Practical and asymptotic stabilization of the 3-d chained system by the transverse function approach

P Morin,C Samson

doi:10.1109/cdc.2003.1272316

Practical and asymptotic stabilization of the 3-d chained system by the transverse function approach

P Morin, C Samson

https://doi.org/10.1109/cdc.2003.1272316

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Publication Date: Dec 9, 2003

Citations: 11

Affiliation: French Institute for Research in Computer Science and Automation

#Transverse Function Approach #Practical Stabilization + Show 8 more

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Abstract

Smooth feedback control laws, for practical and asymptotic stabilization of the three-dimensional chained system subjected to (known or measured) additive perturbations, are derived by using the transverse function approach. More precisely, the proposed controls ensure practical stability of the system's origin whatever the perturbations, and asymptotic stability (resp. state convergence to zero) when the perturbations are equal to zero (resp. tend to zero).

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