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Robust synchronization and fault detection of uncertain master-slave systems with mixed time-varying delays and nonlinear perturbations

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  • Control Theory
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Abstract

In this paper, the problem of robust synchronization and fault detection for a class of master-slave systems subjected to some nonlinear perturbations and mixed neutral and discrete time-varying delays is investigated based on an H ∞ performance condition. By introducing a descriptor technique, using Lyapunov-Krasovskii functional and a suitable change of variables, new required sufficient conditions are established in terms of delay-dependent linear matrix inequalities to synthesize the residual generation scheme. The explicit expression of the synchronization law is derived for the fault such that both asymptotic stability and a prescribed level of disturbance attenuation are satisfied for all admissible nonlinear perturbations. A numerical example with simulation results illustrates the effectiveness of the methodology.

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Authors and Affiliations

  1. Department of Engineering, Faculty of Engineering and Science, University of Agder, N-4898, Grimstad, Norway

    Hamid Reza Karimi

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  1. Hamid Reza Karimi
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Correspondence to Hamid Reza Karimi.

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Recommended by Editorial Board member Young Soo Suh under the direction of Editor Jae Weon Choi.

Hamid Reza Karimi was born in 1976, and is a Full Professor in Control Systems at the Faculty of Engineering and Science of the University of Agder in Norway. His research interests are in the areas of nonlinear systems, networked control systems, robust control/filter design, time-delay systems, wavelets and vibration control of flexible structures with an emphasis on applications in engineering. Dr. Karimi is a senior member of IEEE and serves as chairman of the IEEE chapter on control systems at IEEE Norway section. He is also serving as an editorial board member for some international journals, such as Mechatronics, International Journal of Control, Automation and Systems, Journal of Innovative Computing Information and Control-Express Letters, and International Journal of Control Theory and Applications, Nonlinear Dynamics and System Theory, etc. He is a member of IEEE Technical Committee on Systems with Uncertainty, IFAC Technical Committee on Robust Control and IFAC Technical Committee on Automotive Control. He was the recipient of the Juan de la Cierva Research Award in 2008, Alexander-von-Humboldt-Stiftung Research Fellowship in 2006, German Academic Exchange Service (DAAD) Research Fellowship in 2003, etc.

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Karimi, H.R. Robust synchronization and fault detection of uncertain master-slave systems with mixed time-varying delays and nonlinear perturbations. Int. J. Control Autom. Syst. 9, 671–680 (2011). https://doi.org/10.1007/s12555-011-0408-8

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  • DOI: https://doi.org/10.1007/s12555-011-0408-8

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