• DocumentCode
    404304
  • Title

    H2 state feedback control for fuzzy singularly perturbed systems

  • Author

    Liu, Huaping ; Sun, Fuchun ; He, Kezhong ; Sun, Zengqi

  • Author_Institution
    Dept. of Comput. Sci. & Technol., Tsinghua Univ., Beijing, China
  • Volume
    5
  • fYear
    2003
  • fDate
    9-12 Dec. 2003
  • Firstpage
    5239
  • Abstract
    This study introduces an H2 fuzzy state feedback control design method for nonlinear singularly perturbed systems. First, the Takagi-Sugeno fuzzy model is employed to approximate a nonlinear singularly perturbed system. Next, based on the fuzzy singularly perturbed model, a fuzzy PDC ε-independent controller is developed to achieve the H2 performance for small enough ε. By the proposed two-stage procedure, the control problem is parameterized in terms of two sub problem, one can be reduced to a set of LMIs, the other can be recast into a set of BMIs, furthermore, the BMIs will be solved by the proposed iterative LMI(ILMI).
  • Keywords
    H∞ control; control system synthesis; fuzzy control; fuzzy systems; linear matrix inequalities; nonlinear control systems; singularly perturbed systems; state feedback; H2 state feedback control design; Takagi-Sugeno fuzzy model; bilinear matrix inequality; fuzzy parallel distributed compensation ϵ-independent controller; fuzzy singularly perturbed systems; linear matrix inequality; nonlinear singularly perturbed system; Control design; Control systems; Electrostatic precipitators; Fuzzy control; Fuzzy systems; Hydrogen; Lyapunov method; 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.2003.1272469
  • Filename
    1272469
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=404304