Relevant bibliographies by topics / Fractional Order Systems

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Fractional Order Systems'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Fractional Order Systems"

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Ping, Zhou, Cheng Yuan-Ming, and Kuang Fei. "Synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems)." Chinese Physics B 19, no. 9 (2010): 090503. http://dx.doi.org/10.1088/1674-1056/19/9/090503.

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Ortigueira, Manuel D., Duarte Valério, and J. Tenreiro Machado. "Variable order fractional systems." Communications in Nonlinear Science and Numerical Simulation 71 (June 2019): 231–43. http://dx.doi.org/10.1016/j.cnsns.2018.12.003.

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Li, Tianzeng, Yu Wang, and Yong Yang. "Synchronization of Fractional-Order Hyperchaotic Systems via Fractional-Order Controllers." Discrete Dynamics in Nature and Society 2014 (2014): 1–14. http://dx.doi.org/10.1155/2014/408972.

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In this paper, the synchronization of fractional-order chaotic systems is studied and a new fractional-order controller for hyperchaos synchronization is presented based on the Lyapunov stability theory. The proposed synchronized method can be applied to an arbitrary four-dimensional fractional hyperchaotic system. And we give the optimal value of control parameters to achieve synchronization of fractional hyperchaotic system. This approach is universal, simple, and theoretically rigorous. Numerical simulations of several fractional-order hyperchaotic systems demonstrate the universality and t
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Wang, Chenhui. "Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems." Advances in Mathematical Physics 2018 (2018): 1–9. http://dx.doi.org/10.1155/2018/3545083.

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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 met
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Luo, Ying, Yang Quan Chen, Chun Yang Wang, and You Guo Pi. "Tuning fractional order proportional integral controllers for fractional order systems." Journal of Process Control 20, no. 7 (2010): 823–31. http://dx.doi.org/10.1016/j.jprocont.2010.04.011.

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Li, Yan, YangQuan Chen, and Hyo-Sung Ahn. "Fractional-order iterative learning control for fractional-order linear systems." Asian Journal of Control 13, no. 1 (2010): 54–63. http://dx.doi.org/10.1002/asjc.253.

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Hu, Jian-Bing, and Ling-Dong Zhao. "Finite-Time Synchronizing Fractional-Order Chaotic Volta System with Nonidentical Orders." Mathematical Problems in Engineering 2013 (2013): 1–4. http://dx.doi.org/10.1155/2013/264136.

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We investigate synchronizing fractional-order Volta chaotic systems with nonidentical orders in finite time. Firstly, the fractional chaotic system with the same structure and different orders is changed to the chaotic systems with identical orders and different structure according to the property of fractional differentiation. Secondly, based on the lemmas of fractional calculus, a controller is designed according to the changed fractional chaotic system to synchronize fractional chaotic with nonidentical order in finite time. Numerical simulations are performed to demonstrate the effectivene
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Vafaei, Vajiheh, Hossein Kheiri, and Aliasghar Jodayree Akbarfam. "‎S‎ynchronization ‎of‎ different ‎dimensions‎ ‎fractional-‎order chaotic ‎systems with uncertain‎‎ ‎ parameters ‎and ‎secure ‎communication‎‎‎‎‎." Boletim da Sociedade Paranaense de Matemática 39, no. 5 (2021): 57–72. http://dx.doi.org/10.5269/bspm.41252.

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In ‎this ‎paper, ‎an‎ adaptive ‎modified‎ function projective synchronization (‎AM‎FPS) ‎scheme‎ ‎of ‎different ‎dimensions‎‎ ‎fractional-‎order ‎chaotic systems with ‎fully ‎unknown parameters is ‎presented‎. ‎On the basis of ‎fractional‎ Lyapunov stability ‎theory ‎and adaptive control law‎,‎ a‎ ‎new‎ fractional-order controller ‎and‎ suitable ‎‎‎‎update ‎rules‎ for unknown parameters are ‎designed‎‎ to realize the ‎AMFPS‎ of different ‎fractional-‎order chaotic systems with ‎non-‎identical ‎orders ‎and different dimensions‎‎. ‎‎Theoretical analysis and numerical simulations are given to ver
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N’Doye, Ibrahima, Mohamed Darouach, Holger Voos, and Michel Zasadzinski. "Design of unknown input fractional-order observers for fractional-order systems." International Journal of Applied Mathematics and Computer Science 23, no. 3 (2013): 491–500. http://dx.doi.org/10.2478/amcs-2013-0037.

