Delay-dependent H control for LPV systems with fast-varying time delays

Rohit Zope, Javad Mohammadpour, Karolos Grigoriadis, Matthew Franchek

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

19 Scopus citations


Presented in this paper is a method for stabilization and induced L 2-gain (or H norm) control of Linear Parameter-Varying (LPV) systems with fast-varying time delays. The Lyapunov-Krasovskii functional is used to derive the delay-dependent stability analysis and control synthesis conditions. In order to formulate the synthesis conditions as Linear Matrix Inequalities (LMIs), a relaxation method using slack variables is proposed. The introduction of slack variables along with the delay-dependent bounded real lemma conditions results in reduced conservatism with the proposed method. Sufficiency conditions that guarantee the existence of a parameter-dependent state feedback control law are then provided. Finally, numerical examples are presented to validate the proposed results and compare with recent work in the literature to show the improvements achieved.

Original languageEnglish (US)
Title of host publication2012 American Control Conference, ACC 2012
Number of pages6
StatePublished - Nov 26 2012
Event2012 American Control Conference, ACC 2012 - Montreal, QC, Canada
Duration: Jun 27 2012Jun 29 2012


Other2012 American Control Conference, ACC 2012
CityMontreal, QC

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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