Design of Full-order PD Observers for Second-order Dynamic Systems

Author

Guosheng, Wang ; Feng, Liu ; Bing, Liang ; Guangren, Duan

Author_Institution

Acad. of Armored Force Eng., Beijing

fYear

2007

Firstpage

5

Lastpage

8

Abstract

The design of full-order proportional plus derivative (PD) observers in second-order dynamic systems is investigated in this paper. Based on the solutions to a so-called generalized Sylvester equation, a parametric method to solve this design problem is proposed. This method presents the parametric expressions for the gain matrices and the left eigenvector matrix of the full-order PD observers. These parameters included in this method offer all the design degrees of freedom, which can be further utilized to satisfy certain specified performances, such as disturbance decoupling, LTR and robustness. In addition, this method utilizes directly the original system data and involves manipulations only on n-dimensional matrices. An illustrative example shows the effect and simpleness of the proposed method.

Keywords

PD control; control system synthesis; eigenvalues and eigenfunctions; matrix algebra; observers; robust control; LTR; disturbance decoupling; full-order PD observer design; gain matrices; generalized Sylvester equation; left eigenvector matrix; n-dimensional matrices; proportional plus derivative observers; robustness; second-order dynamic systems; Control engineering; Control theory; Equations; Robustness; Freedom degrees; Parameterization; Proportional plus derivative (PD) observers; Second-order dynamic systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2007. CCC 2007. Chinese

Conference_Location

Hunan

Print_ISBN

978-7-81124-055-9

Electronic_ISBN

978-7-900719-22-5

Type

conf

DOI

10.1109/CHICC.2006.4346768

Filename

4346768