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Abstract This paper considers a method of designing fractional-order observers for continuous-time linear fractional-order systems with unknown inputs. Conditions for the existence of these observers are given. Sufficient conditions for the asymptotical stability of fractional-order observer errors with the fractional order α satisfying 0 < α < 2 are derived in terms of linear matrix inequalities. Two numerical examples are given to demonstrate the applicability of the proposed approach, where the fractional order α belongs to 1≤α<2 and 0<α≤1, respectively. A stability analysis of
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Bohdan, Kopchak, Marushchak Yaroslav, and Kushnir Andrii. "DEVISING A PROCEDURE FOR THE SYNTHESIS OF ELECTROMECHANICAL SYSTEMS WITH CASCADE-ENABLED FRACTIONAL-ORDER CONTROLLERS AND THEIR STUDY." Eastern-European Journal of Enterprise Technologies 5, no. 2 (101) (2019): 65–71. https://doi.org/10.15587/1729-4061.2019.177320.

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An approach to the synthesis of automatic control circuits has been proposed, based on a fractional characteristic polynomial, which makes it possible to ensure the desired quality of a transition process under condition for implementing a certain structure of the fractional controller, which depends on the transfer function of a control object. The use of fractional desirable forms extends the range of possible settings of fractional-order controllers in the synthesis of circuits for electrical-mechanical systems, ensures better quality of transients compared to the full-order controllers, an
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Dissertations / Theses on the topic "Fractional Order Systems"

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Pappalardo, Fulvio Livio. "Fractional Order Systems:PID Controller Design and Fractional Order Element Modeling." Doctoral thesis, Università di Catania, 2015. http://hdl.handle.net/10761/3989.

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This research thesis within the XXVI Ph.D. Course in Systems Engineering is centered on Fractional, or also noticed as Non-Integer Order, Systems. The Ph.D. Thesis' purpose is to present the auto-tuning procedure of Fractional Order PID Controllers PID proposing also a future implementation via fractional order elements. The Thesis is organized in four chapters to outline the different research activity phases developed during the Ph.D. course. In the Chapter 1 an overview on Fractional Order Systems is presented. The Chapter 2 focuses on the auto-tuning procedure proposed for Non-Integer Orde
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Adams, Jay L. "Hankel Operators for Fractional-Order Systems." University of Akron / OhioLINK, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=akron1248198109.

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Wei, Xing. "Non-asymptotic method estimation and applications for fractional order systems." Thesis, Bourges, INSA Centre Val de Loire, 2017. http://www.theses.fr/2017ISAB0003/document.

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Cette thèse vise à concevoir des estimateurs non-asymptotiques et robustes pour les systèmes linéaires d’ordre fractionnaire dans un environnement bruité. Elle traite une classe des systèmes linéaires d’ordre fractionnaire modélisée par la dite pseudo représentation d’état avec des conditions initiales inconnues. Elle suppose également que les systèmes étudiés ici peuvent être transformés sous la forme canonique de Brunovsky. Pour estimer le pseudo-état, la forme précédente est transformée en une équation différentielle linéaire d’ordre fractionnaire en prenant en compte les valeurs initiales
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Malek, Hadi. "Control of Grid-Connected Photovoltaic Systems Using Fractional Order Operators." DigitalCommons@USU, 2014. https://digitalcommons.usu.edu/etd/2157.

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This work presents a new control strategy using fractional order operators in threephase grid-connected photovoltaic generation systems with unity power factor for any situation of solar radiation. The modeling of the space vector pulse width modulation inverter and fractional order control strategy using Park’s transformation are proposed. The system is able to compensate harmonic components and reactive power generated by the loads connected to the system. A fractional order extremum seeking control and “Bode’s ideal cut-off extremum seeking control” are proposed to control the power between
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Jiang, Xin. "A Systematic Approach for Digital Hardware Realization of Fractional-Order Operators and Systems." University of Akron / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=akron1386649994.

