Modified function projective lag synchronization of chaotic systems with disturbance estimations |
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Authors: | Yanbo Gao Binghua Sun Guoping Lu |
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Institution: | 1. School of Science, Nantong University, Nantong, Jiangsu 226007, China;2. School of Electrical Engineering, Nantong University, Nantong, Jiangsu 226019, China |
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Abstract: | This paper addresses the modified function projective lag synchronization (MFPLS) for a class of chaotic systems with unknown external disturbances. The disturbances are supposed to be generated by the exogenous systems. By using the disturbance-observer-based control and the linear matrix inequality approach, the disturbance observers are developed to ensure the boundedness of the disturbance error dynamics. Then by employing the sliding mode control (SMC) technique, an active SMC law is established to guarantee the disturbance rejection and realize MFPLS between the master and slave systems. And the corresponding numerical simulation is provided to illustrate the effectiveness of the proposed method. |
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Keywords: | Active sliding mode control Chaotic systems External disturbances Modified function projective lag synchronization (MFPLS) |
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