Cart (Loading....) | Create Account
Close category search window
 

A geometric approach to eigenstructure assignment for singular 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)
Ozcaldiran, K. ; Georgia Institute of Technology, Atlanta, GA ; Lewis, F.

Moore's well-known result on the feedback assignment of eigenstructure in linear state-space systems [5] was generalized to descriptor systems in [9]. In this note we make some useful extensions to fill out the theory. To begin with, we do not assume controllability of the plant. It is shown that the maximum number of finite closed-loop eigenvalues is equal to dim (EL*), where L*is the supremal(A, E, R(B))-invariant subspace, in order to relate the possible closed-loop structure to the open-loop plant structure, we define a set of indexes for descriptor systems which are in many respects similar to the controllability indexes of state-space systems. In terms of these "controllability" indexes, we give a systematic approach to selecting the closed-loop eigenvectors. A major contribution of this note is the fact that it is geometric in nature, and hence avoids any decomposition of the system matrices into a special form (e.g., Weierstrass form [1]). The geometric setting introduced here should constitute a basis for further research in generalizing the well-known results in geometric system theory (disturbance decoupling, input/output decoupling, etc.) to singular systems.

Published in:

Automatic Control, IEEE Transactions on  (Volume:32 ,  Issue: 7 )

Date of Publication:

Jul 1987

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.