Review, design, stabilization and synchronization of fractional-order energy resources demand-supply hyperchaotic systems using Fractional-order PD-based Feedback Control scheme
This paper introduces a fractional-order PD approach (F-oPD) designed to control a large class of dynamical systems known as fractional-order chaotic systems (F-oCSs). The design process involves formulating an optimization problem to determine the parameters of the developed controller while satisf...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2023-09-01
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| Series: | Archives of Control Sciences |
| Subjects: | |
| Online Access: | https://journals.pan.pl/Content/128380/PDF/art03_int.pdf |
| _version_ | 1827815166091198464 |
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| author | Ammar Soukkou Yassine Soukkou Sofiane Haddad Mohamed Benghanem Abdelhamid Rabhi |
| author_facet | Ammar Soukkou Yassine Soukkou Sofiane Haddad Mohamed Benghanem Abdelhamid Rabhi |
| author_sort | Ammar Soukkou |
| collection | DOAJ |
| description | This paper introduces a fractional-order PD approach (F-oPD) designed to control a large class of dynamical systems known as fractional-order chaotic systems (F-oCSs). The design process involves formulating an optimization problem to determine the parameters of the developed controller while satisfying the desired performance criteria. The stability of the control loop is initially assessed using the Lyapunov’s direct method and the latest stability assumptions for fractional-order systems. Additionally, an optimization algorithm inspired by the flight skills and foraging behavior of hummingbirds, known as the Artificial Hummingbird Algorithm (AHA), is employed as a tool for optimization. To evaluate the effectiveness of the proposed design approach, the fractional-order energy resources demand-supply (Fo-ERDS) hyperchaotic system is utilized as an illustrative example. |
| first_indexed | 2024-03-11T23:57:21Z |
| format | Article |
| id | doaj.art-99efe8ab7ae34e598539a3013c0d8366 |
| institution | Directory Open Access Journal |
| issn | 1230-2384 |
| language | English |
| last_indexed | 2024-03-11T23:57:21Z |
| publishDate | 2023-09-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Control Sciences |
| spelling | doaj.art-99efe8ab7ae34e598539a3013c0d83662023-09-18T10:54:20ZengPolish Academy of SciencesArchives of Control Sciences1230-23842023-09-01vol. 33No 3https://doi.org/10.24425/acs.2023.146957Review, design, stabilization and synchronization of fractional-order energy resources demand-supply hyperchaotic systems using Fractional-order PD-based Feedback Control schemeAmmar Soukkou0Yassine Soukkou1Sofiane Haddad2Mohamed Benghanem3Abdelhamid Rabhi4Renewable Energy Laboratory, Faculty of Science and Technology, Department of Electronics, University of MSBY Jijel, BP. 98, Ouled Aissa, Jijel, AlgeriaResearch Center in Industrial Technologies CRTI, P. O. Box. 64, Cheraga 16014, Algiers, AlgeriaRenewable Energy Laboratory, Faculty of Science and Technology, Department of Electronics, University of MSBY Jijel, BP. 98, Ouled Aissa, Jijel, AlgeriaPhysics Department, Faculty of Science, Islamic University of Madinah, Madinah, KSAModeling, Information and Systems Laboratory, University of Picardie Jules Verne, Amiens, France.This paper introduces a fractional-order PD approach (F-oPD) designed to control a large class of dynamical systems known as fractional-order chaotic systems (F-oCSs). The design process involves formulating an optimization problem to determine the parameters of the developed controller while satisfying the desired performance criteria. The stability of the control loop is initially assessed using the Lyapunov’s direct method and the latest stability assumptions for fractional-order systems. Additionally, an optimization algorithm inspired by the flight skills and foraging behavior of hummingbirds, known as the Artificial Hummingbird Algorithm (AHA), is employed as a tool for optimization. To evaluate the effectiveness of the proposed design approach, the fractional-order energy resources demand-supply (Fo-ERDS) hyperchaotic system is utilized as an illustrative example.https://journals.pan.pl/Content/128380/PDF/art03_int.pdffractional-order systemsfractional-order controllyapunov stability theorymultiobjective optimizationartificial hummingbird algorithmstabilization and synchronizationenergy resources demand-dupply systems |
| spellingShingle | Ammar Soukkou Yassine Soukkou Sofiane Haddad Mohamed Benghanem Abdelhamid Rabhi Review, design, stabilization and synchronization of fractional-order energy resources demand-supply hyperchaotic systems using Fractional-order PD-based Feedback Control scheme Archives of Control Sciences fractional-order systems fractional-order control lyapunov stability theory multiobjective optimization artificial hummingbird algorithm stabilization and synchronization energy resources demand-dupply systems |
| title | Review, design, stabilization and synchronization of fractional-order energy resources demand-supply hyperchaotic systems using Fractional-order PD-based Feedback Control scheme |
| title_full | Review, design, stabilization and synchronization of fractional-order energy resources demand-supply hyperchaotic systems using Fractional-order PD-based Feedback Control scheme |
| title_fullStr | Review, design, stabilization and synchronization of fractional-order energy resources demand-supply hyperchaotic systems using Fractional-order PD-based Feedback Control scheme |
| title_full_unstemmed | Review, design, stabilization and synchronization of fractional-order energy resources demand-supply hyperchaotic systems using Fractional-order PD-based Feedback Control scheme |
| title_short | Review, design, stabilization and synchronization of fractional-order energy resources demand-supply hyperchaotic systems using Fractional-order PD-based Feedback Control scheme |
| title_sort | review design stabilization and synchronization of fractional order energy resources demand supply hyperchaotic systems using fractional order pd based feedback control scheme |
| topic | fractional-order systems fractional-order control lyapunov stability theory multiobjective optimization artificial hummingbird algorithm stabilization and synchronization energy resources demand-dupply systems |
| url | https://journals.pan.pl/Content/128380/PDF/art03_int.pdf |
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