Control and synchronization of fractional‐order chaotic satellite systems using feedback and adaptive control techniques

S Kumar, AE Matouk, H Chaudhary… - International Journal of …, 2021 - Wiley Online Library
In this article, we present the basic concepts of fractional calculus and control and
synchronization of fractional‐order chaotic satellite system. Existence and uniqueness …

A new fractional sliding mode controller based on nonlinear fractional-order proportional integral derivative controller structure to synchronize fractional-order chaotic …

SZ Mirrezapour, A Zare… - Journal of Vibration and …, 2022 - journals.sagepub.com
This study presents a new fractional sliding mode controller based on nonlinear fractional-
order proportional integral derivative controllers to synchronize fractional-order chaotic …

A fractional adaptive sliding mode control configuration for synchronizing disturbed fractional-order chaotic systems

K Rabah, S Ladaci - Circuits, systems, and signal processing, 2020 - Springer
In the two last decades, several research works proposed adaptive sliding mode control
(SMC) algorithms to deal with fractional-order chaotic systems for control and …

An ADRC-based backstepping control design for a class of fractional-order systems

F Doostdar, H Mojallali - ISA transactions, 2022 - Elsevier
A combined fractional tracking controller based on backstepping and active disturbance
rejection control (ADRC) is proposed in this work to control uncertain fractional-order …

Sliding mode control for a class of variable-order fractional chaotic systems

J Jiang, D Cao, H Chen - Journal of the Franklin Institute, 2020 - Elsevier
This paper concerns the stability analysis and controller design for a class of variable order
fractional chaotic systems. By use of Fractional Comparison Principle, the Mittag–Leffler …

Synchronization of fractional‐order chaotic systems with disturbances via novel fractional‐integer integral sliding mode control and application to neuron models

V Vafaei, H Kheiri, AJ Akbarfam - Mathematical Methods in the …, 2019 - Wiley Online Library
In this paper, a novel fractional‐integer integral type sliding mode technique for control and
generalized function projective synchronization of different fractional‐order chaotic systems …

Second‐order predefined‐time sliding‐mode control of fractional‐order systems

AJ Muñoz‐Vázquez, JD Sánchez‐Torres… - Asian Journal of …, 2022 - Wiley Online Library
This paper presents a predefined‐time control of fractional‐order linear system subject to a
large class of continuous but not necessarily integer‐order differentiable disturbances. The …

Computations of synchronisation conditions in some fractional-order chaotic and hyperchaotic systems

A Al-Khedhairi, AE Matouk, SS Askar - Pramana, 2019 - Springer
A novel criterion for achieving synchronisation in fractional-order chaotic and hyperchaotic
systems is presented. Here, it is proved that the existence of a Lyapunov function in the …

Dynamical analysis of a new three-dimensional fractional chaotic system

P Gholamin, AHR Sheikhani - Pramana, 2019 - Springer
In the present paper, a new fractional chaotic system proposed by the authors is discussed.
Moreover, based on the stability theory of fractional-order systems, conditions for the stability …

Learning-based sliding mode synchronization for fractional-order Hindmarsh-Rose neuronal models with deterministic learning

D Chen, J Li, C Yuan, J He, W Zhu - Frontiers in Neuroscience, 2023 - frontiersin.org
Introduction In recent years, extensive research has been conducted on the synchronous
behavior of neural networks. It is found that the synchronization ability of neurons is related …