Coursecode: wb2301
Coursename: System Identification A

DUT creditpoints: 5
ECTS creditpoints: 8

Subfaculty of Mechanical Engineering and Marine Technology

Lecturer(s): Lunteren, dr.ir. A. van

Tel.: 015-2782126

Catalog data:
Non-parametric system identification based on spectral density estimates. application in open and closed loop systems.

Courseyear: 3
Semester: 0/0/0/0/4
Hours p/w: 4
Other hours:
Assessment:
See remarks
Assessm.period(s): See remarks
(see academic calendar)

Prerequisites: wb2307

Follow up: wb2403/5

Detailed description of topics:

  • Problems in obtaining relations between spectral densities and transfer functions starting from time domain derivations

  • A modified Fourier Transform for stochastic processes.

  • Application to relations between transfer functions and spectral densities in a closed loop and to identification of multivariable systems in open and closed loops.

  • Fourier Transform of sampled data by using a dirac comb. Shannon's Theorem. The Discrete Fourier Transform (DFT) and the Fast Fourier Transform (FFT).

  • The z-transform and its relation to the DFT.

  • Description of discrete noise by means of its shaping filter. AR-, MA-, and ARMA-processes.

  • Estimation of mean-lagged-product functions, covariance functions and correlation functions. Properties of the estimators for these functions.

  • Estimation of spectral densities according to the classical method based on transformation of covariance function estimates; transformation windows.

  • Estimation of spectral densities based on transformation of signals. Comparison with the classical method.

  • Properties of estimators for spectral densities, transfer functions and coherency functions.

Course material:
Lecturenotes "Signaalanalyse'' (in Dutch), Van Lunteren / Dankelman.

References from literature:

  • Jenkins G.M. and Watts D.G. (1968). Spectral analysis and its applications. Holden Day, San Francisco.

  • Priestly M.B. (1981). Spectral analysis and time series. Academic Press, London. ISBN 0-12-564922-3.

Remarks (specific information about assesment, entry requirements, etc.):
Assessment: combination of written and oral made by appointment one day every month

Goals:
Being able to apply non-parametric system idetification techniques of which the theoretical basis is given in course wb2307. Being able to recognise and avoid the pitfalls inherent to working with estimators and taking into account that in general measurements have to be executed in closed loop systems.

Computer use:

Excercises on a PC with a number of available MATLAB-programs.

Laboratory project(s):

Design content:

Percentage of design: 0%