• DocumentCode
    2261895
  • Title

    A metric based isomorphic transformation on state variables

  • Author

    Smith, Monty J.

  • Author_Institution
    Coll. of Eng., North Texas Univ., Denton, TX
  • fYear
    2006
  • fDate
    14-16 June 2006
  • Abstract
    In this technical note, we will consider an isomorphic metric based transformation for continuous time systems with state variables in Rn. The transformation enables the consideration of a non-quadratic performance criterion on the state and compensator signal based upon a newly formed state space realization. Global asymptotic stability is guaranteed for the compensation structure chosen via a continuity argument on the resulting closed loop state dependent plant matrix. This note is concluded with a simple example, and the results appear encouraging for consideration of general applications
  • Keywords
    asymptotic stability; closed loop systems; continuous time systems; nonlinear control systems; closed loop state dependent plant matrix; continuous time systems; global asymptotic stability; metric based isomorphic transformation; state variables; Asymptotic stability; Continuous time systems; Control systems; Educational institutions; Nonlinear control systems; Nonlinear systems; Performance gain; State-space methods; USA Councils; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2006
  • Conference_Location
    Minneapolis, MN
  • Print_ISBN
    1-4244-0209-3
  • Electronic_ISBN
    1-4244-0209-3
  • Type

    conf

  • DOI
    10.1109/ACC.2006.1655457
  • Filename
    1655457