By Topic

Necessary condition for local observability of discrete-time polynomial systems

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Kawano, Y. ; Grad. Sch. of Eng. Sci., Osaka Univ., Toyonaka, Japan ; Ohtsuka, T.

In this paper, we consider local observability for polynomial systems. When testing for the local observability of nonlinear systems, the observability rank condition based on the inverse function theorem is commonly used. However, the observability rank condition is only a sufficient condition. Recently, a different viewpoint of the observability rank condition, a necessary and sufficient condition for local observability at an initial state, has been derived. However, it is still difficult to check the local observability condition for all initial states. In this paper, we derive a necessary condition for the local observability of polynomial systems that is based on the local observability condition at an initial state. The obtained condition is characterized by a finite set of equations because polynomial rings are Noetherian.

Published in:

American Control Conference (ACC), 2012

Date of Conference:

27-29 June 2012