• DocumentCode
    769866
  • Title

    Principle of proportional damages in a multiple criteria LQR problem

  • Author

    Shtessel, Yuri B.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Alabama Univ., Huntsville, AL, USA
  • Volume
    41
  • Issue
    3
  • fYear
    1996
  • fDate
    3/1/1996 12:00:00 AM
  • Firstpage
    461
  • Lastpage
    464
  • Abstract
    A multiple criteria linear quadratic regulator (LQR) problem is considered. The principle of proportional damages is worked out to minimize a norm of a difference between ideal and optimal values of the vector-performance criteria, while the distribution of the losses (damages) of the performance criteria are under control. A multiple criteria LQR problem solution via principle of proportional damages is obtained as a linear form of state variables and is invariant to the norm which is minimized
  • Keywords
    MIMO systems; control system synthesis; differential equations; linear quadratic control; linear systems; time-varying systems; MIMO systems; differential equations; linear quadratic regulator; linear systems; multiple criteria LQR; proportional damage principle; time varying systems; vector-performance criteria; Aerospace control; Aircraft; Elevators; Equations; Feedback control; Linear systems; Optimal control; Performance loss; Proportional control; Regulators;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.486652
  • Filename
    486652