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Aburakhis, Mohamed Khalifa I. Dr. "Continuous Time and Discrete Time Fractional Order Adaptive Control for a Class of Nonlinear Systems." University of Dayton / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=dayton1565018404845161.

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Kulkarni, Nachiket Ashok. "Effects of manufacturing conditions, stresses, temperature and humidity on the performance of an innovative fractional order control device." Thesis, Montana State University, 2005. http://etd.lib.montana.edu/etd/2005/kulkarni/KulkarniN1205.pdf.

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Weise, Christoph [Verfasser], Michael Akademischer Betreuer] Rudermann, Paolo [Akademischer Betreuer] Mercorelli, and Johann [Gutachter] [Reger. "Applications of equivalent representations of fractional- and integer-order linear time-invariant systems / Christoph Weise ; Gutachter: Johann Reger ; Michael Rudermann, Paolo Mercorelli." Ilmenau : TU Ilmenau, 2021. http://d-nb.info/1227188722/34.

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Kuzminskas, Hadamez. "Controle robusto chaveado de sistemas lineares e não lineares de ordem fracionária /." Ilha Solteira, 2018. http://hdl.handle.net/11449/154434.

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Orientador: Marcelo Carvalho Minhoto Teixeira<br>Resumo: Neste trabalho apresentam-se condições descritas por desigualdades matriciais lineares, LMIs (do inglês: Linear Matrix Inequalities), para o projeto de controladores robustos para sistemas dinâmicos de ordem α ∈ [0,1). Os controladores propostos utilizam a realimentação da derivada de ordem α ∈ [0,1) do vetor de estado, a chamada realimentação α-derivativa, e também a realimentação do vetor de estado. A literatura clássica apresenta resultados que utilizam o método direto de Lyapunov e a estabilização quadrática no projeto de controlador
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Tenoutit, Mammar. "Définition et réglage de correcteurs robustes d'ordre fractionnaire." Thesis, Poitiers, 2013. http://www.theses.fr/2013POIT2268.

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Les applications du calcul fractionnaire en automatique se sont considérablement développées ces dernières années, surtout en commande robuste. Ce mémoire est une contribution à la commande robuste des systèmes d'ordre entier à l'aide d'un correcteur PID d'ordre fractionnaire.Le conventionnel régulateur PID, unanimement apprécié pour le contrôle des processus industriels, a été adapté au cas fractionnaire sous la forme PInDf grâce à l'introduction d'un modèle de référence d'ordre non entier, réputé pour sa robustesse vis-à-vis des variations du gain statique.Cette nouvelle structure a été éten
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Books on the topic "Fractional Order Systems"

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Petráš, Ivo. Fractional-Order Nonlinear Systems. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-18101-6.

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Monje, Concepción A., YangQuan Chen, Blas M. Vinagre, Dingyü Xue, and Vicente Feliu. Fractional-order Systems and Controls. Springer London, 2010. http://dx.doi.org/10.1007/978-1-84996-335-0.

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Bingi, Kishore, Rosdiazli Ibrahim, Mohd Noh Karsiti, Sabo Miya Hassan, and Vivekananda Rajah Harindran. Fractional-order Systems and PID Controllers. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-33934-0.

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Pan, Indranil, and Saptarshi Das. Intelligent Fractional Order Systems and Control. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-31549-7.

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Naifar, Omar, and Abdellatif Ben Makhlouf, eds. Fractional Order Systems—Control Theory and Applications. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-71446-8.

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Caponetto, R. Fractional order systems: Modeling and control applications. World Scientific, 2010.

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Kao, Yonggui, Changhong Wang, Hongwei Xia, and Yue Cao. Analysis and Control for Fractional-order Systems. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-6054-5.

