Synchronization of two different chaotic systems using novel adaptive interval type-2 fuzzy sliding mode control
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 Contro...
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Veröffentlicht in: | Nonlinear dynamics 2011-12, Vol.66 (4), p.667-680 |
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creator | Roopaei, Mehdi Zolghadri Jahromi, Mansoor Ranjbar-Sahraei, Bijan Lin, Tsung-Chih |
description | 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. |
doi_str_mv | 10.1007/s11071-010-9939-4 |
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subjects | Adaptive control Automotive Engineering Chaos theory Classical Mechanics Control Control stability Disturbances Dynamical Systems Engineering Fuzzy Fuzzy control Fuzzy logic Fuzzy set theory Fuzzy systems Intervals Mechanical Engineering Nonlinear dynamics Original Paper Sliding mode control Stability analysis Synchronism System effectiveness Vibration |
title | Synchronization of two different chaotic systems using novel adaptive interval type-2 fuzzy sliding mode control |
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