• DocumentCode
    404601
  • Title

    Synthesis of piecewise-affine controllers for stabilization of nonlinear systems

  • Author

    Rodrigues, Luis ; How, Jonathan P.

  • Author_Institution
    Dept. Mech. & Ind. Eng., Concordia Univ., Montreal, Que., Canada
  • Volume
    3
  • fYear
    2003
  • fDate
    9-12 Dec. 2003
  • Firstpage
    2071
  • Abstract
    This paper presents conditions under which the feedback interconnection of a nonlinear plant and a piecewise-affine controller is stable. The piecewise-affine controller is designed for a piecewise-affine approximation of the nonlinear dynamics. The design is based on previous work of the authors. The paper also shows how to use differential inclusions to design piecewise-affine controllers for stabilization of nonlinear systems. A numerical example is provided to illustrate the procedure.
  • Keywords
    control system synthesis; nonlinear control systems; piecewise linear techniques; stability; differential inclusions; feedback interconnection; nonlinear plant; nonlinear systems stability; piecewise-affine approximation; piecewise-affine controllers; Aerodynamics; Control design; Control system synthesis; Control systems; Lyapunov method; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Stability; State feedback;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7924-1
  • Type

    conf

  • DOI
    10.1109/CDC.2003.1272922
  • Filename
    1272922