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Chakraverty, Snehashish, Rajarama Mohan Jena, and Subrat Kumar Jena. Time-Fractional Order Biological Systems with Uncertain Parameters. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-031-02423-8.

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Tepljakov, Aleksei. Fractional-order Modeling and Control of Dynamic Systems. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52950-9.

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Azar, Ahmad Taher, Sundarapandian Vaidyanathan, and Adel Ouannas, eds. Fractional Order Control and Synchronization of Chaotic Systems. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-50249-6.

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Book chapters on the topic "Fractional Order Systems"

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Petráš, Ivo. "Fractional-Order Systems." In Fractional-Order Nonlinear Systems. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-18101-6_3.

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Petráš, Ivo. "Fractional Calculus." In Fractional-Order Nonlinear Systems. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-18101-6_2.

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Petráš, Ivo. "Fractional-Order Chaotic Systems." In Fractional-Order Nonlinear Systems. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-18101-6_5.

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Ren, Wei, and Yongcan Cao. "Networked Fractional-order Systems." In Communications and Control Engineering. Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-169-1_7.

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Sabatier, J., C. Farges, and A. Oustaloup. "Fractional Order Models." In Intelligent Systems, Control and Automation: Science and Engineering. Springer Netherlands, 2015. http://dx.doi.org/10.1007/978-94-017-9807-5_1.

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Sabatier, Jocelyn, Christophe Farges, and Vincent Tartaglione. "Fractional Order Models." In Intelligent Systems, Control and Automation: Science and Engineering. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-96749-9_3.

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Xue, Dingyü, and Lu Bai. "Approximations of Fractional-Order Operators and Systems." In Fractional Calculus. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-2070-9_5.

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Petráš, Ivo. "Stability of Fractional-Order Systems." In Fractional-Order Nonlinear Systems. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-18101-6_4.

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Petráš, Ivo. "Control of Fractional-Order Chaotic Systems." In Fractional-Order Nonlinear Systems. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-18101-6_6.

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Petráš, Ivo. "Introduction." In Fractional-Order Nonlinear Systems. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-18101-6_1.

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Conference papers on the topic "Fractional Order Systems"

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El-Khazali, Reyad. "Fractional-Order Digital Filters of Complex Orders." In 2024 IEEE 67th International Midwest Symposium on Circuits and Systems (MWSCAS). IEEE, 2024. http://dx.doi.org/10.1109/mwscas60917.2024.10658871.

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Kong, Jie, and Bo Zhao. "Optimal Control for Fractional-Order Nonlinear Systems Using Fractional-Order Online Policy Iteration." In 2024 43rd Chinese Control Conference (CCC). IEEE, 2024. http://dx.doi.org/10.23919/ccc63176.2024.10662444.

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Li, Jiachen, Tong Guo, Wenqiang Xia, et al. "Design and Implementation of Fractional-Order PI Control for Fractional-Order Optical Communication Systems." In 2024 China Automation Congress (CAC). IEEE, 2024. https://doi.org/10.1109/cac63892.2024.10864912.

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Krishnan, Geethi, and Vivek Agarwal. "Fractional Order Relaxation Model for Supercapacitors." In 2024 IEEE International Conference on Power Electronics, Drives and Energy Systems (PEDES). IEEE, 2024. https://doi.org/10.1109/pedes61459.2024.10961893.

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"CRONE OBSERVER - Definition and Design Methodology." In Fractional Order Systems. SciTePress - Science and and Technology Publications, 2007. http://dx.doi.org/10.5220/0001637404210429.

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"SOLUTION OF THE FUNDAMENTAL LINEAR FRACTIONAL ORDER DIFFERENTIAL EQUATION." In Fractional Order Systems. SciTePress - Science and and Technology Publications, 2007. http://dx.doi.org/10.5220/0001634004070413.

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"ROBUST ADAPTIVE CONTROL USING A FRACTIONAL FEEDFORWARD BASED ON SPR CONDITION." In Fractional Order Systems. SciTePress - Science and and Technology Publications, 2007. http://dx.doi.org/10.5220/0001636904140420.

