Design of parametric unknown input observers in linear time-invariant systems

Author

Guosheng Wang ; Weidong Li ; Feng Guo ; Fan Xia

Author_Institution

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

fYear

2014

Firstpage

4050

Lastpage

4054

Abstract

A parametric design problem of the unknown input observers in the linear time-invariant systems is investigated. The aim is to design the parametric expression of the state observers that can estimate the state of the linear time-invariant systems with the unknown input disturbances. Based on the parametric solutions of a Sylvester matrix equation, the parametric expressions of all the gain matrices in the unknown input observers are put forward and the free parameters included in the parametric observers can offer all the degrees of design freedom in designing control system. Finally, a simulation example shows the proposed parametric design method of the unknown input observers in the linear time-invariant system is feasible.

Keywords

control system synthesis; linear systems; matrix algebra; observers; Sylvester matrix equation; control system design; gain matrices; linear time-invariant systems; parametric expressions; parametric solutions; parametric unknown input observer design method; state estimation; state observers; unknown input disturbances; Eigenvalues and eigenfunctions; Equations; Linear systems; Mathematical model; Matrices; Observers; Vectors; Linear control systems; Observer with Unknown input; Parameterized design;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2014 11th World Congress on

Type

conf

DOI

10.1109/WCICA.2014.7053393

Filename

7053393