[HTML][HTML] Fractional Newton mechanics with conformable fractional derivative

WS Chung - Journal of computational and applied mathematics, 2015 - Elsevier
In this paper we use the conformable fractional derivative and integral to discuss the
fractional Newtonian mechanics. The fractional version of the calculus of variations is …

Fuzzy approximation-based fractional-order nonsingular terminal sliding mode controller for DC–DC buck converters

B Babes, S Mekhilef, A Boutaghane… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
This article presents a simple and systematic approach to synthesize a robust adaptive fuzzy
fractional-order nonsingular terminal sliding mode controller (AFFO-NTSMC) to improve the …

[图书][B] Computational methods in the fractional calculus of variations

R Almeida, S Pooseh, DFM Torres - 2015 - books.google.com
This book fills a gap in the literature by introducing numerical techniques to solve problems
of fractional calculus of variations (FCV). In most cases, finding the analytic solution to such …

[HTML][HTML] Control and switching synchronization of fractional order chaotic systems using active control technique

AG Radwan, K Moaddy, KN Salama, S Momani… - Journal of advanced …, 2014 - Elsevier
This paper discusses the continuous effect of the fractional order parameter of the Lü system
where the system response starts stable, passing by chaotic behavior then reaching periodic …

Fractional order controller design for a flexible link manipulator robot

H Delavari, P Lanusse, J Sabatier - Asian Journal of Control, 2013 - Wiley Online Library
In this paper a novel controller for a flexible link manipulator based on fractional calculus is
proposed. A hybrid system that combines the advantages in terms of robustness of the …

Fractional order nonlinear systems with delay in iterative learning control

L Yan, J Wei - Applied Mathematics and Computation, 2015 - Elsevier
In this paper, we discuss a P-type iterative learning control (ILC) scheme for a class of
fractional-order nonlinear systems with delay. By introducing the λ-norm and using Gronwall …

Adaptive output feedback fuzzy event-triggered control for fractional-order nonlinear switched systems

L Tang, K He, YJ Liu - IEEE Transactions on Fuzzy Systems, 2023 - ieeexplore.ieee.org
This study examined the control problem triggered by an adaptive fuzzy event for uncertain
fractional-order switched systems. First, an observer was designed to estimate unknown …

Learning formation control for fractional‐order multiagent systems

D Luo, JR Wang, D Shen - Mathematical Methods in the …, 2018 - Wiley Online Library
In this paper, we use 2 iterative learning control schemes (P‐type and PI‐type) with an initial
learning rule to achieve the formation control of linear fractional‐order multiagent systems …

A survey on fractional-order iterative learning control

Y Li, YQ Chen, HS Ahn, G Tian - Journal of Optimization Theory and …, 2013 - Springer
In this paper, an overview of fractional-order iterative learning control (FOILC) is presented
including main developments of this field since 2001. Many theoretical and experimental …

[HTML][HTML] On the iterative learning control for stochastic impulsive differential equations with randomly varying trial lengths

S Liu, A Debbouche, JR Wang - Journal of Computational and Applied …, 2017 - Elsevier
In this paper, a new class of stochastic impulsive differential equations involving Bernoulli
distribution is introduced. For tracking the random discontinuous trajectory, a modified …