• DocumentCode
    342736
  • Title

    Exact decomposition of the algebraic Riccati equations of deterministic and stochastic multimodeling optimal control and filtering problems

  • Author

    Coumarbatch, Cyril ; Gajic, Zoran

  • Author_Institution
    Dept. of Math., Rutgers Univ., New Brunswick, NJ, USA
  • Volume
    5
  • fYear
    1999
  • fDate
    1999
  • Firstpage
    3282
  • Abstract
    We show how to exactly decompose the algebraic Riccati equations of deterministic and stochastic multimodeling in terms of one pure-slow and two pure-fast algebraic Riccati equations. In addition, we show how to completely decompose the optimal Kalman filter of the multimodeling structures in terms of pure-slow and pure-fast well-defined reduced-order, independent Kalman filters
  • Keywords
    Kalman filters; Riccati equations; algebra; filtering theory; optimal control; stochastic systems; algebraic Riccati equations; deterministic multimodeling filtering problems; deterministic multimodeling optimal control; exact decomposition; stochastic multimodeling filtering problems; stochastic multimodeling optimal control; Filtering; Large-scale systems; Mathematics; Optimal control; Power system dynamics; Power system interconnection; RNA; Riccati equations; Stochastic processes; Vehicle dynamics;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 1999. Proceedings of the 1999
  • Conference_Location
    San Diego, CA
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-4990-3
  • Type

    conf

  • DOI
    10.1109/ACC.1999.782372
  • Filename
    782372