Analyse et étude comparative de méthodes d'identification des systèmes à représentation continue : développement d'une boite à outils logicielle

Abstract : The work presented in this thesis deals with the identification of systems represented by a linear time-invariant continuous-time mode. It more precisely relates to the analysis, the implementation and the comparative study of 17 parametric estimation methods of continuous-time model directly from sampled inputs/outputs data. This work is divided into four main parts. The first part presents the issue associated with the identification of continuous-time model and illustrates from simple and didactic examples the principal advantages of this approach compared to the "traditional" discrete- time model identification methods. The second part is dedicated to the analysis of the 17 methods. Those are divided into three families which al'e the linear filters, the modulating functions and integral methods. These techniques consist in avoiding the problem of the derivation of the inputs/outputs signais by applying linear transformations to them. The third part deals with aspects such as the digital implementation or the problem concerning the choice of the design parameters of each approach. This study, undertaken on simulation examples, led not only to propose a methodology of choice of these design parameters, and to clearly expose the advantages and the limitations of each technique, but also to develop a series of functions forming an original toolbox for the software Matlab. Lastly, the fourth part presents the comparative study of the various methods at the same time on a simulated example and real signais from laboratory facilities. The conditions of experimentation were defined in order to highlight the influence of the following parameters nature of the input signal, value of the sampling period relating to the characteristics of the system, signal to noise ratio, spectrum of the noise, estimated order of the system. This study has led to a synthetic table built from various subjective and qualitative criteria.
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Theses
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http://docnum.univ-lorraine.fr/prive/SCD_T_1999_0016_MENSLER.pdf
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https://hal.univ-lorraine.fr/tel-01747052
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Submitted on : Thursday, March 29, 2018 - 10:50:11 AM
Last modification on : Monday, April 16, 2018 - 10:40:34 AM

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Michel Mensler. Analyse et étude comparative de méthodes d'identification des systèmes à représentation continue : développement d'une boite à outils logicielle. Autre. Université Henri Poincaré - Nancy 1, 1999. Français. ⟨NNT : 1999NAN10016⟩. ⟨tel-01747052⟩

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