• DocumentCode
    1737206
  • Title

    Discrete-time nonlinear systems inverse optimal control: A control Lyapunov function approach

  • Author

    Ornelas, Fernando ; Sanchez, Edgar N. ; Loukianov, Alexander G.

  • Author_Institution
    CINVESTAV, Guadalajara, Mexico
  • fYear
    2011
  • Firstpage
    1431
  • Lastpage
    1436
  • Abstract
    This paper presents an inverse optimal control approach for exponential stabilization of discrete-time nonlinear systems, avoiding to solve the associated Hamilton-Jacobi-Bellman (HJB) equation, and minimizing a meaningful cost function. This stabilizing optimal controller is based on a discrete-time control Lyapunov function. The applicability of the proposed approach is illustrated via simulations by stabilization of an example.
  • Keywords
    Jacobian matrices; Lyapunov matrix equations; asymptotic stability; discrete time systems; inverse problems; minimisation; nonlinear control systems; optimal control; Hamilton-Jacobi-Bellman equation; control Lyapunov function; cost function minimization; discrete time nonlinear system; exponential stabilization; inverse optimal control approach; Cost function; Equations; Lyapunov methods; Mathematical model; Nonlinear systems; Optimal control; Symmetric matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Applications (CCA), 2011 IEEE International Conference on
  • Conference_Location
    Denver, CO
  • Print_ISBN
    978-1-4577-1062-9
  • Electronic_ISBN
    978-1-4577-1061-2
  • Type

    conf

  • DOI
    10.1109/CCA.2011.6044461
  • Filename
    6044461
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1737206