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
Hauptverfasser: Roopaei, Mehdi, Zolghadri Jahromi, Mansoor, Ranjbar-Sahraei, Bijan, Lin, Tsung-Chih
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container_end_page 680
container_issue 4
container_start_page 667
container_title Nonlinear dynamics
container_volume 66
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.
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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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