Publication:
On the Observability of Nonlinear and Switched Systems

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Authors
Kang, Wei
Barbot, Jean-Pierre
Xu, Liang
Subjects
Advisors
Date of Issue
2009
Date
2009
Publisher
Springer
Language
Abstract
In this paper, new concept of observability are introduced for both nonlinear systems and switched systems. The new definitions are applicable to a much broader family of problems of estimation including unmeasured state variables, unknown input, and unknown parameters in control systems. It is also taken into account the notion of partial observability which is useful for complex or networked systems. For switched systems, the relationship between the observability and hybrid time trajectories is analyzed. It is proved that a switched system might be observable even when individual subsystems are not. Another topic addressed in this paper is the measure of observability, which is able to quantitatively define the robustness and the precision of observability. It is shown that a system can be perfectly observable in the traditional sense, but in the case of high dimensions, it is practically unobservable (or extremely weekly observable). Moreover, computational algorithm for nonlinear systems is developed to compute the observability with precision. Several examples are given to illustrate the fundamentals and the usefulness of the results.
Type
Book Chapter
Description
Series/Report No
Department
Applied Mathematics
Other Units
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Naval Research Laboratory
Wei Kang is funded in part by Naval Research Laboratory
Format
18 p.
Citation
Kang, Wei, Jean-Pierre Barbot, and Liang Xu. "On the observability of nonlinear and switched systems." Emergent problems in nonlinear systems and control. Springer, Berlin, Heidelberg, 2009. 199-216.
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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