Existence and robustness of minimal norm controllers

J.C. Engwerda

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Abstract

In this paper the possibility to stabilize linear discrete time-varying systems by state feedback is examined if the time dependency is totally unknown. We show that a minimum variance controller stabilizes the system in an optimal way in the sense that the norm of the closed-loop system matrix is minimized. We give some bounds for this minimal norm which can be easily calculated. Furthermore we present a method to calculate the sensitivity of the minimal norm if the controller is based on a small perturbation of the real system. At last a necessary and sufficient condition is given for the existence of a controller which with less control efforts than the minimum variance controller obtains the same minimal closed-loop norm.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages12
Publication statusPublished - 1987

Publication series

NameMemorandum COSOR
Volume8716
ISSN (Print)0926-4493

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