An asymptotic modal observer for linear autonomous time lag systems

Author

Leyva-Ramos, Jesus ; Pearson, Allan E.

Author_Institution

Fac. de Ingenieria, Univ. Autonoma de San Luis Potosi, Mexico

Volume

40

Issue

7

fYear

1995

fDate

7/1/1995 12:00:00 AM

Firstpage

1291

Lastpage

1294

Abstract

A full state vector observer is derived for a class of linear autonomous time lag systems represented by differential equations. The major features of the approach are: (1) an observer is constructed just for the set of unstable or poorly damped modes of the delayed system once they have been determined, and (2) the design is accomplished by using a partial-fraction expansion separating the unstable part from the system and then applying well-known finite dimensional state vector techniques. A procedure for the construction is given along with some numerical results to illustrate the simplicity of the observer

Keywords

delay systems; differential equations; observers; stability; asymptotic modal observer; delay systems; differential equations; finite dimensional state vector techniques; full state vector observer; linear autonomous time lag systems; partial-fraction expansion; poorly damped modes; unstable modes; Control systems; Control theory; Controllability; Delay effects; Delay systems; Differential algebraic equations; Eigenvalues and eigenfunctions; Polynomials; Riccati equations; Stability;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.400473

Filename

400473