Title :
An analogue of Bode´s sensitivity integral for continuous-time, time-varying systems
Author :
Iglesias, Pablo A.
Author_Institution :
Johns Hopkins Univ., Baltimore, MD, USA
Abstract :
A new time-domain interpretation of H.W. Bode´s (1945) integral is presented. This allows for a generalization to the class of time-varying systems which possess an exponential dichotomy. It is shown that the sensitivity function is constrained, on average, by the spectral values in the dichotomy spectrum of the unstable component of the open-loop dynamics
Keywords :
continuous time systems; integral equations; sensitivity analysis; time-varying systems; Bode integral; Bode sensitivity integral analogue; continuous-time systems; control theory; dichotomy spectrum; exponential dichotomy; open-loop dynamics; sensitivity function; single-input single-output stable, open loop system; spectral values; time-domain interpretation; time-varying systems; unstable component; Analog computers; Constraint theory; Control theory; Cost function; Entropy; Open loop systems; Time domain analysis; Time varying systems; Tracking loops; Transfer functions;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.945600
