Synchronization of two different chaotic systems using novel adaptive interval type-2 fuzzy sliding mode control |
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Authors: | Mehdi Roopaei Mansoor Zolghadri Jahromi Bijan Ranjbar-Sahraei Tsung-Chih Lin |
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Institution: | (1) Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, 710072, People’s Republic of China; |
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Abstract: | In this paper, we use sliding mode control integrated with an interval type-2 fuzzy system for synchronization of two different
chaotic systems in presence of system unmodeling and external disturbances. To reduce the chattering and improve the robustness
of reaching phase of the Sliding Mode Control (SMC), an interval fuzzy type-2 logic controller is used. In addition, an adaptive
interval type-2 fuzzy inference approximator is proposed (as equivalent control part of SMC) to approximate the unknown parts
of the uncertain chaotic system. Using type-2 fuzzy systems makes more effective synchronization results in presence of system
uncertainty and disturbances in comparison with type-1 fuzzy approximators. The stability analysis for the proposed control
scheme is provided, and simulation results compare the performance of interval type-2 fuzzy and type-1 fuzzy controllers to
verify the effectiveness of the proposed method. |
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Keywords: | |
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