• DocumentCode
    487159
  • Title

    Optimal Linear Control of Single-Input Nonlinear Systems

  • Author

    Hopkins, William E., Jr.

  • Author_Institution
    Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544
  • fYear
    1987
  • fDate
    10-12 June 1987
  • Firstpage
    1981
  • Lastpage
    1983
  • Abstract
    A new approach to the design of linear controllers for a class of single-input, nonlinear systems is studied. For any convex set of initial conditions, an optimization problem is formulated whose solution is a stabilizing controller. First order necessary conditions are derived. When the nonlinearity is polynomial and the set of initial conditions is sufficiently small, approximate solutions are obtained by Carleman linearization.
  • Keywords
    Control systems; Cost function; Feedback; Integral equations; Lyapunov method; Nonlinear control systems; Nonlinear systems; Optimal control; Polynomials; Stability criteria;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 1987
  • Conference_Location
    Minneapolis, MN, USA
  • Type

    conf

  • Filename
    4789636
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=487159