured stabilizing controllers

Shengxiang Jiang, Petros G. Voulgaris

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


In this paper we consider the problem of designing a controller K that consists of a set of structured stabilizing components {Km} m=1n. At each time instant depending on the mode J m of operation, the corresponding component Km is used. We seek conditions so that a controller, implemented in this form, minimizes the worst case ℓ-induced norm under arbitrary switching of the controller among n components, while providing a pre-specifled performance level γm in each operational mode Jm. Based on the Youla-Kucera parameterization, the design problem can be converted into a sequence of linear programming problems, the solutions of which provide an approximate solution of the original problem with any given precision. A numerical example is included to demonstrate the efficiency of algorithms.

Original languageEnglish (US)
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Print)1424414989, 9781424414987
StatePublished - 2007
Externally publishedYes
Event46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States
Duration: Dec 12 2007Dec 14 2007

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370


Other46th IEEE Conference on Decision and Control 2007, CDC
Country/TerritoryUnited States
CityNew Orleans, LA


  • Arbitrary switching
  • Structured
  • Worst case
  • Youla

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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