• DocumentCode
    381680
  • Title

    Extended variable parameterization method for optimal control

  • Author

    Szymkat, Maciej ; Korytowski, Adam ; Turnau, A.

  • Author_Institution
    St. Staszic Tech. Univ., Krakow, Poland
  • fYear
    2002
  • fDate
    2002
  • Firstpage
    175
  • Lastpage
    180
  • Abstract
    An extension of the variable parameterization method is presented. Conditions for switching generation and reduction are analysed. The previously used quasi-Newton algorithm is completed with the Newton method. The transversality conditions are modified. The ideas are illustrated by a numerical example showing the performance of the algorithm also for singular cases. A comparison with direct and indirect collocation approaches is given.
  • Keywords
    Newton method; control system analysis; maximum principle; optimisation; time optimal control; Newton method; convergence; maximum principle; optimization; switching generation; switching reduction; time optimal control; transversality conditions; variable parameterization; Bang-bang control; Computational complexity; Control systems; Convergence; Newton method; Optimal control; Optimization methods;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Aided Control System Design, 2002. Proceedings. 2002 IEEE International Symposium on
  • Print_ISBN
    0-7803-7388-X
  • Type

    conf

  • DOI
    10.1109/CACSD.2002.1036949
  • Filename
    1036949
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=381680