Study on the order reduction algorithm for H∞ controller based on minimal loss of information theory

Author

Dai Ji-yang ; Xiong Xin ; Jiang Yuan ; Chu Xia-ling

Author_Institution

Nondestructive Test Key Lab. of Minist. Educ., Nanchang Hangkong Univ., Nanchang, China

fYear

2015

fDate

23-25 May 2015

Firstpage

483

Lastpage

486

Abstract

A new method of H_∞ controller order reduction is presented, the new controllability grammian matrix X is calculated according to minimal loss of information theory and a reduced H_∞ controller is obtained by using balanced truncation algorithm. The closed loop system with the reduced order H_∞ controller satisfied the performance requirements by using the proposed method. The simulation results have shown the effectiveness of the new technique by comparing with the other two methods.

Keywords

H^∞ control; closed loop systems; controllability; information theory; matrix algebra; reduced order systems; balanced truncation algorithm; closed loop system; controllability Grammian matrix; minimal loss of information theory; order reduction algorithm; reduced order H∞ controller; Closed loop systems; Controllability; Information theory; Least squares methods; Mathematical model; Observability; Reduced order systems; Balanced Truncation Algorithm; H∞ Controller Reduction; Minimal Loss of Information theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2015 27th Chinese

Conference_Location

Qingdao

Print_ISBN

978-1-4799-7016-2

Type

conf

DOI

10.1109/CCDC.2015.7161740

Filename

7161740