Gain-scheduled continuous-time control using polytope-bounded inexact scheduling parameters

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Abstract

This paper investigates the problem of gain-scheduled output feedback control design for continuous-time linear parameter varying systems. The scheduling parameters are supposed to be measured in real time with absolute uncertainties and proportional uncertainties, simultaneously. Using a nonlinear transformation, the problem is formulated in terms of solutions to a set of parameter-dependent linear matrix inequalities, exploiting parameter searches for two scalar values. H-type problem is treated using parameter-dependent Lyapunov and auxiliary matrices. One of the advantages of the presented method lies in its less conservatism in comparison with the available approaches. Some numerical examples are given to illustrate the effectiveness and advantage of the proposed method.

Original languageEnglish
Pages (from-to)5557-5574
Number of pages18
JournalInternational Journal of Robust and Nonlinear Control
Volume28
Issue number17
DOIs
Publication statusPublished - 25 Nov 2018
Externally publishedYes

Keywords

  • continuous-time system
  • gain-scheduled control
  • inexact scheduling parameter
  • polytope-bounded uncertainty

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