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A Condition for Certainty Equivalence Output Feedback Stabilization of Nonlinear Systems

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3 Author(s)
Daniele Carnevale ; Dipartimento di Informatica, Sistemi e Produzione, Università di Roma ¿Tor Vergata¿, Roma, Italy ; Dimitrios Karagiannis ; Alessandro Astolfi

Direct certainty equivalence results for output feedback stabilization of nonlinear systems are proposed. The first result is a simple extension of the indirect approach used in a paper by Praly and Arcak. The second result allows to deal with observers yielding nonuniformly converging estimates with respect to the norm of (a subset of) the system state. Application of these results with the reduced-order observer of Karagiannis are discussed.

Published in:

IEEE Transactions on Automatic Control  (Volume:55 ,  Issue: 5 )