Applications of a model matching framework in switched systems

Shengxiang Jiang, Petros G Voulgaris

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


In this paper we build on our previous work to consider some applications of a prototypical model matching framework where the various mappings involved are systems that switch arbitrarily among n given linear time-invariant (LTI) systems. The design interest was placed on minimizing the worst case ℓ-induced norm of this model matching system over all possible switchings. It was shown that the model matching problem can be solved via linear programming (LP) with an arbitrary a-priori precision. To illustrate the efficiency of the proposed architecture, we consider herein three related applications: sensitivity minimization of switched systems, linear parameter-varying (LPV) control, and cooperative control of dynamic agents. These applications share a common feature that information switching about the system dynamics results in a switched closed-loop system and thus generate the necessity to address transient system stability and performance optimization. A numerical example is included to demonstrate the difference of achievable performance under different switchings.

Original languageEnglish (US)
Title of host publication2008 American Control Conference, ACC
Number of pages6
StatePublished - Sep 30 2008
Event2008 American Control Conference, ACC - Seattle, WA, United States
Duration: Jun 11 2008Jun 13 2008

Publication series

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


Other2008 American Control Conference, ACC
Country/TerritoryUnited States
CitySeattle, WA


  • Worst case switching
  • ℓ optimal
  • ℓ-induced optimality

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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