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Input-to-state stability with respect to measurement disturbances for one-dimensional systems

Published online by Cambridge University Press:  15 August 2002

Nicolas Chung Siong Fah
Nicolas Chung Siong Fah*
Affiliation:
École Normale Supérieure, 45 rue d'Ulm, 75005 Paris, France; [email protected].
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Abstract

We consider one-dimensional affine control systems. We show that if such a system is stabilizable by means of a continuous, time-invariant feedback, then it can be made input-to-state stable with respect to measurement disturbances, using a continuous, periodic time-varying feedback. We provide counter-examples showing that the result does not generally hold if we want the feedback to be time-invariant or if the control system is not supposed affine.

Keywords

Input-to-state stabilitystabilizationmeasurement errors.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 4 , 1999 , pp. 99 - 121
Copyright
© EDP Sciences, SMAI, 1999

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