Title :
Stability margins of cheap controls
Author :
Arcak, Murat ; Kokotovi, Petar V.
Author_Institution :
Center for Control Eng. & Comput., California Univ., Santa Barbara, CA, USA
Abstract :
We show that stability margins provided by optimal control laws increase when the penalty on the control in the quadratic cost functional is allowed to approach zero. This implies increased robustness with respect to input strictly passive dynamic uncertainties. The result is also extended to a class of nonlinear systems
Keywords :
optimal control; robust control; stability criteria; uncertain systems; cheap controls; input strictly passive dynamic uncertainties; nonlinear systems; optimal control laws; quadratic cost functional; robustness; stability margins; Control engineering; Control systems; Costs; Linear systems; Nonlinear dynamical systems; Nonlinear systems; Optimal control; Robust control; Robust stability; Uncertainty;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.758612
