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measurement errors.

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Input-to-state stability with respect to measurement disturbances for one-dimensional systems
Nicolas Chung Siong Fah
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 4 / 1999

Published online by Cambridge University Press:

15 August 2002, pp. 99-121

Print publication:

1999
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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.