Regular Papers

International Journal of Control, Automation and Systems 2009; 7(3): 371-380

Published online May 30, 2009

https://doi.org/10.1007/s12555-009-0306-5

© The International Journal of Control, Automation, and Systems

LMI-Based H∞ Synchronization of Second-Order Neutral Master-Slave Systems Using Delayed Output Feedback Control

Hamid Reza Karimi and Huijun Gao

University of Agder, Norway

Abstract

The H∞ synchronization problem of the master and slave structure of a second-order neutral master-slave systems with time-varying delays is presented in this paper. Delay-dependent sufficient conditions for the design of a delayed output-feedback control are given by Lyapunov-Krasovskii method in terms of a linear matrix inequality (LMI). A controller, which guarantees H∞ synchroniza-tion of the master and slave structure using some free weighting matrices, is then developed. A numeri-cal example has been given to show the effectiveness of the method. The simulation results illustrate the effectiveness of the proposed methodology.

Keywords H∞ synchronization, LMI, output-feedback control, second-order systems, time-delay.

Article

Regular Papers

International Journal of Control, Automation and Systems 2009; 7(3): 371-380

Published online June 1, 2009 https://doi.org/10.1007/s12555-009-0306-5

Copyright © The International Journal of Control, Automation, and Systems.

LMI-Based H∞ Synchronization of Second-Order Neutral Master-Slave Systems Using Delayed Output Feedback Control

Hamid Reza Karimi and Huijun Gao

University of Agder, Norway

Abstract

The H∞ synchronization problem of the master and slave structure of a second-order neutral master-slave systems with time-varying delays is presented in this paper. Delay-dependent sufficient conditions for the design of a delayed output-feedback control are given by Lyapunov-Krasovskii method in terms of a linear matrix inequality (LMI). A controller, which guarantees H∞ synchroniza-tion of the master and slave structure using some free weighting matrices, is then developed. A numeri-cal example has been given to show the effectiveness of the method. The simulation results illustrate the effectiveness of the proposed methodology.

Keywords: H∞ synchronization, LMI, output-feedback control, second-order systems, time-delay.

IJCAS
September 2024

Vol. 22, No. 9, pp. 2673~2953

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