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

Hamid Reza Karimi and Huijun Gao
International Journal of Control, Automation, and Systems, vol. 7, no. 3, pp.371-380, 2009

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.

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

 
 
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