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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 of small measurement errors. It is known that, for general stabilizable systems, there may be no possible memoryless state feedback which is robust with respect to such errors. In contrast, a precise result is given here, showing that, if a (continuous-time, finite-dimensional) system is stabilizable in any way whatsoever (even by means of a dynamic, time varying, discontinuous, feedback) then it can also be semiglobally and practically stabilized in a way which is insensitive to small measurement errors, by means of a hybrid strategy based on the idea of sampling at a “slow enough” rate.

Keywords

Control systemsfeedback stabilizationcontrollability.
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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