Design of a P-D feedback controller for continuous-time descriptor systems

Author

Mengjuan Cao ; Fucheng Liao

Author_Institution

Sch. of Math. & Phys., Univ. of Sci. & Technol. Beijing, Beijing, China

fYear

2014

fDate

May 31 2014-June 2 2014

Firstpage

658

Lastpage

663

Abstract

A new and simple method is proposed to design the P-D feedback controller for continuous-time descriptor systems in this paper. The original system is turned into a normal system by using a linear transformation. Based on the control theory and variable substation method, the bilinear inequality is changed to the linear matrix inequality (LMI). With this method, the LMI conditions and P-D feedback controller are obtained for the admissibility related to the descriptor closed-loop system. Finally, a numerical example illustrates the correctness and effectiveness of the method.

Keywords

PD control; closed loop systems; continuous time systems; control system synthesis; feedback; linear matrix inequalities; LMI conditions; P-D feedback controller design; bilinear inequality; continuous-time descriptor systems; control theory; descriptor closed-loop system; linear matrix inequality; linear transformation; variable substation method; Adaptive control; Closed loop systems; Control theory; Educational institutions; Linear matrix inequalities; Matrix decomposition; Presses; LMI; P-D feedback controller; admissibility; continuous-time descriptor system;

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.2014.6852248

Filename

6852248