A parametric design method of finite time state observers in linear time-invariant systems

Author

Guo-sheng Wang ; Fan Xia ; Bing Liang ; Feng Guo ; Liu Feng

Author_Institution

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

fYear

2014

fDate

May 31 2014-June 2 2014

Firstpage

795

Lastpage

799

Abstract

A parametric design problem of the finite time state observers for the linear time-invariant systems is investigated. The design aim of the finite time state observers in linear time-invariant systems is to present the parametric form of the state observers which can estimate the system state in a predefined finite time and the estimation stays bounded during the convergence time interval. Based on the parametric solutions for a class of Sylvester matrix equations, the parametric expressions of all the gain matrices for the finite time state observers in linear systems are proposed. Finally, a numerical example and its simulation results show that the proposed parametric design method of the finite time state observers in the linear time-invariant systems is effective and simple.

Keywords

control system synthesis; convergence; linear systems; matrix algebra; observers; state feedback; Sylvester matrix equations; convergence time interval; finite time state observer; gain matrices; linear time-invariant system; parametric design method; parametric solutions; system state estimation; Convergence; Equations; Linear systems; Mathematical model; Observers; Three-dimensional displays; Vectors; Linear system; finite time; parametric design; state observer;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (2014 CCDC), The 26th Chinese

Conference_Location

Changsha

Print_ISBN

978-1-4799-3707-3

Type

conf

DOI

10.1109/CCDC.2014.6852273

Filename

6852273