• DocumentCode
    859712
  • Title

    The incremental phase plane for nonlinear sampled data systems

  • Author

    Aseltine, John A. ; Nesbit, Richard A.

  • Author_Institution
    Space Technologies Laboratories, Los Angeles, CA, USA
  • Volume
    5
  • Issue
    3
  • fYear
    1960
  • fDate
    8/1/1960 12:00:00 AM
  • Firstpage
    159
  • Lastpage
    165
  • Abstract
    An analysis technique for nonlinear sampled data systems is developed, using the incremental phase plane. This method is analogous to the phase plane method for continuous systems. A sampled data system with saturation is analyzed to demonstrate the use of the incremental phase plane in system analysis. Path tangent curves are introduced which allow the graphical solution of systems with more general types of nonlinearities. A difference equation analog of Van der Pol´s equation is solved using the path tangent curves.
  • Keywords
    Continuous time systems; Control systems; Difference equations; Differential equations; Laboratories; Linear systems; Nonlinear equations; Sampled data systems; Sampling methods; Space technology;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IRE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-199X
  • Type

    jour

  • DOI
    10.1109/TAC.1960.1105014
  • Filename
    1105014