• DocumentCode
    1040536
  • Title

    Exponential linear quadratic optimal control with discounting

  • Author

    Hopkins, William E., Jr.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Drexel Univ., Philadelphia, PA, USA
  • Volume
    39
  • Issue
    1
  • fYear
    1994
  • fDate
    1/1/1994 12:00:00 AM
  • Firstpage
    175
  • Lastpage
    178
  • Abstract
    A direct derivation of the solution of the discounted exponential linear quadratic Gaussian optimal control problem is presented. Some extensions to partial observations problems are also given. The solution involves time-varying Riccati equations, providing an example of an infinite horizon, constant coefficient, regulator problem with a time-varying optimal control
  • Keywords
    optimal control; time-varying systems; discounted exponential linear quadratic Gaussian optimal control; infinite horizon constant coefficient regulator problem; partial observations; time-varying Riccati equations; time-varying optimal control; Closed-form solution; Cost function; Differential equations; Gaussian processes; Infinite horizon; Optimal control; Regulators; Riccati equations; Statistical distributions; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.273361
  • Filename
    273361