Regular Papers

International Journal of Control, Automation and Systems 2009; 7(3): 341-347

Published online May 30, 2009

https://doi.org/10.1007/s12555-009-0302-9

© The International Journal of Control, Automation, and Systems

Finite-Time Functional Observers for Descriptor Systems

Jun-e Feng, James Lam, and Shengyuan Xu

Shandong University, China

Abstract

This paper deals with the problem of finite-time functional observer design for linear descriptor systems, which converges in finite time exactly. The observer comprises two infinite-time functional observers and a finite delay element. The technique in designing such a class of observers for state-space systems can not be directly applied to deal with the present problem due to the algebraic structure of descriptor systems. A sufficient condition to guarantee the existence of such an observer is obtained in terms of certain rank conditions. Moreover, special cases for state and reduced-order ob-servers are also analyzed. Numerical simulation is used to illustrate the developed method.

Keywords Delay, descriptor systems, finite-time, functional observer.

Article

Regular Papers

International Journal of Control, Automation and Systems 2009; 7(3): 341-347

Published online June 1, 2009 https://doi.org/10.1007/s12555-009-0302-9

Copyright © The International Journal of Control, Automation, and Systems.

Finite-Time Functional Observers for Descriptor Systems

Jun-e Feng, James Lam, and Shengyuan Xu

Shandong University, China

Abstract

This paper deals with the problem of finite-time functional observer design for linear descriptor systems, which converges in finite time exactly. The observer comprises two infinite-time functional observers and a finite delay element. The technique in designing such a class of observers for state-space systems can not be directly applied to deal with the present problem due to the algebraic structure of descriptor systems. A sufficient condition to guarantee the existence of such an observer is obtained in terms of certain rank conditions. Moreover, special cases for state and reduced-order ob-servers are also analyzed. Numerical simulation is used to illustrate the developed method.

Keywords: Delay, descriptor systems, finite-time, functional observer.

IJCAS
July 2024

Vol. 22, No. 7, pp. 2055~2340

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