Title :
Moment matching with prescribed poles and zeros for infinite-dimensional systems
Author :
Ionescu, T.C. ; Iftime, O.V.
Author_Institution :
Dept. of Electr. & Electron. Eng., Imperial Coll. London, London, UK
Abstract :
In this paper we approach the problem of moment matching for a class of infinite-dimensional systems, based on the unique solution of an operator Sylvester equation. It results in a class of parameterized, finite-dimensional, reduced order models that match a set of prescribed moments of the given system. We show that, by properly choosing the free parameters, additional constraints are met, e.g., pole placement, preservation of zeros. To illustrate the proposed method, we apply it to the heat equation with mixed boundary conditions. We obtain a second order reduced model which approximates the original systems better (in terms of the infinity norm of the approximation error) than the fourth order reduced model obtained by modal truncation.
Keywords :
approximation theory; matrix algebra; multidimensional systems; pole assignment; reduced order systems; zero assignment; additional constraints; approximation error; finite-dimensional reduced order models; free parameters; heat equation; infinite-dimensional systems; mixed boundary conditions; modal truncation; moment matching problem; operator Sylvester equation; parameterized reduced order models; pole placement; poles-and-zeros; second order reduced model; zero preservation; Approximation methods; Equations; Helium; Iron; Mathematical model; Poles and zeros; Reduced order systems;
Conference_Titel :
American Control Conference (ACC), 2012
Conference_Location :
Montreal, QC
Print_ISBN :
978-1-4577-1095-7
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2012.6314704