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Control of nonlinear chained systems. From the Routh-Hurwitz stability criterion to time-varying exponential stabilizers

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2 Author(s)
Morin, P. ; Inst. Nat. de Recherche en Inf. et Autom., Sophia Antipolis, France ; Samson, C.

We show how any linear feedback which asymptotically stabilizes the origin of a linear integrator system of order (n-1) induces a simple continuous time-varying feedback which exponentially stabilizes the origin of a nonlinear (2, n) single-chain system. The design method is related to, and extends in the specific case of chained systems, a method developed by M'Closkey and Murray (1997) in order to transform smooth feedback stabilizers yielding slow polynomial convergence into continuous homogeneous ones which give exponential convergence

Published in:
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on  (Volume:1 )

Date of Conference: 10-12 Dec 1997

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