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Method for identifying linear system parameters by adopting linear kernel of support vector machine

A technology of support vector machine and kernel support vector machine, which is applied in the field of system identification and modeling, and can solve the problems of difficult data model and correspondence of model expressions.

Inactive Publication Date: 2017-03-08
TIANJIN UNIV
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Problems solved by technology

On the other hand, even though these methods can identify the system, it is difficult for the identified data model to correspond to the parameterized model expression of the actual system

Method used

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  • Method for identifying linear system parameters by adopting linear kernel of support vector machine
  • Method for identifying linear system parameters by adopting linear kernel of support vector machine
  • Method for identifying linear system parameters by adopting linear kernel of support vector machine

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Embodiment Construction

[0010] According to the physical model mechanism and corresponding characteristics, the present invention determines the structure and order N of the model by collecting the input and output data of a fully excited linear system, and then constructs a parameterized input and output difference equation. On this basis, the autoregressive The input and output data of the input and output data are used as the training data of the support vector machine, adopt the linear kernel to carry out the regression training, thus obtain the input and output support vector machine system model of the data model, then according to the equivalent principle of the system model, according to the method of the present invention, deduce to be determined system parameters, so as to obtain a complete identification system model. On this basis, according to the model and the sampling period, the frequency domain transformation can be performed to become the transfer function model of the Z domain and t...

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Abstract

The invention relates to a method for identifying linear system parameters by adopting a linear kernel of a support vector machine. The method comprises the following steps of determining an input u(k) and an output y(k) of a system if the system is a to-be-identified system, and applying a step input signal, a pulse signal or a pseudorandom M sequence signal to the system for enabling a mode of the system to be fully stimulated; if the system is a self-adjusting system, selecting a proper sampling cycle by applying a step interference or pulse interference signal, and recording input data and output data of the whole process; pre-estimating a system structure, a system order and an input order according to mechanism properties and response properties of the system, and determining a linear system difference equation with parameters; training the input and output data by adopting the linear kernel support vector machine; and obtaining to-be-determined system parameters according to a system model equivalency principle, thereby obtaining a complete identification system model. According to the method, system dynamic can be better reflected and the response properties of the system are closer to those of a real system.

Description

technical field [0001] The invention relates to the field of system identification and modeling, in particular to the identification of linear system parameters. Background technique [0002] System identification is to determine the mathematical model describing the behavior of the system according to the input and output time functions of the system. The purpose of establishing a mathematical model through identification is to estimate the important parameters that characterize the behavior of the system, establish a model that can imitate the behavior of the real system, use the current measurable system input and output to predict the future evolution of the system output, and make the identified model consistent with the actual System match. Classical system identification methods include step response method, impulse response method, frequency response method, correlation analysis method, spectral analysis method, least square method and maximum likelihood method, etc...

Claims

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Application Information

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IPC IPC(8): G06F17/50G06Q50/06
CPCG06F30/20G06Q50/06
Inventor 何熠梁晓东
Owner TIANJIN UNIV
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