This chapter considers the design of asymptotic state observers for a single-output nonlinear system. A fundamental property that makes the design of such observers possible is the existence of change of coordinates by means of which the system is brought to a special form in which a property of observability, uniform with respect to the input, is highlighted. For such systems, it is possible to design global asymptotic state observers. Then, a nonlinear equivalent of the so-called separation principle of linear system theory is developed. It is shown how to combine a state feedback stabilizer with a nonlinear observer, so as to obtain a dynamic output feedback by means of which asymptotic stability with guaranteed domain of attraction is obtained.
Nonlinear Observer Dynamic Output Feedback Asymptotic State Observers Guaranteed Domain Canonical Flag
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.
J.P. Gauthier, I. Kupka, Deterministic Observation Theory and Applications (Cambridge University Press, Cambridge, 2001)CrossRefzbMATHGoogle Scholar
A.R. Teel, L. Praly, Global stabilizability and observability imply semi-global stabilizability by output feedback. Syst. Control Lett. 22, 313–325 (1994)MathSciNetCrossRefzbMATHGoogle Scholar