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Erschienen in:
Comparative Study on Fractional Order PID and PID Controllers on Noise Suppression for Manipulator Trajectory Control Kapitel lesen Erstes Kapitel lesen

2017 | OriginalPaper | Buchkapitel

Robust Adaptive Interval Type-2 Fuzzy Synchronization for a Class of Fractional Order Chaotic Systems

verfasst von : Khatir Khettab, Yassine Bensafia, Samir Ladaci

Erschienen in: Fractional Order Control and Synchronization of Chaotic Systems

Verlag: Springer International Publishing

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Abstract

This chapter presents a novel Robust Adaptive Interval Type-2 Fuzzy Logic Controller (RAIT2FLC) equipped with an adaptive algorithm to achieve synchronization performance for fractional order chaotic systems. In this work, by incorporating the \( H^{\infty } \) tracking design technique and Lyapunov stability criterion, a new adaptive fuzzy control algorithm is proposed so that not only the stability of the adaptive type-2 fuzzy control system is guaranteed but also the influence of the approximation error and external disturbance on the tracking error can be attenuated to an arbitrarily prescribed level via the H ∞ tracking design technique. The main contribution in this work is the use of the interval type-2 fuzzy logic controller and the numerical approximation method of Grünwald-Letnikov in order to improve the control and synchronization performance comparatively to existing results. By introducing the type-2 fuzzy control design and robustness tracking approach, the synchronization error can be attenuated to a prescribed level, even in the presence of high level uncertainties and noisy training data. A simulation example on chaos synchronization of two fractional order Duffing systems is given to verify the robustness of the proposed AIT2FLC approach in the presence of uncertainties and bounded external disturbances.

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Vorheriges Kapitel Robust Adaptive Supervisory Fractional Order Controller for Optimal Energy Management in Wind Turbine with Battery Storage
Nächstes Kapitel Optimal Fractional Order Proportional—Integral—Differential Controller for Inverted Pendulum with Reduced Order Linear Quadratic Regulator
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Metadaten
Titel
Robust Adaptive Interval Type-2 Fuzzy Synchronization for a Class of Fractional Order Chaotic Systems
verfasst von
Khatir Khettab
Yassine Bensafia
Samir Ladaci
Copyright-Jahr
2017
Buch
Fractional Order Control and Synchronization of Chaotic Systems

Print ISBN: 978-3-319-50248-9

Electronic ISBN: 978-3-319-50249-6

Copyright-Jahr: 2017

DOI
https://doi.org/10.1007/978-3-319-50249-6_7