Title :
State space computations using MapleV
Author :
Ogunye, Ayowale B. ; Penlidis, Alexander
Author_Institution :
Comput. & Inf. Technol. Lab., Dow Chem. Co., Midland, MI, USA
fDate :
2/1/1996 12:00:00 AM
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;
Journal_Title :
Control Systems, IEEE