Synchronization of uncertain fractional-order hyper-chaotic systems via a novel adaptive interval type-2 fuzzy active sliding mode controller

International Journal of Dynamics and Control ◽

10.1007/s40435-015-0207-9 ◽

2015 ◽

Vol 5 (1) ◽

pp. 135-144 ◽

Author(s):

Milad Mohadeszadeh ◽

Hadi Delavari

Keyword(s):

Fractional Order ◽

Chaotic Systems ◽

Sliding Mode ◽

Sliding Mode Controller ◽

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Optimal interval type-2 fuzzy fractional order super twisting algorithm: A second order sliding mode controller for fully-actuated and under-actuated nonlinear systems

ISA Transactions ◽

10.1016/j.isatra.2018.10.013 ◽

2019 ◽

Vol 85 ◽

pp. 13-32 ◽

Author(s):

Ehsan Zakeri ◽

Seyed Alireza Moezi ◽

Mohammad Eghtesad

Keyword(s):

Nonlinear Systems ◽

Fractional Order ◽

Sliding Mode ◽

Second Order ◽

Sliding Mode Controller ◽

Optimal Interval ◽

Interval Type ◽

Twisting Algorithm ◽

Second Order Sliding Mode

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Synchronization of uncertain fractional order chaotic systems via adaptive interval type-2 fuzzy sliding mode control

2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011) ◽

10.1109/fuzzy.2011.6007354 ◽

2011 ◽

Author(s):

Tsung-Chih Lin ◽

Valentina Emilia Balas ◽

Tun-Yuan Lee

Keyword(s):

Sliding Mode Control ◽

Fractional Order ◽

Chaotic Systems ◽

Sliding Mode ◽

Fuzzy Sliding Mode Control ◽

Mode Control ◽

Fuzzy Sliding Mode ◽

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Hybrid adaptive interval type-2 fuzzy sliding mode controller for chaos synchronization of uncertain chaotic systems

2010 International Symposium on Computer, Communication, Control and Automation (3CA) ◽

10.1109/3ca.2010.5533757 ◽

2010 ◽

Author(s):

Tsung-Chih Lin ◽

Ming-Che Chen

Keyword(s):

Chaos Synchronization ◽

Chaotic Systems ◽

Sliding Mode ◽

Sliding Mode Controller ◽

Fuzzy Sliding Mode ◽

Uncertain Chaotic Systems ◽

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An Adaptive neuro-fuzzy backstepping sliding mode controller for finite time stabilization of fractional-order uncertain chaotic systems with time-varying delays

International Journal of Machine Learning and Cybernetics ◽

10.1007/s13042-021-01286-9 ◽

2021 ◽

Author(s):

Mehdi Dalir ◽

Nooshin Bigdeli

Keyword(s):

Fractional Order ◽

Finite Time ◽

Chaotic Systems ◽

Sliding Mode ◽

Sliding Mode Controller ◽

Time Varying ◽

Neuro Fuzzy ◽

Uncertain Chaotic Systems ◽

Finite Time Stabilization

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Design of sliding mode controller for a class of fractional-order chaotic systems

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2011.04.024 ◽

2012 ◽

Vol 17 (1) ◽

pp. 356-366 ◽

Author(s):

Chun Yin ◽

Shou-ming Zhong ◽

Wu-fan Chen

Keyword(s):

Fractional Order ◽

Chaotic Systems ◽

Sliding Mode ◽

Sliding Mode Controller

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Lag-synchronization of two different fractional-order time-delayed chaotic systems using fractional adaptive sliding mode controller

International Journal of Dynamics and Control ◽

10.1007/s40435-020-00628-9 ◽

2020 ◽

Author(s):

Paknosh Karimaghaee ◽

Zahra Rashidnejad Heydari

Keyword(s):

Fractional Order ◽

Chaotic Systems ◽

Sliding Mode ◽

Sliding Mode Controller ◽

Lag Synchronization ◽

Adaptive Sliding Mode ◽

Adaptive Sliding Mode Controller

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Interval type-2 TSK nominal-fuzzy-model-based sliding mode controller design for flexible air-breathing hypersonic vehicles

2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE) ◽

10.1109/fuzz-ieee.2017.8015601 ◽

2017 ◽

Author(s):

Junlong Gao ◽

Jianqiang Yi ◽

Zhiqiang Pu ◽

Chengdong Li

Keyword(s):

Controller Design ◽

Sliding Mode ◽

Fuzzy Model ◽

Hypersonic Vehicles ◽

Sliding Mode Controller ◽

Air Breathing ◽

Model Based ◽

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

Nonlinear Dynamics ◽

10.1007/s11071-010-9939-4 ◽

2011 ◽

Vol 66 (4) ◽

pp. 667-680 ◽

Author(s):

Mehdi Roopaei ◽

Mansoor Zolghadri Jahromi ◽

Bijan Ranjbar-Sahraei ◽

Tsung-Chih Lin

Keyword(s):

Sliding Mode Control ◽

Chaotic Systems ◽

Sliding Mode ◽

Fuzzy Sliding Mode Control ◽

Mode Control ◽

Fuzzy Sliding Mode ◽

Interval Type ◽

Different Chaotic Systems

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Design an adaptive sliding mode controller for drive-response synchronization of two different uncertain fractional-order chaotic systems with fully unknown parameters

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2012.09.009 ◽

2012 ◽

Vol 349 (10) ◽

pp. 3078-3101 ◽

Author(s):

Chun Yin ◽

Sara Dadras ◽

Shou-ming Zhong

Keyword(s):

Fractional Order ◽

Chaotic Systems ◽

Sliding Mode ◽

Sliding Mode Controller ◽

Unknown Parameters ◽

Adaptive Sliding Mode ◽

Adaptive Sliding Mode Controller

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Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems

Advances in Mathematical Physics ◽

10.1155/2018/3545083 ◽

2018 ◽

Vol 2018 ◽

pp. 1-9 ◽

Author(s):

Chenhui Wang

Keyword(s):

Fractional Order ◽

Chaotic Systems ◽

Sliding Mode ◽

Sufficient Conditions ◽

Synchronization Error ◽

Sliding Mode Controller ◽

Sliding Surface ◽

Numerical Examples ◽

Mode Synchronization ◽

Fractional Order Integral

Some sufficient conditions, which are valid for stability check of fractional-order nonlinear systems, are given in this paper. Based on these results, the synchronization of two fractional-order chaotic systems is investigated. A novel fractional-order sliding surface, which is composed of a synchronization error and its fractional-order integral, is introduced. The asymptotical stability of the synchronization error dynamical system can be guaranteed by the proposed fractional-order sliding mode controller. Finally, two numerical examples are given to show the feasibility of the proposed methods.

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