Chaos synchronization between two different chaotic systems with uncertainties, external disturbances, unknown parameters and input nonlinearities |
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Authors: | Mohammad Pourmahmood Aghababa Aiuob Heydari |
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Affiliation: | a Electrical Engineering Department, Urmia University of Technology, Urmia, Iran b Civil Engineering Department, Urmia University of Technology, Urmia, Iran |
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Abstract: | In this paper, the problem of chaos synchronization between two different uncertain chaotic systems with input nonlinearities is investigated. Both master and slave systems are perturbed by model uncertainties, external disturbances and unknown parameters. The bounds of the model uncertainties and external disturbances are assumed to be unknown in advance. First, a simple linear sliding surface is selected. Then, appropriate adaptive laws are derived to tackle the model uncertainties, external disturbances and unknown parameters. Subsequently, based on the adaptive laws and Lyapunov stability theory, a robust adaptive sliding mode control law is designed to guarantee the existence of the sliding motion. Two illustrative examples are presented to verify the usefulness and applicability of the proposed technique. |
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Keywords: | Sliding mode control Model uncertainty External disturbance Unknown parameter Input nonlinearity |
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