Discrete Feedback Stabilization of Nonlinear Control Systems at a Singular Point

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Grüne, Lars:
Discrete Feedback Stabilization of Nonlinear Control Systems at a Singular Point.
In: Belgian Interuniversity Attraction Pole N° 2 (Hrsg.): European Control Conference : ECC 97. - Piscataway, NJ : IEEE , 1997 . - S. 3200-3203
ISBN 978-3-9524269-0-6

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Abstract

For continuous time nonlinear control systems with constrained control values stabilizing discrete feedback controls are discussed. It is shown that under an accessibility condition exponential discrete feedback stabilizability is equivalent to open loop uniform exponential asymptotic controllability. A numerical algorithm for the computation of discrete feedback controls is presented and a numerical example is discussed.