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Clocks and Insensitivity to Small Measurement Errors

Published online by Cambridge University Press:  15 August 2002

Eduardo D. Sontag
Eduardo D. Sontag*
Affiliation:
Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, U.S.A.; sontag@hilbert.rutgers.edu.
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Abstract

This paper deals with the problem of stabilizing a system in the presence ofsmall measurement errors. It is known that, for general stabilizable systems,there may be no possible memoryless state feedback which is robust withrespect to such errors. In contrast, a precise result is given here, showingthat, if a (continuous-time, finite-dimensional) system is stabilizable in anyway whatsoever (even by means of a dynamic, time varying, discontinuous,feedback) then it can also be semiglobally and practicallystabilized in a way which is insensitive tosmall measurement errors, by means of a hybrid strategy based on the idea ofsampling at a “slow enough” rate.

Keywords

Control systemsfeedback stabilizationcontrollability.

Information

Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 4 , 1999 , pp. 537 - 557
Copyright
© EDP Sciences, SMAI, 1999

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References

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