ROBUST $\mathcal{H}_{\infty}$ CONTROL FOR MASTER-SLAVE SYNCHRONIZATION OF LUR'E SYSTEMS WITH TIME-DELAY FEEDBACK CONTROL-Reference-Cited by-同舟云学术

ROBUST $\mathcal{H}_{\infty}$ CONTROL FOR MASTER-SLAVE SYNCHRONIZATION OF LUR'E SYSTEMS WITH TIME-DELAY FEEDBACK CONTROL

Published:2008-04 Issue:04 Volume:18 Page:1161-1173
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

SOUZA FERNANDO O.¹,PALHARES REINALDO M.¹,MENDES EDUARDO M. A. M.¹,TÔRRES LEONARDO A. B.¹

Affiliation:

1. Department of Electronics Engineering, Federal University of Minas Gerais, Av. Antônio Carlos 6627, Belo Horizonte 31270-901, Brazil

Abstract

This paper deals with the problems of stability analysis and control synthesis with [Formula: see text] performance for the master-slave synchronization of Lur'e systems using a time-delay feedback control. The proposed approach consists in obtaining a new improved [Formula: see text] robust stability criteria as well as a control law based on linear matrix inequalities (LMIs) via discretized Lyapunov–Krasovskii functional combined with an alternative strategy based on the introduction of slack variables to allow the decoupling of the system matrices from the Lyapunov matrices. Using the problem of synchronizing coupled Chua's circuits, two examples are presented to illustrate the effectiveness of the proposed methodology.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127408020896

Reference28 articles.

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