A Stability Analysis Method of MIMO Cascaded System Based on Impedance Ratio Matrix

A back-ratio matrix and cascade system technology, applied in general control systems, control/regulation systems, testing/monitoring control systems, etc., can solve the problem of large conservative criteria, and achieve narrowing the forbidden area, small conservativeness, and realizing Ease of the process

Inactive Publication Date: 2018-06-19
SOUTHWEST JIAOTONG UNIV
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Problems solved by technology

Belkhayat et al. extended the impedance stability analysis method of SISO cascade system to MIMO cascade system, and proposed methods such as singular value criterion and norm criterion, which are simpler than the method of linear system theory, but such criterion More conservative

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  • A Stability Analysis Method of MIMO Cascaded System Based on Impedance Ratio Matrix
  • A Stability Analysis Method of MIMO Cascaded System Based on Impedance Ratio Matrix
  • A Stability Analysis Method of MIMO Cascaded System Based on Impedance Ratio Matrix

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Embodiment Construction

[0044] Embodiments of the present invention will be described in detail below in conjunction with the accompanying drawings and examples.

[0045] This embodiment is implemented on the premise of the technical solution of the present invention, and a detailed implementation process is given, but the protection scope of the present invention is not limited to the following embodiments.

[0046] This embodiment takes a train-network cascading system connected to a CRH5 type EMU in a high-speed railway as an example.

[0047] Including the calculation of the equivalent source impedance of the front traction network side system, the calculation of the equivalent load admittance of the rear EMU side system, the calculation of the transfer function of the vehicle-network cascade system and the return ratio matrix, and the estimated return ratio matrix eigenvalues And limit its distribution area, set up restricted areas and obtain low conservative system stability analysis results. ...

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Abstract

The invention discloses a stability analysis method of MIMO cascaded system based on impedance ratio matrix, which takes the high-speed train network cascaded system as the object, including deriving the equivalent pre-stage output impedance of the computing system, and deriving the equivalent post-stage output impedance of the computing system Level input admittance, calculate the overall transfer function of the system and obtain the return ratio matrix, estimate the eigenvalues ​​of the return ratio matrix and limit its distribution area, set forbidden areas in the distribution area of ​​eigenvalues, and obtain the stability criterion of MIMO system with reduced conservatism. Deriving the equivalent output impedance of the previous stage and the input admittance of the latter stage of the calculation system is the premise of obtaining the overall transfer function of the system and the necessary condition for further obtaining the return ratio matrix of the cascaded system; range, further reducing the basis for the conservatism of the criterion. This criterion method is suitable for the stability analysis of MIMO cascade system, which can analyze the stability of MIMO cascade system simply and effectively, and is less conservative than the existing singular value criterion and norm criterion.

Description

technical field [0001] The invention relates to the field of automatic control and system stability analysis, in particular to a multiple-input multiple-output (MIMO) cascaded system stability analysis method based on an impedance-response ratio matrix. Background technique [0002] There are various types of automatic control systems in actual production applications, but they can only work normally when they meet the stability conditions. Therefore, system stability analysis is a crucial issue in the field of automatic control. [0003] Methods in classical control theory, such as Nyquist criterion, Bode diagram analysis, etc., can analyze the stability of single-input single-output (SISO) systems. Middlebrook proposed a stability criterion based on the impedance ratio function for the cascaded SISO system. Later, many scholars promoted the Middlebrook impedance criterion based on the concept of forbidden area, which reduced the conservatism of the criterion. Most of the ...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G05B23/02
CPCG05B23/0243G05B2219/24065
Inventor 刘志刚廖一橙张桂南姚书龙向川
Owner SOUTHWEST JIAOTONG UNIV
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