• DocumentCode
    2083532
  • Title

    Controllability and minimum energy control of fractional systems

  • Author

    Klamka, Jerzy

  • Author_Institution
    Silesian University of Technology, Faculty of Automatic Control, Electronics and Computer Science, Institute of Automatic Control, 16 Akademicka Street, 44-101 Gliwice, Poland
  • fYear
    2015
  • fDate
    May 31 2015-June 3 2015
  • Firstpage
    1
  • Lastpage
    5
  • Abstract
    The main purpose of the paper is to discuss controllability problem for fractional systems. Also, the minimum energy control problem of infinite-dimensional fractional-discrete time linear systems is addressed. Moreover, the necessary and sufficient conditions for the exact controllability of the system are established. Sufficient conditions for the solvability of the minimum energy control of the infinite-dimensional fractional discrete-time systems are given. Finally, a procedure for computation of the optimal sequence of inputs minimizing the quadratic performance index is proposed.
  • Keywords
    Controllability; Delays; Linear systems; Performance analysis; Robots; Fractional infinite-dimensional discrete-time; controllability; linear system; minimum energy control;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ASCC), 2015 10th Asian
  • Conference_Location
    Kota Kinabalu, Malaysia
  • Type

    conf

  • DOI
    10.1109/ASCC.2015.7244463
  • Filename
    7244463