Review, design, stabilization and synchronization of fractional-order energy resources demand-supply hyperchaotic systems using fractional-order PD-based feedback control scheme

• Autorzy: Soukkou Ammar , Soukkou Yassine , Haddad Sofiane , Benghanem Mohamed , Rabhi Abdelhamid

Identyfikatory

DOI

10.24425/acs.2023.146957

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

fractional-order systems; fractional-order control; Lyapunov stability theory; multiobjective optimization; artificial hummingbird algorithm; stabilization; synchronization; energy resources demand-dupply systems

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2023
• Tom: Vol. 33, No. 3
• Strony: 539--563
• Opis fizyczny: Bibliogr. 63 poz., rys., tab., wzory

Twórcy

autor

Soukkou Ammar

• Renewable Energy Laboratory, Faculty of Science and Technology, Department of Electronics, University of MSBY Jijel, BP. 98, Ouled Aissa, Jijel, Algeria

• https://orcid.org/0000-0002-5753-8982

autor

Soukkou Yassine

• Research Center in Industrial Technologies CRTI, P. O. Box. 64, Cheraga 16014, Algiers, Algeria

• https://orcid.org/0000-0002-1865-8834

autor

Haddad Sofiane

• Renewable Energy Laboratory, Faculty of Science and Technology, Department of Electronics, University of MSBY Jijel, BP. 98, Ouled Aissa, Jijel, Algeria

• https://orcid.org/0000-0001-5768-1335

autor

Benghanem Mohamed

• Physics Department, Faculty of Science, Islamic University of Madinah, Madinah, KSA

• https://orcid.org/0000-0002-2527-8741

autor

Rabhi Abdelhamid

• Modeling, Information and Systems Laboratory, University of Picardie Jules Verne, Amiens, France

• https://orcid.org/0000-0003-1570-3262

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