In this paper, a sliding-mode approach is proposed for exponential H ∞ synchronization problem of a class of masterslave time-delay systems with both discrete and distributed time-delays, norm-bounded nonlinear uncertainties and Markovian switching parameters. Using an appropriate LyapunovKrasovskii functional, some delay-dependent sufficient conditions and a synchronization law, which include the masterslave parameters are established for designing a delay-dependent mode-dependent sliding mode exponential H ∞ synchronization control law in terms of linear matrix inequalities. The controller guarantees the H ∞ synchronization of the two coupled master and slave systems regardless of their initial states. Two numerical examples are given to show the effectiveness of the method. © 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

A sliding mode approach to H ∞ synchronization of masterslave time-delay systems with Markovian jumping parameters and nonlinear uncertainties

Karimi H. R.
2012-01-01

Abstract

In this paper, a sliding-mode approach is proposed for exponential H ∞ synchronization problem of a class of masterslave time-delay systems with both discrete and distributed time-delays, norm-bounded nonlinear uncertainties and Markovian switching parameters. Using an appropriate LyapunovKrasovskii functional, some delay-dependent sufficient conditions and a synchronization law, which include the masterslave parameters are established for designing a delay-dependent mode-dependent sliding mode exponential H ∞ synchronization control law in terms of linear matrix inequalities. The controller guarantees the H ∞ synchronization of the two coupled master and slave systems regardless of their initial states. Two numerical examples are given to show the effectiveness of the method. © 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
2012
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1103323
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