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
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;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.879136
