Title :
System identification with generalized orthonormal basis functions
Author :
Van den Hof, Paul M J ; Heuberger, Peter S C ; Bokor, Joózsef
Author_Institution :
Dept. of Mech. Eng. and Control Group, Delft Univ. of Technol., Netherlands
Abstract :
A least squares identification method is studied that estimates a finite number of expansion coefficients in the series expansion of a transfer function, where the expansion is in terms of generalized basis functions. The basis functions are orthogonal in H2 and generalize the pulse, Laguerre and Kautz (1954) bases. The construction of the basis is considered and bias and variance expressions of the identification algorithm are discussed. The basis induces a new transformation (Hambo transform) of signals and systems, for which state space expressions are derived
Keywords :
identification; least squares approximations; state-space methods; transfer functions; transforms; Hambo transform; Kautz bases; Laguerre bases; bias expressions; expansion coefficients; generalized orthonormal basis functions; least-squares identification method; pulse bases; series expansion; state-space expressions; system identification; transfer function; variance expressions; Automatic control; Automation; Control systems; Hilbert space; Least squares approximation; Network address translation; Public healthcare; State-space methods; System identification; Transfer functions;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411667
