Symbolic manipulation of transfer functions and state space realizations

Author

Ho, Daniel Wing-Cheong ; Lam, James ; Tin, Siu-Kei ; Han, Cho-Yuen

Author_Institution

Dept. of Math., City Univ. of Hong Kong, Kowloon, Hong Kong

Volume

39

Issue

2

fYear

1996

fDate

5/1/1996 12:00:00 AM

Firstpage

230

Lastpage

242

Abstract

In this paper several applications on the use of symbolic computation to control system design are discussed. These applications are of educational value to control engineering courses. The routines developed here provide a quick way to formulate control design problems, ranging from calculating elementary transfer functions to automating the construction of state space realization. This paper also gives detailed discussion on the symbolic computational process of the programs being developed. Examples of symbolic calculation of generalized plant state space realization for use in H_∞/H₂ optimal control are presented

Keywords

H^∞ control; computer aided instruction; control engineering computing; control engineering education; control system synthesis; state-space methods; symbol manipulation; transfer functions; H_∞/H₂ optimal control; control design problems formulation; control engineering courses; control system design; education; elementary transfer functions calculation; generalized plant state space realization; state space realization; symbolic computational process; symbolic manipulation; transfer functions; Application software; Automatic control; Control design; Control engineering; Control systems; Linear systems; Packaging; State-space methods; Tin; Transfer functions;

fLanguage

English

Journal_Title

Education, IEEE Transactions on

Publisher

ieee

ISSN

0018-9359

Type

jour

DOI

10.1109/13.502070

Filename

502070