Improved LMI representations for the analysis and the design of continuous-time systems with polytopic type uncertainty

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Abstract

Simple modifications to the representation of the bounded real lemma (BRL) in the linear continuous time-invariant case are introduced. These modifications reduce the overdesign that occurs in the analysis and the design of systems with polytopic-type uncertainties. A different Lyapunov function accompanies each of the vertices of the uncertainty polytope, thus eliminating the need for quadratic stability or stabilizability. The advantages of these new representations are demonstrated by way of two examples.

Original languageEnglish
Pages (from-to)652-656
Number of pages5
JournalIEEE Transactions on Automatic Control
Volume46
Issue number4
DOIs
StatePublished - Apr 2001

Keywords

  • Improved linear matrix inequality (LMI)
  • Quadratic stabilization
  • Robust control

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