Control Techniques for a Class of Fractional Order Systems

Mircea Ivanescu, Ioan Dumitrache, Nirvana Popescu and Decebal Popescu
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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

Mathematics, 2021, vol. 9, issue 19, 1-17

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.

Keywords: stability; frequency criterion; closed loop control; exoskeleton glove model; disabled man model (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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