Title :
Minimal partial realization from orthonormal basis function expansions
Author :
Heuberger, P.S.C. ; de Hoog, T.J. ; Van den Hof, P.M.J. ; Szabo, Z. ; Bokor, J.
Author_Institution :
Dept. of Appl. Phys., Delft Univ. of Technol., Netherlands
Abstract :
Given an expansion of a dynamical system in terms of a generalized orthonormal (Hambo) basis, the problem of realizing a state-space model of minimal McMillan degree such that its first N expansion coefficients match the given ones is addressed and solved. For the solution use is made of the properties of the Hambo operator transform theory. The resulting realization algorithms can be applied in an exact and approximative sense and can also be applied to solve a related interpolation problem
Keywords :
identification; interpolation; state-space methods; transfer functions; transforms; Hambo transform; McMillan degree; dynamical system; identification; interpolation; orthonormal basis function; state-space model; transfer functions; Approximation algorithms; Automatic control; Automation; Context modeling; Control system synthesis; Finite impulse response filter; Hydrogen; Interpolation; Physics; Transfer functions;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980433
