DocumentCode
1246432
Title
State space computations using MapleV
Author
Ogunye, Ayowale B. ; Penlidis, Alexander
Author_Institution
Comput. & Inf. Technol. Lab., Dow Chem. Co., Midland, MI, USA
Volume
16
Issue
1
fYear
1996
fDate
2/1/1996 12:00:00 AM
Firstpage
70
Lastpage
77
Abstract
The development of algorithms needed for the analytic solution of state space design equations using a computer algebra system (MapleV) is presented in this article. These calculations involve matrix manipulations, eigenvalue-eigenvector determinations, Laplace and inverse Laplace transformations, Z and inverse Z transformations, which are complex, tedious, and error prone, even for simple examples. The process of programming with MapleV encourages appreciation of the important aspects of mathematical investigation, because there is one-to-one correspondence between the symbolic code and the mathematical algorithms being programmed. The use of MapleV has provided symbolic and numerical results, quickly and efficiently, with a tremendous gain in time and with minimal effort
Keywords
Laplace transforms; Z transforms; control system CAD; matrix algebra; state-space methods; symbol manipulation; MapleV; analytic solution; computer algebra system; eigenvalue-eigenvector determinations; inverse Laplace transformations; inverse Z transformations,; matrix manipulations; state space computations; symbolic code; Algorithm design and analysis; Computer errors; Laplace equations; Linear algebra; Mathematical model; Optimal control; Packaging; Process control; State feedback; State-space methods;
fLanguage
English
Journal_Title
Control Systems, IEEE
Publisher
ieee
ISSN
1066-033X
Type
jour
DOI
10.1109/37.482152
Filename
482152
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