• DocumentCode
    423885
  • Title

    Multivariable GPC and Kleinman´s controller: stability and equivalence

  • Author

    Ding, Bao-Cang ; Li, Shao-Yuan ; Yang, Peng ; Wang, Hong-Wen

  • Author_Institution
    Sch. of Electr. & Autom., Hebei Univ. of Technol., Tianjin, China
  • Volume
    1
  • fYear
    2004
  • fDate
    26-29 Aug. 2004
  • Firstpage
    329
  • Abstract
    This paper shows how multivariable generalized predictive controller (MGPC) can be related to Kleinman´s controller. Basically, if these two controllers coincide, then stability of Kleinman´s controller means stability of MGPC. Additionally, the equivalence between these two controllers helps us to recognize the relationship between the original formulations of MPC and MPC with terminal equality constraint. For these purposes, Kleinman´s controller is also extended and the Riccati iteration formula is modified.
  • Keywords
    Riccati equations; iterative methods; linear quadratic control; multivariable control systems; predictive control; stability; Kleinman control; LQ control; Riccati iteration formula; multivariable generalized predictive control; stability; Automatic control; Automation; Industrial control; Industrial relations; Paper technology; Predictive control; Predictive models; Process control; Riccati equations; Stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Machine Learning and Cybernetics, 2004. Proceedings of 2004 International Conference on
  • Print_ISBN
    0-7803-8403-2
  • Type

    conf

  • DOI
    10.1109/ICMLC.2004.1380698
  • Filename
    1380698