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 …

An SOC estimation approach based on adaptive sliding mode observer and fractional order equivalent circuit model for lithium-ion batteries

F Zhong, H Li, S Zhong, Q Zhong, C Yin - Communications in Nonlinear …, 2015 - Elsevier
A state of charge (SOC) estimation approach based on an adaptive sliding mode observer
(SMO) and a fractional order equivalent circuit model (FOECM) for lithium-ion batteries is …

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 …

State of charge estimation of lithium-ion batteries using fractional order sliding mode observer

Q Zhong, F Zhong, J Cheng, H Li, S Zhong - ISA transactions, 2017 - Elsevier
This paper presents a state of charge (SOC) estimation method based on fractional order
sliding mode observer (SMO) for lithium-ion batteries. A fractional order RC equivalent …

Linear matrix inequalities design approach for robust stabilization of uncertain nonlinear systems with perturbation based on optimally-tuned global sliding mode …

S Mobayen, D Baleanu - Journal of Vibration and control, 2017 - journals.sagepub.com
This paper presents a novel global sliding mode control technique for the stabilization of a
class of uncertain and nonlinear dynamic systems with perturbation. Using the Lyapunov …

Robust finite-time synchronization of non-identical fractional-order hyperchaotic systems and its application in secure communication

H Delavari, M Mohadeszadeh - IEEE/CAA Journal of …, 2016 - ieeexplore.ieee.org
This paper proposes a novel adaptive sliding mode control (SMC) method for
synchronization of non-identical fractional-order (FO) chaotic and hyper-chaotic systems …

On fractional model reference adaptive control

B Shi, J Yuan, C Dong - The Scientific World Journal, 2014 - Wiley Online Library
This paper extends the conventional Model Reference Adaptive Control systems to
fractional ones based on the theory of fractional calculus. A control law and an …

Complete synchronization and partial anti-synchronization of complex Lü chaotic systems by the UDE-based control method

Z Wang, C Song, A Yan, G Wang - Symmetry, 2022 - mdpi.com
The presence of uncertainty and disturbance can lead to asymmetric control of nonlinear
systems, and this asymmetric control can lead to a decrease in the productivity of the …

Synchronization of fractional-order hyper-chaotic systems based on a new adaptive sliding mode control

M Mohadeszadeh, H Delavari - International Journal of Dynamics and …, 2017 - Springer
In this paper, a novel adaptive sliding mode approach for synchronization of fractional-order
identical and non-identical chaotic and hyper-chaotic systems is proposed. The effects of …

Stabilization of fractional-order systems subject to saturation element using fractional dynamic output feedback sliding mode control

ESA Shahri, A Alfi… - Journal of …, 2017 - asmedigitalcollection.asme.org
This paper addresses the design of a robust fractional-order dynamic output feedback
sliding mode controller (FDOF-SMC) for a general class of uncertain fractional systems …