Title :
Nonlinear rational approximation using generalized orthonormal basis
Author :
Szabo, Z. ; Bokor, J. ; Schipp, F.
Author_Institution :
Dept. of Numerical Anal., Eotvos Lorand Univ., Budapest, Hungary
Abstract :
Nonlinear rational approximation is discussed by solving a Nehari type approximation problem when the system transfer function is modeled by weighted partial sums of generalized orthonormal expansions. Two solutions are presented, the first is carried out in a state space framework and the second follows a more direct approach, transforming the original problem to an H∞ optimization problem. The orthonormal basis is generated by finite Blaschke products specified by the pole locations of the system. This makes possible to incorporate a priori knowledge about flexible structures obtaining a low order representation of the system.
Keywords :
approximation theory; optimisation; state-space methods; transfer functions; H∞ optimization problem; Nehari-type approximation problem; direct approach; finite Blaschke products; flexible structures; generalized orthonormal basis; generalized orthonormal expansions; low-order system representation; nonlinear rational approximation; orthonormal basis; pole locations; state space framework; system transfer function; weighted partial-sums; Control systems; Finite impulse response filters; Linear approximation; Optimization; Robustness; Transfer functions; H∞ identification; rational approximation;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
