• DocumentCode
    2261912
  • Title

    Stabilization and robust stabilization of nonlinear differential-algebraic systems: a Hamiltonian function method

  • Author

    Liu, Yanhong ; Li, Chunwen ; Wu, Rebing

  • Author_Institution
    Dept. of Autom., Tsinghua Univ., Beijing
  • fYear
    2006
  • fDate
    14-16 June 2006
  • Abstract
    The stabilization and robust stabilization of nonlinear differential algebraic systems (NDAS) are investigated using the Hamiltonian function method. Based on a novel dissipative Hamiltonian realization structure, we first present a criterion for the stability analysis of NDAS and construct a stabilization controller consequently. Then, for NDAS in presence of disturbances, the L2 gain is analyzed via generalized Hamilton-Jacobi inequality. An Hinfin control strategy is proposed for Hamiltonian realizable NDAS
  • Keywords
    Hinfin control; algebra; nonlinear control systems; nonlinear differential equations; robust control; Hinfin control; Hamilton-Jacobi inequality; Hamiltonian function method; L2 gain; dissipative Hamiltonian realization structure; nonlinear differential algebraic systems; robust stabilization; stability analysis; Asymptotic stability; Automation; Control systems; Equations; Lyapunov method; Power system dynamics; Power system modeling; Robustness; Stability analysis; State feedback;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2006
  • Conference_Location
    Minneapolis, MN
  • Print_ISBN
    1-4244-0209-3
  • Electronic_ISBN
    1-4244-0209-3
  • Type

    conf

  • DOI
    10.1109/ACC.2006.1655458
  • Filename
    1655458