MINES ParisTech CAS - Centre automatique et systèmes

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

Authors: A. Isidori, L. Praly, L. Marconi SIAM Journal on Control and Optimization, Vol 48, no 5, pp. 3389-3402, DOI: 10.1137/080741677
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.
Download PDF
BibTeX:
@Article{,
author = {L. Praly A. Isidori, L. Marconi},
title = {About the Existence of Locally Lipschitz Output Feedback Stabilizers for Nonlinear Systems},
journal = {SIAM Journal on Control and Optimization},
volume = {48},
number = {5},
pages = {3389-3402},
year = {2010},
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.},
location = {},
keywords = {output stabilization, nonlinear output regulation, locally Lipschitz regulators, nonlinear observers, robust control}}