Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

A Separation Principle for Affine Systems

A Separation Principle for Affine Systems Di erential Equations, Vol. 37, No. 11, 2001, pp. 1541{1548. Translated from Di erentsial'nye Uravneniya, Vol. 37, No. 11, 2001, pp. 1468{1475. Original Russian Text Copyright c 2001 by Golubev, Krishchenko, Tkachev. ORDINARY DIFFERENTIAL EQUATIONS A Separation Principle for Ane Systems A. E. Golubev, A. P. Krishchenko, and S. B. Tkachev Moscow State Technical University, Moscow, Russia Received June 25, 2001 INTRODUCTION In control problems for dynamical systems, the full system state vector is often unknown, and only some functions of state variables, called system outputs, can be measured. One way to estimate the state vector on the basis of the output is to construct an observer, that is, a special dynamical system whose state approaches (either asymptotically or exponentially) the state of the original system in the course of time. Suppose that we have found a solution of the stabilization problem for the dynamical system in the form of a state feedback and the state estimation via an observer is available. Consider the control obtained from the feedback control by replacing the system state with the estimate provided by the observer. We arrive at the problem as to whether the resulting state estimate feedback control solves the stabilization http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

A Separation Principle for Affine Systems

Golubev, A.; Krishchenko, A.; Tkachev, S.
Differential Equations , Volume 37 (11) – Oct 9, 2004
Download PDF
8 pages

Loading next page...
 
/lp/springer-journals/a-separation-principle-for-affine-systems-xULcDQajT4

References (2)

Publisher
Springer Journals
Copyright
Copyright © 2001 by MAIK “Nauka/Interperiodica”
Subject
Mathematics; Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1023/A:1017908630261
Publisher site
See Article on Publisher Site

Abstract

Di erential Equations, Vol. 37, No. 11, 2001, pp. 1541{1548. Translated from Di erentsial'nye Uravneniya, Vol. 37, No. 11, 2001, pp. 1468{1475. Original Russian Text Copyright c 2001 by Golubev, Krishchenko, Tkachev. ORDINARY DIFFERENTIAL EQUATIONS A Separation Principle for Ane Systems A. E. Golubev, A. P. Krishchenko, and S. B. Tkachev Moscow State Technical University, Moscow, Russia Received June 25, 2001 INTRODUCTION In control problems for dynamical systems, the full system state vector is often unknown, and only some functions of state variables, called system outputs, can be measured. One way to estimate the state vector on the basis of the output is to construct an observer, that is, a special dynamical system whose state approaches (either asymptotically or exponentially) the state of the original system in the course of time. Suppose that we have found a solution of the stabilization problem for the dynamical system in the form of a state feedback and the state estimation via an observer is available. Consider the control obtained from the feedback control by replacing the system state with the estimate provided by the observer. We arrive at the problem as to whether the resulting state estimate feedback control solves the stabilization

Journal

Differential Equations – Springer Journals

Published: Oct 9, 2004

There are no references for this article.