This paper elaborates a class of linear L∞ approximation algorithms generated by φ-weighted partial sums of biorthogonal expansion in Laguerre and Kautz basis. This problem arises typically as the first step of the "two-step" identification under ℋ∞ criterion. Bounds on the the partial sum operators and on the L∞ norm of the approximation error are derived. A frequency domain identification procedure is proposed where the model parameters are computed by DFT of appropriately transformed data.
- Fourier analysis
- Identification algorithms
- Model approximation
ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering