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Control Techniques for a Class of Fractional Order Systems

Author

Listed:
  • Mircea Ivanescu

    (Department of Mechatronics, University of Craiova, 200585 Craiova, Romania)

  • Ioan Dumitrache

    (Department of Automation, University Politehnica of Bucharest, 060042 București, Romania)

  • Nirvana Popescu

    (Department of Computer Science, University Politehnica of Bucharest, 060042 București, Romania)

  • Decebal Popescu

    (Department of Computer Science, University Politehnica of Bucharest, 060042 București, Romania)

Abstract

The paper discusses several control techniques for a class of systems described by fractional order equations. The paper presents the unit frequency criteria that ensure the closed loop control for: Fractional Order Linear Systems, Fractional Order Linear Systems with nonlinear components, Time Delay Fractional Order Linear Systems, Time Delay Fractional Order Linear Systems with nonlinear components. The stability criterion is proposed for the systems composed of fractional order subsystems. These techniques are used in two applications: Soft Exoskeleton Glove Control, studied as a nonlinear model with time delay and Disabled Man-Wheelchair model, analysed as a fractional-order multi-system.

Suggested Citation

  • Mircea Ivanescu & Ioan Dumitrache & Nirvana Popescu & Decebal Popescu, 2021. "Control Techniques for a Class of Fractional Order Systems," Mathematics, MDPI, vol. 9(19), pages 1-17, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:19:p:2357-:d:641326
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    References listed on IDEAS

    as
    1. Christophe Tricaud & YangQuan Chen, 2010. "Time-Optimal Control of Systems with Fractional Dynamics," International Journal of Differential Equations, Hindawi, vol. 2010, pages 1-16, February.
    2. Zhijie Li & Jie Ding & Min Wu & Jinxing Lin, 2021. "Discrete fractional order PID controller design for nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(15), pages 3206-3213, November.
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