On model matching problems of input-output switching systems

Mohammad Naghnaeian, Petros G. Voulgaris

Research output: Contribution to journalConference article

Abstract

In this paper we consider the model matching problem where linear switched systems are involved. We focus on the worst-case l induced norm and consider the problem when the involved systems have independent or matched switching sequences. We show that a switched compensation which can switch independently of the plant has no advantage over an LTI compensation. Moreover, if the plant is strictly causal, even a switched compensation which has the same switching as the plant does not provide a better performance over an LTI compensation. We further generalize the results of [1] to MIMO systems and present an exact expression to compute the worst-case l induced norm. Using that, one can cast a class of model matching problems as a Linear Programming.

Original languageEnglish (US)
Article number6425979
Pages (from-to)2643-2647
Number of pages5
JournalProceedings of the IEEE Conference on Decision and Control
DOIs
StatePublished - Dec 1 2012
Event51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States
Duration: Dec 10 2012Dec 13 2012

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ASJC Scopus subject areas

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

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