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Redesigning a Class of Nonlinear Observers for Certainty-Equivalence Control

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1 Author(s)
M. Arcak ; Department of Electrical, Computer and Systems Engineering, Rensselaer Polytechnic Institute, Troy, NY.

We study how the class of observers introduced in [1], here referred to as circle-criterion observers, can be incorporated in output-feedback control. Due to the absence of a controller-observer separation property for nonlinear systems, the certainty-equivalence implementation of a state-feedback design may lead to severe forms of instability. We show, on the contrary, that the state-dependent convergence properties of circle-criterion observers can prevent such instabilities. Exploiting these convergence properties we develop a modified circle-criterion observer design that guarantees global asymptotic stability for certainty-equivalence controllers.

Published in:

Proceedings of the 44th IEEE Conference on Decision and Control

Date of Conference:

12-15 Dec. 2005