Design of parametric finite time functional observers in linear time-invariant systems

Author

Wang, Guosheng ; Lv, Hongtao ; Lv, Qiang

Author_Institution

Dept. of Control Eng., Acad. of Armored Force Eng., Beijing, China

fYear

2012

fDate

6-8 July 2012

Firstpage

1156

Lastpage

1159

Abstract

A design problem of the parametric finite time functional observers in the linear time-invariant systems is investigated. The aim is to design the parametric form of the functional observers which can estimate directly the linear functions of the state for the linear time-invariant systems in a predefined finite time. Based on the parametric solutions for a class of Sylvester matrix equation, this paper presents the parametric expressions of all the gain matrices for the finite time functional observers, in which the free parameters can offer all the design degrees of freedom for control system design. Finally, a numerical example and its simulation results show the simplicity and effectiveness of the proposed design method of parametric finite time functional observers in the linear time-invariant systems.

Keywords

control system synthesis; linear systems; matrix algebra; observers; state estimation; Sylvester matrix equation; control system design; design problem; gain matrices; linear function estimation; linear time-invariant systems; parametric expressions; parametric finite time functional observers; state estimation; Convergence; Design methodology; Equations; Estimation error; Linear systems; Observers; Vectors; Linear time invariant systems; finite time functional observers; parameterization; simulation;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2012 10th World Congress on

Conference_Location

Beijing

Print_ISBN

978-1-4673-1397-1

Type

conf

DOI

10.1109/WCICA.2012.6358055

Filename

6358055