General observers for nonlinear systems
โ Scribed by V Sundarapandian
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 469 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
โฆ Synopsis
This paper is a geometric study of finding general exponential observers for nonlinear systems. Using center manifold theory, we derive necessary and sufficient conditions for general exponential observers for Lyapunov stable nonlinear systems. As an application of our characterization of general exponential observers, we give a construction procedure for identity exponential observers for nonlinear systems.
๐ SIMILAR VOLUMES
This paper is a geometric study of the local observer design for a general class of nonlinear systems with real parametric uncertainty. Explicitly, we study the observer design problem for a general class of nonlinear systems with real parametric uncertainty and with an input generator (exosystem).
We provide a method for constructing local observers for some nonlinear systems around a critical point where the linearization is not observable or not detectable. Two examples are provided to illustrate the results of the paper.