• DocumentCode
    807634
  • Title

    Trajectory optimization for closed-loop nonlinear stochastic systems

  • Author

    Brown, Robert J., Jr. ; Rowland, James R.

  • Author_Institution
    Bell Telephone Laboratories, Homdel, NJ, USA
  • Volume
    17
  • Issue
    1
  • fYear
    1972
  • fDate
    2/1/1972 12:00:00 AM
  • Firstpage
    116
  • Lastpage
    118
  • Abstract
    An improved approximate solution to the nonlinear closed-loop stochastic control problem is presented. The method involves optimizing simultaneously a nominal trajectory, nominal control, and specific form of perturbation controller. It is demonstrated that improved performance is realized over the performance obtained by the widely used method of linearizing the nonlinear system about the deterministic optimal trajectory and employing a Riccati perturbation controller.
  • Keywords
    Nonlinear systems, stochastic continuous-time; Optimal stochastic control; Stochastic optimal control; Control systems; Differential equations; Helium; Nonlinear control systems; Nonlinear systems; Optimal control; Riccati equations; State feedback; Stochastic systems; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1972.1099876
  • Filename
    1099876