• DocumentCode
    707111
  • Title

    A toolbox for computational analysis of piecewise linear systems

  • Author

    Hedlund, Sven ; Johansson, Mikael

  • Author_Institution
    Dept. of Autom. Controlm, Lund Inst. of Technol., Lund, Sweden
  • fYear
    1999
  • fDate
    Aug. 31 1999-Sept. 3 1999
  • Firstpage
    4578
  • Lastpage
    4583
  • Abstract
    This paper reports the development of a Matlab toolbox for computational analysis of piecewise linear systems. The analysis is based on piecewise quadratic Lyapunov functions, which are computed via convex optimization. In this way, exponential stability and system performance can be assessed. The toolbox also supports efficient simulation of systems with discontinuous dynamics and sliding modes. A set of intuitive commands for describing piecewise linear systems is included, making the analysis routines easily accessible also for the inexperienced user.
  • Keywords
    Lyapunov methods; asymptotic stability; control system synthesis; convex programming; linear systems; variable structure systems; Matlab toolbox; convex optimization; discontinuous dynamics; exponential stability; piecewise linear system; piecewise quadratic Lyapunov function; sliding modes; Data structures; Linear systems; Lyapunov methods; MATLAB; Relays; Stability analysis; Switches; LMIs; piecewise linear system; toolbox;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 1999 European
  • Conference_Location
    Karlsruhe
  • Print_ISBN
    978-3-9524173-5-5
  • Type

    conf

  • Filename
    7100057