DocumentCode :
1086574
Title :
Increased roles of linear algebra in control education
Author :
Skelton, Robert E. ; Iwasaki, Tetsuya
Author_Institution :
Space Syst. Control Lab., Purdue Univ., West Lafayette, IN, USA
Volume :
15
Issue :
4
fYear :
1995
fDate :
8/1/1995 12:00:00 AM
Firstpage :
76
Lastpage :
90
Abstract :
In the past, control theory developed along different lines that required different mathematical tools. Time-varying systems required one set of tools, time-invariant another. Single-input, single-output problems lend themselves easily to one approach, but this approach is awkward for multivariable systems, etc. The purpose of this article is to point to the desirability of a unified approach to elementary control education using only tools of linear algebra as the enabling unifier. The following is a description and motivation for the proposed new control course (approach). There is only one main theorem from linear algebra, and at least 17 different control problems all reduce to solving a single linear algebra problem
Keywords :
control engineering education; linear algebra; elementary control education; linear algebra; Control systems; Control theory; Frequency domain analysis; Linear algebra; Linear matrix inequalities; Linear systems; State-space methods; Stochastic systems; Time varying systems; Transfer functions;
fLanguage :
English
Journal_Title :
Control Systems, IEEE
Publisher :
ieee
ISSN :
1066-033X
Type :
jour
DOI :
10.1109/37.408458
Filename :
408458
Link To Document :
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