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Exponential stabilization of nonlinear driftless systems with robustness to unmodeled dynamics

Pascal MorinClaude Samson — 2010

ESAIM: Control, Optimisation and Calculus of Variations

Exponential stabilization of nonlinear driftless affine control systems is addressed with the concern of achieving robustness with respect to imperfect knowledge of the system's control vector fields. In order to satisfy this robustness requirement, and inspired by Bennani and Rouchon [1] where the same issue was first addressed, we consider a control strategy which consists in applying periodically updated open-loop controls that are continuous with respect to state initial conditions. These...

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