State space model extraction method based on linear circuit

A state space model, linear circuit technology, applied in electrical digital data processing, instruments, complex mathematical operations, etc., can solve the problem of difficult to directly obtain the transfer function of complex circuits, and achieve the effect of high speed and high efficiency

Inactive Publication Date: 2019-10-18
CENT SOUTH UNIV
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Problems solved by technology

[0005] The present invention proposes a state space model extraction method based on linear circuits, which can solve the problem that the transfer function of complex circuits is difficult to obtain directly, and obtain controllable normal form or observable normal form realization of the circuit system

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  • State space model extraction method based on linear circuit
  • State space model extraction method based on linear circuit
  • State space model extraction method based on linear circuit

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Embodiment Construction

[0040] The present invention will be further described below in conjunction with specific examples.

[0041] Such as figure 2 circuit shown, the independent voltage source and capacitor , form a purely capacitive loop; inductance , and Form a purely inductive cut set; its transfer function is difficult to obtain directly.

[0042] Such as figure 1 As shown, a state-space model extraction method based on linear circuits includes the following steps:

[0043] Step 1: According to the circuit complex frequency domain analysis principle, the circuit network in the time domain is converted into a circuit network in the S domain. Among them, the capacitance and Converted to the resistance value respectively and resistance; inductance , and Converted to the resistance value respectively , and resistance; the relationship for an independent voltage source turns into ; the resistance remains constant. The obtained S-domain circuit is as image 3 sho...

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Abstract

The invention discloses a state space model extraction method based on a linear circuit network. The method comprises the steps: 1, converting a time-domain circuit network into an S-domain operational circuit network according to a circuit complex frequency domain analysis principle; 2, processing the S-domain operational circuit network by using an improved node method to generate a linear algebraic equation set; 3, solving the linear algebraic equation set by using a symbolic operation tool to obtain a Laplace transformation expression of each circuit variable; 4, selecting a circuit variable as excitation and response, and solving a transfer function of the circuit network; 5, comparing the transfer function molecule with the denominator polynomial coefficient vector dimension; if so,ending all the steps, otherwise, executing the step 6; and 6, converting the transfer function into a true situation, and constructing a state space model by using molecules and denominator polynomialcoefficients of the true situation. The method does not involve a network graph theory, and has the advantages of convenience, quickness, high applicability and the like.

Description

technical field [0001] The invention relates to the technical field of linear system automation and control, in particular to a method for extracting a state space model based on a linear circuit. Background technique [0002] The dynamic analysis of circuits is an important part of circuit analysis and an important means to understand the dynamic and complex behavior of circuit systems. For dynamic analysis of circuits, node analysis method and state variable method are often used. When using the node analysis method to dynamically analyze the circuit, the energy storage elements such as capacitors and inductors are generally equivalent to the parallel connection or series connection of the current source and the resistance by using the numerical integration method, so that the circuit is equivalent to the resistance network at each time point. solve. Since the state of the circuit at any moment cannot be obtained, in recent years, the research on the nodal analysis metho...

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Application Information

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IPC IPC(8): G06F17/50G06F17/12
CPCG06F17/12G06F30/367
Inventor 丁家峰梁健李新梅
Owner CENT SOUTH UNIV
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