• DocumentCode
    1660771
  • Title

    Nonlinear algebraic gain equations for the single input linear quadratic regulator

  • Author

    Barbieri, Enrique

  • Author_Institution
    Dept. of Electr. Eng., Tulane Univ., New Orleans, LA, USA
  • Volume
    2
  • fYear
    1994
  • Firstpage
    1726
  • Abstract
    The optimal gains of the standard linear quadratic regulator (LQR) solution for single input systems are shown to satisfy a set of nonlinear algebraic equations. The inverse LQR problem is solved first and the set of equations is developed by exploiting the structure of the system when expressed in the phase-canonic form. A numerical example is included
  • Keywords
    Riccati equations; algebra; linear quadratic control; nonlinear equations; inverse LQR problem; nonlinear algebraic gain equations; phase-canonic form; single input linear quadratic regulator; Control systems; Cost function; Eigenvalues and eigenfunctions; Nonlinear control systems; Nonlinear equations; Optimal control; Polynomials; Regulators; Riccati equations; State feedback;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
  • Conference_Location
    Lake Buena Vista, FL
  • Print_ISBN
    0-7803-1968-0
  • Type

    conf

  • DOI
    10.1109/CDC.1994.411189
  • Filename
    411189
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1660771