Synchronization of Chaotic Systems by Using Limited Nussbaum Gain Method
نویسندگان
چکیده
Abstract: In this study, we propose a novel kind of limited Nussbaum gain method to solve the unknown control direction problem of chaotic systems. It is necessary to consider the unknown control direction situation when chaos synchronization is used for secure communication. Also it is very useful to design a small gain with a Nussbaum method if the Nussbaum gain method is used in a real engineering system. The smaller a gain is designed, the safer and more stable a Nussbaum gain method is used. According to the above principles, a limited gain Nussbaum method is used to solve the uncertainties of chaotic system, such as unknown parameters, unknown nonlinear functions and unknown input or control directions. At last, detailed numerical simulation is done to testify the rightness and effectiveness of the proposed method.
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