Detail výsledku
System Identification in Frequency Domain Using Orthonormal Bases
Vavřín Petr, prof. Ing., DrSc.
Construction of models and estimation of their parametersbelongs among the most common tasks of system control.There are many methods to solve these tasks. This work deals with design of the algorithm for model construction and parameters estimation in frequency domain using a set of orthonormal base functions. The work presents the algorithm that uses two measured points of frequency response of linear dynamic system with continuous time to construct rough second order model with time delay. The next part of the work goes into task of modeling dynamic systems with discrete time using orthonormal base functions and into parameters estimation based on measurement of the series of frequency response points. Properties of orthonormal bases allow us to induce simpler formula for least squares method. Method originally developed for identification of systems with discrete time is also used for continuous time systems where bilinear transform is used as an interconnection between continuous time and discrete time domain. The work also deals with frequency response points measurement. The simple method based on relay feedback with auxiliary time delay has been developed. This method uses method of harmonic linearization to compute points of frequency response at given frequencies.
Identification, orthonormal bases, relay feedback, frequency response
@inproceedings{BUT2896,
author="Pavel {Václavek} and Petr {Vavřín}",
title="System Identification in Frequency Domain Using Orthonormal Bases",
booktitle="Proceedings of the 15th European Simulation Multiconference",
year="2002",
number="1",
pages="439--445",
publisher="SCS Europe",
address="Praha",
isbn="1-56555-225-3"
}