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About the Existence of Locally Lipschitz Output Feedback Stabilizers for Nonlinear Systems

Abstract : In this paper we complement some results of [L. Marconi, L. Praly, and A. Isidori, SIAM J. Control Optim., 45 (2007), pp. 2277–2298] by presenting a sufficient condition under which the output feedback controller proposed in that paper can be designed to be locally Lipschitz. The condition in question consists in a regularity property of the observable part of an autonomous system with output that generates the control input in a steady state. The work has been deliberately written to be an addendum to [L. Marconi, L. Praly, and A. Isidori, SIAM J. Control Optim., 45 (2007), pp. 2277–2298], to which the reader is referred for notation and main results.
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Alberto Isidori, Laurent Praly, Lorenzo Marconi. About the Existence of Locally Lipschitz Output Feedback Stabilizers for Nonlinear Systems. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2010, 48 (5), pp.3389-3402. ⟨10.1137/080741677⟩. ⟨hal-00480967⟩

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