• DocumentCode
    3784587
  • Title

    Controllability and time-optimal control of systems with slow and fast modes

  • Author

    P. Kokotovic;A. Haddad

  • Author_Institution
    University of Illinois, Urbana, IL, USA
  • Volume
    20
  • Issue
    1
  • fYear
    1975
  • Firstpage
    111
  • Lastpage
    113
  • Abstract
    The controllability of linear systems with large and small time constants (singularly perturbed systems) is established. The time-optimal control of such systems is shown to be separable into two time scales related to the slow and fast modes of the system. An approximate design method of the time-optimal control is proposed, which is based on the separability of the fast and slow controls.
  • Keywords
    "Controllability","Control systems","Eigenvalues and eigenfunctions","Linear systems","Optimal control","Design methodology","H infinity control","Reduced order systems","Steady-state","Contracts"
  • Journal_Title
    IEEE Transactions on Automatic Control
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1975.1100852
  • Filename
    1100852