๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Global observer design for nonlinear systems

โœ Scribed by V. Sundarapandian

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
602 KB
Volume
35
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

โœฆ Synopsis

This paper is a geometric study of the global observer design for nonlinear systems. Using the theory of foliations, we derive necessary and sufficient conditions for global exponential observers for nonlinear systems under some assumptions. Our proof for these necessary and sufficient conditions for global exponential observers if via defining two equivalence relations known as horizontal and vertical equivalence relations, and constructing two foliations known ss horizontal and vertical foliations from these equivalence relations. Finally, as a corollary of our global theorem, we derive necessary and sufficient conditions for local exponential observers of critically Lyapunov stable nonlinear systems.

๐Ÿ“œ SIMILAR VOLUMES

Local observer design for nonlinear syst
Local observer design for nonlinear systems
โœ V. Sundarapandian ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 828 KB

This paper is a geometric study of the local observer design for nonlinear systems. First, we obtain necessary and sufficient conditions for local exponential observers for Lyaupnov stable nonlinear systems. We also show that the definition of local exponential observers can be considerably weakened

Nonlinear observer design for bifurcatin
Nonlinear observer design for bifurcating systems
โœ V. Sundarapandian ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 405 KB

This paper is a geometric study of the nonlinear observer design for bifurcating systems. First, we obtain necessary and sufficient conditions for local exponential observers for nonlinear bifurcating systems under some stability assumptions. Next, using our characterization of local exponential obs

Semi-global observer for multi-output no
Semi-global observer for multi-output nonlinear systems
โœ Hyungbo Shim; Young I. Son; Jin H. Seo ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 159 KB

We present an explicit form of nonlinear observers for a class of multi-input multi-output systems. Observer construction for multi-output nonlinear systems is not a trivial extension of single output case, especially when the global error convergence is of interest. In this paper, we consider a cla