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Synchronization of two different chaotic systems using chattering-free adaptive interval type-2 fuzzy sliding mode control

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4 Author(s)
Roopaei, M. ; Fars Res. & Sci., Islamic Azad Univ., Shiraz, Iran ; Tsung-Chih Lin ; Sahraei, B.R. ; Ming-Che Chen

In this paper, we use an interval type-2 fuzzy logic system integrated with sliding mode control 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 type-2 fuzzy logic controller is used. In addition, an adaptive interval type-2 fuzzy approximator is proposed (as equivalent control part of SMC) to approximate the unknown parts of the uncertain chaotic systems. Using type-2 fuzzy systems makes more effective synchronization results in presence of system uncertainty and disturbances in comparison with type-1 fuzzy systems. The stability analysis for the proposed control scheme is provided and simulation results compare the performance of proposed interval type-2 fuzzy controller with type-1 fuzzy controllers to verify the effectiveness of the proposed method.

Published in:
Industrial Electronics and Applications (ICIEA), 2010 the 5th IEEE Conference on

Date of Conference: 15-17 June 2010

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