Title :
Advanced state space analysis using computer algebra
Author :
Ogunye, Ayowale B. ; Penlidis, Alexander
Author_Institution :
Dept. of Chem. Eng., Waterloo Univ., Ont., Canada
Abstract :
This paper addresses the issue of applying computer algebra to advanced state space analysis problems. The exact solution of matrix Lyapunov equations which allow the computation of system gramians was carried out using a computer algebra system (MapleV). Even for simple examples, the calculations involved are complex, tedious and error prone. MapleV provides symbolic and numerical results, quickly and efficiently
Keywords :
Lyapunov matrix equations; control system analysis computing; discrete time systems; numerical analysis; process algebra; state-space methods; symbol manipulation; MapleV; computer algebra; matrix Lyapunov equations; numerical analysis; state space analysis; symbol manipulation; system gramians; Algebra; Chemical analysis; Chemical engineering; Computer errors; Control theory; Covariance matrix; Eigenvalues and eigenfunctions; Equations; Packaging; State-space methods;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.529311
