Title :
A unifying construction of orthonormal bases for system identification
Author :
Ninness, Brett ; Gustafsson, Fredrik
Author_Institution :
Dept. of Electr. & Comput. Eng., Newcastle Univ., Callaghan, NSW, Australia
fDate :
4/1/1997 12:00:00 AM
Abstract :
This paper develops a general and very simple construction for complete orthonormal bases for system identification. This construction provides a unifying formulation of many previously studied orthonormal bases since the common FIR and recently popular Laguerre and two-parameter Kautz model structures are restrictive special cases of the construction presented here. However, in contrast to these special cases, the basis vectors in the unifying construction of this paper can have arbitrary placement of pole position according to the prior information the user wishes to inject. Results characterizing the completeness of the bases and the accuracy properties of models estimated using the bases are provided
Keywords :
identification; pole assignment; state-space methods; Laguerre model; SISO linear time invariant system; orthonormal bases; system identification; two-parameter Kautz model; unifying construction; Automatic control; Delay effects; Distributed feedback devices; Equations; Feedback loop; Optimal control; Propagation delay; Robust stability; Structural beams; System identification;
Journal_Title :
Automatic Control, IEEE Transactions on
