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Synchronization in reduced-order of chaotic systems via control approaches based on high-order sliding-mode observer
Authors:A Rodríguez  J De Len  L Fridman
Institution:aElectrical Engineering Doctoral Program, Mechanical and Electrical Engineering Faculty, Autonomous University of Nuevo León, 66450 San Nicolás de los Garza, N.L., Mexico;bDepartment of Control, Division of Electrical Engineering, Engineering Faculty, National Autonomous University of Mexico, 04510 Mexico City, Mexico
Abstract:The reduced-order synchronization problem of two chaotic systems (master–slave) with different dimension and relative degree is considered. A control scheme based on a high-order sliding-mode observer-identifier and a feedback state controller is proposed, where the trajectories of slave can be synchronized with a canonical projection of the master. Thus, the reduced-order synchronization is achieved in spite of master/slave mismatches. Simulation results are provided in order to illustrate the performance of the proposed synchronization scheme.
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