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Communication Dans Un Congrès Année : 2007

Towards uniform linear time-invariant stabilization of systems with persistency of excitation

Résumé

Consider the controlled system dx/dt = Ax + alpha(t)Bu where (A,B) is stabilizable and alpha(t) takes values in [0,1] and is persistently exciting. In particular, when alpha(t) becomes zero the system dynamics switches to an uncontrollable system. In this paper, we address the following question: is it possible to find a linear time-invariant state-feedback, only depending on (A, B) and on the parameters of the persistent excitation, which globally exponentially stabilizes the system? We give a positive answer to this question for two cases: when A is neutrally stable and when the system is the double integrator.
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Dates et versions

hal-00589701 , version 1 (30-04-2011)

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Antoine Chaillet, Yacine Chitour, Antonio Loria, Mario Sigalotti. Towards uniform linear time-invariant stabilization of systems with persistency of excitation. 46th IEEE Conference on Decision and Control, 2007, New Orleans, United States. pp.6394-6399, ⟨10.1109/cdc.2007.4434374⟩. ⟨hal-00589701⟩
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