Sensitivity minimization of digital controllers via frequency-weighted balancing

Author

Kawamata, Masayuki ; Uno, Yoshihisa ; Higuchi, Tatsuo

Author_Institution

Dept. of Electron. Eng., Tohoku Univ., Sendai, Japan

fYear

1991

fDate

11-14 Jun 1991

Firstpage

2419

Abstract

The analysis and minimization of the coefficient sensitivity of digital controllers which are represented by state equations are conducted. The frequency-independent sensitivity of controllers is represented by the frequency-weighted controllability Gramian and the frequency-weighted observability Gramian of controllers. The minimum sensitivity controller is synthesized by using an equivalent transformation matrix. The sensitivity of a controller is minimum if it has the frequency-weighted balanced realization with scalar scaling

Keywords

control system analysis; control system synthesis; controllability; digital control; matrix algebra; minimisation; observability; sensitivity analysis; transfer functions; coefficient sensitivity; digital controllers; equivalent transformation matrix; frequency-independent sensitivity; frequency-weighted balancing; frequency-weighted controllability Gramian; frequency-weighted observability Gramian; scalar scaling; state equations; Control system synthesis; Control systems; Controllability; Digital control; Digital filters; Equations; Frequency dependence; Observability; Sensitivity analysis; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1991., IEEE International Sympoisum on

Print_ISBN

0-7803-0050-5

Type

conf

DOI

10.1109/ISCAS.1991.176064

Filename

176064