Title :
Analytic constraints in feedback control of linear time-varying systems: Bode´s sensitivity integral
Author :
Iglesias, Pablo A.
Author_Institution :
Dept. of Electr. & Comput. Eng., Johns Hopkins Univ., Baltimore, MD, USA
Abstract :
In this paper it is shown how Bode´s integral has a natural generalization for time-varying systems which possess an exponential dichotomy. Moreover, the sensitivity function is constrained, on average, by the lower Bohl and Lyapunov exponents of the open-loop system. These take the place of the magnitude of the open-loop poles. The analysis is carried out for discrete-time systems
Keywords :
Bode diagrams; Lyapunov methods; discrete time systems; feedback; integral equations; linear systems; sensitivity analysis; time-varying systems; Bode integral; Lyapunov exponents; discrete-time systems; exponential dichotomy; feedback; linear systems; lower Bohl; open-loop poles; sensitivity function; time-varying systems; Bandwidth; Cost function; Entropy; Feedback control; Frequency; MIMO; Stochastic systems; Time domain analysis; Time varying systems; Transfer functions;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.786218
