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Multi-stimulation identification method for multivariable linear continuous system

A continuous system and identification method technology, applied in the field of multiple excitation identification, can solve problems such as low efficiency and loss of identification accuracy

Inactive Publication Date: 2017-05-31
SHANGHAI UNIVERSITY OF ELECTRIC POWER
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Problems solved by technology

This indirect method is not only inefficient, but also loses identification accuracy due to inevitable discretization errors and model transformation errors

Method used

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  • Multi-stimulation identification method for multivariable linear continuous system
  • Multi-stimulation identification method for multivariable linear continuous system
  • Multi-stimulation identification method for multivariable linear continuous system

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Embodiment Construction

[0024] A multivariable linear continuous system identification method proposed by the present invention can be briefly described as: if the input-output relationship of the identified multivariable linear continuous system can be defined as formula (1), and the multivariable linear continuous system model of the system It can be expressed as in formula (2), and the identification data obtained by doing m times of identification stimulation tests can be used to identify its model (as defined in formula (3)). The condition that the model can be accurately identified is the existence of the inverse matrix of the identification excitation signal matrix (as defined in formula (4)) composed of m identification excitation signal vectors.

[0025] Y(s)=G(s)U(s) (1)

[0026] In the formula: system output: Y(s)=[Y 1 (s) Y 2 (s) … Y q (s)] T , Y j (s)(j=1,2,…,q) is the jth output y j (t) Laplace transform;

[0027] System input: U(s)=[U 1 (s) U 2 (s) … U m (s)] T , U i (s)(i=...

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Abstract

The invention relates to a multi-stimulation identification method for a multivariable linear continuous system. The multi-stimulation identification method comprises the following steps: carrying out model identification on a multivariable linear continuous system with m-dimensional inputs; supposing that m groups of identification stimulation tests are carried out and the dimension of each group of the tests is m, forming an m*m-dimensional stimulation signal matrix by virtue of m groups of stimulation signals, wherein when the rank of the matrix is m (namely identifying that the identified stimulation signal matrix is full rank and an inverse matrix exists), a system model can be effectively identified under the action of the identified stimulation signal matrix, otherwise, the identified system model is invalid. According to the multi-stimulation identification method, guiding rules are provided for the stimulation signal design of multivariable system identification tests and the multivariable system identification.

Description

technical field [0001] The invention relates to an experimental signal processing technology, in particular to an excitation signal design requirement for identification of a multivariable linear continuous system and a multiple excitation identification method for a multivariable linear continuous system. Background technique [0002] With the development of science and technology and social economy, modern industrial equipment is becoming larger and more complex. Coupling and correlation between links are common in the production process composed of many links. This kind of coupling and association shows that a certain input variable of the system will affect multiple output variables at the same time, or that a certain output variable will be affected by multiple input variables. This coupling and correlation pair has become a key difficult factor affecting multivariable system modeling and multivariable system control. The research on multivariable system identificatio...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B13/04
CPCG05B13/04
Inventor 徐春梅袁晗杨平康英伟
Owner SHANGHAI UNIVERSITY OF ELECTRIC POWER
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