• DocumentCode
    2564744
  • Title

    Estimation of sensitivity of periodic trajectories with respect to structured uncertainty

  • Author

    Megretski, Alexandre ; Jonsson, Ulf T. ; Kao, Chung-Yao

  • Author_Institution
    MIT, Cambridge, MA, USA
  • Volume
    5
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    3101
  • Abstract
    The problem of computing bounds of periodic solutions to uncertain nonautonomous systems is considered. A bound on the distance between the perturbed and the nominal trajectory can be verified via the solution to a robust performance problem which is defined in terms of a sensitivity derivative. This robustness problem is solved using integral quadratic constraints and linear quadratic optimal control theory
  • Keywords
    linear quadratic control; nonlinear control systems; periodic control; perturbation techniques; robust control; sensitivity analysis; uncertain systems; LQ control; integral quadratic constraints; linear quadratic optimal control theory; nonlinear system perturbation; periodic trajectory sensitivity estimation; perturbed trajectory; sensitivity derivative; structured uncertainty; uncertain nonautonomous systems; Constraint theory; Integral equations; Optimal control; Periodic structures; Robust control; Robustness; Sufficient conditions; Transfer functions; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2000. Proceedings of the 2000
  • Conference_Location
    Chicago, IL
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-5519-9
  • Type

    conf

  • DOI
    10.1109/ACC.2000.879136
  • Filename
    879136