Reduced order bilinear time invariant systems using singular perturbation

Author

Solikhatun ; Saragih, Roberd ; Joelianto, Endra

Author_Institution

Ind. & Financial Math. Res. Group, Inst. Teknol. Bandung, Bandung, Indonesia

fYear

2013

fDate

28-30 Aug. 2013

Firstpage

92

Lastpage

97

Abstract

Model order reduction of bilinear time invariant systems based on H_∞ norm or least upper bound of difference equation is presented in this paper. The difference equation of the bilinear time invariant system is presented as error transfer function between full order and reduced order of the bilinear time invariant system. The proposed method is graphically easier than using alteration of Hankel singular values. The least upper bound of the error transfer function and H_∞ norm of difference bilinear system are a function of controllability gramian. In this paper, the reduced bilinear system is carried out by using singular perturbation method. The numerical simulation results are given to clarify the proposed method for selection of reduced order bilinear time invariant system.

Keywords

H^∞ control; bilinear systems; differential equations; reduced order systems; transfer functions; H_∞ norm; Hankel singular values; controllability Gramian function; difference equation; error transfer function; full order bilinear time invariant system; least upper bound; model order reduction; numerical simulation; reduced order bilinear time invariant systems; singular perturbation method; Controllability; Mathematical model; Nonlinear systems; Reduced order systems; Time invariant systems; Transfer functions; Upper bound; K∞ norm; bilinear time invariant system; controllability and observability gramian; reduced order bilinear system; singular perturbation;

fLanguage

English

Publisher

ieee

Conference_Titel

Instrumentation Control and Automation (ICA), 2013 3rd International Conference on

Conference_Location

Ungasan

Print_ISBN

978-1-4673-5795-1

Type

conf

DOI

10.1109/ICA.2013.6734052

Filename

6734052