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"Fractional-order systems." In Second IEEE International Conference on Computational Cybernetics, 2004. ICCC 2004. IEEE, 2004. http://dx.doi.org/10.1109/icccyb.2004.1437743.

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Dadras, Sara, and Hamid Reza Momeni. "A New Fractional Order Observer Design for Fractional Order Nonlinear Systems." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48861.

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In this paper, a class of fractional order systems is considered and simple fractional order observers have been proposed to estimate the system’s state variables. By introducing a fractional calculus into the observer design, the developed fractional order observers guarantee the estimated states reach the original system states. Using the fractional order Lyapunov approach, the stability (zero convergence) of the error system is investigated. Finally, the simulation results demonstrate validity and effectiveness of the proposed scheme.
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LI, Zong-yang, Yi-heng WEI, Jiachang WANG, Ang LI, Jianli WANG, and Yong WANG. "Fractional-order ADRC framework for fractional-order parallel systems." In 2020 39th Chinese Control Conference (CCC). IEEE, 2020. http://dx.doi.org/10.23919/ccc50068.2020.9189032.

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Reports on the topic "Fractional Order Systems"

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Melanie, Haupt, and Hellweg Stefanie. Synthesis of the NRP 70 joint project “Waste management to support the energy turnaround (wastEturn)”. Swiss National Science Foundation (SNSF), 2020. http://dx.doi.org/10.46446/publication_nrp70_nrp71.2020.2.en.

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A great deal of energy can be sourced both directly and indirectly from waste. For example, municipal waste with an energy content of around 60 petajoules is incinerated in Switzerland every year. The energy recovered directly from this waste covers around 4 % of the Swiss energy demand. However, the greatest potential offered by waste management lies in the recovery of secondary raw materials during the recycling process, thus indirectly avoiding the energy-intensive production of primary raw materials. In order to optimise the contribution to the energy turnaround made by waste management, a
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Lahav, Ori, Albert Heber, and David Broday. Elimination of emissions of ammonia and hydrogen sulfide from confined animal and feeding operations (CAFO) using an adsorption/liquid-redox process with biological regeneration. United States Department of Agriculture, 2008. http://dx.doi.org/10.32747/2008.7695589.bard.

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The project was originally aimed at investigating and developing new efficient methods for cost effective removal of ammonia (NH₃) and hydrogen sulfide (H₂S) from Concentrated Animal Feeding Operations (CAFO), in particular broiler and laying houses (NH₃) and hog houses (H₂S). In both cases, the principal idea was to design and operate a dedicated air collection system that would be used for the treatment of the gases, and that would work independently from the general ventilation system. The advantages envisaged: (1) if collected at a point close to the source of generation, pollutants would
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Friedman, Shmuel, Jon Wraith, and Dani Or. Geometrical Considerations and Interfacial Processes Affecting Electromagnetic Measurement of Soil Water Content by TDR and Remote Sensing Methods. United States Department of Agriculture, 2002. http://dx.doi.org/10.32747/2002.7580679.bard.

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Time Domain Reflectometry (TDR) and other in-situ and remote sensing dielectric methods for determining the soil water content had become standard in both research and practice in the last two decades. Limitations of existing dielectric methods in some soils, and introduction of new agricultural measurement devices or approaches based on soil dielectric properties mandate improved understanding of the relationship between the measured effective permittivity (dielectric constant) and the soil water content. Mounting evidence indicates that consideration must be given not only to the volume frac
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Buesseler, Buessele, Daniele Bianchi, Fei Chai, et al. Paths forward for exploring ocean iron fertilization. Woods Hole Oceanographic Institution, 2023. http://dx.doi.org/10.1575/1912/67120.

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We need a new way of talking about global warming. UN Secretary General António Guterres underscored this when he said the “era of global boiling” has arrived. Although we have made remarkable progress on a very complex problem over the past thirty years, we have a long way to go before we can keep the global temperature increase to below 2°C relative to the pre-industrial times. Climate models suggest that this next decade is critical if we are to avert the worst consequences of climate change. The world must continue to reduce greenhouse gas emissions, and find ways to adapt and build resili
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