Fractional order effects on solitary waves and chaotic regimes in the mKdV Burgers equation. [PDF]
Sci RepIslam MA, Rimu NN, Dey P.
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A hybrid Daubechies wavelet collocation approach for a fractional-order SIR epidemic model with delay effects. [PDF]
Sci RepSarkar N, Sen M.
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Design of modified fractional-order PID controller for lower limb rehabilitation exoskeleton robot based on an improved elk herd hybridized with grey wolf and multi-verse optimization algorithms. [PDF]
Front Robot AIMohammed Ali NS, Saleh MH, Abbas NH.
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Fractional-order PID control for elevation and azimuth in a twin rotor system. [PDF]
Sci RepWendimu AA +3 more
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Analysis of drug-resistant tuberculosis transmission dynamics in China using fractional stochastic model. [PDF]
PLoS OneJiang S, Wang H, Hu Y.
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Variable Order Fractional Controllers
Asian Journal of Control, 2012AbstractThis paper addresses variable order fractional controllers. Four situations where variable order fractional controllers may be used to cope with time‐varying plants are used as examples. In all cases a constant phase margin is sought, thus resulting in a constant overshoot in step responses, which is otherwise unattainable.
Valério, Duarte, Sá Da Costa, José
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Fractional‐order iterative learning control for fractional‐order linear systems
Asian Journal of Control, 2011AbstractIn this paper, we discuss in time domain the convergence of the iterative process for fractional‐order systems. Fractional order iterative learning updating schemes are considered. For the linear time invariant (LTI) system case, the convergence conditions of the fractional‐order and integer‐order iterative learning schemes are proved to be ...
Li, Yan, Chen, YangQuan, Ahn, Hyo-Sung
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Fractional-order inverse filters revisited: Equivalence with fractional-order controllers
Microelectronics Journal, 2023The equivalence of fractional-order inverse filters with fractional-order controllers is demonstrated in this work. This is achieved by appropriately rewriting the filters transfer functions in order to clarify the correspondence between the gain and time-constant of the filters and the scaling factor and differentiation/integration constant of the ...
Panagiotis Bertsias +4 more
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Fractional‐order Chebyshev wavelet method for variable‐order fractional optimal control problems
Mathematical Methods in the Applied Sciences, 2021A new alternative numerical method for solving variable‐order fractional optimal control problems (VO‐FOCPs) is introduced. We use fractional‐order Chebyshev wavelets for solving these VO‐FOCPs. By applying the regularized beta functions, an exact value for the fractional integration of the given wavelets is provided.
Ghodsieh Ghanbari, Mohsen Razzaghi
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Designing of Fractional Order PID Controller for Unstable Fractional Order System
2019 Joint International Conference on Digital Arts, Media and Technology with ECTI Northern Section Conference on Electrical, Electronics, Computer and Telecommunications Engineering (ECTI DAMT-NCON), 2019This paper proposes the fractional-order proportional-integral-derivative (FOPID or $\mathbf { P } \mathbf { I } ^ { \lambda } \mathbf { D } ^ { \mu }$) controller design optimization for a stable fractional order (FO) system by using the flower pollination algorithm (FPA), one of the most efficient metaheuristic optimization search techniques.
Boonruk Chipipop, Deacha Puangdownreong
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