Title :
Can any reduced order model be obtained via projection?
Author_Institution :
Fac. of Mechanical Eng., Technion - I.I.T., Haifa, Israel
fDate :
June 30 2004-July 2 2004
Abstract :
The paper investigates the properties of general reduced order models obtained by projection of a high order system. It answers questions such as are any two models of different orders related by a projection? Is it possible to obtain the same reduced order model using different projections? How to find, if it exists, a projection that relates the two models? It is shown that answers to those questions can be obtained by investigating the properties of a certain matrix pencil. In case the system is square the problem becomes that of a generalized eigenvalue, and in non-square systems the key tool is the Kronecker Canonical Form.
Keywords :
eigenvalues and eigenfunctions; reduced order systems; Kronecker Canonical Form; generalized eigenvalue; high order system; matrix pencil; nonsquare systems; reduced order model;
Conference_Titel :
American Control Conference, 2004. Proceedings of the 2004
Conference_Location :
Boston, MA, USA
Print_ISBN :
0-7803-8335-4
