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

Rohit Zope; Javad Mohammadpour; Karolos Grigoriadis; Matthew Franchek

doi:10.1109/ACC.2012.6315159

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 proceeding › Conference contribution

18 Scopus citations

Abstract

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 language	English (US)
Title of host publication	2012 American Control Conference, ACC 2012
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	775-780
Number of pages	6
ISBN (Print)	9781457710957
DOIs	https://doi.org/10.1109/ACC.2012.6315159
State	Published - 2012
Event	2012 American Control Conference, ACC 2012 - Montreal, QC, Canada Duration: Jun 27 2012 → Jun 29 2012

Publication series

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

Other

Other	2012 American Control Conference, ACC 2012
Country/Territory	Canada
City	Montreal, QC
Period	6/27/12 → 6/29/12

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/ACC.2012.6315159

Cite this

Delay-dependent H_∞ control for LPV systems with fast-varying time delays. / Zope, Rohit; Mohammadpour, Javad; Grigoriadis, Karolos et al.
2012 American Control Conference, ACC 2012. Institute of Electrical and Electronics Engineers Inc., 2012. p. 775-780 6315159 (Proceedings of the American Control Conference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Zope, R, Mohammadpour, J, Grigoriadis, K & Franchek, M 2012, Delay-dependent H_∞ control for LPV systems with fast-varying time delays. in 2012 American Control Conference, ACC 2012., 6315159, Proceedings of the American Control Conference, Institute of Electrical and Electronics Engineers Inc., pp. 775-780, 2012 American Control Conference, ACC 2012, Montreal, QC, Canada, 6/27/12. https://doi.org/10.1109/ACC.2012.6315159

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