A method for finite time synchronization and energy consumption prediction of a permanent magnet synchronous motor system based on fuzzy control

Abstract

The application discloses a permanent magnet synchronous motor system finite time synchronization and energy consumption prediction based on fuzzy control. The proportional integral intermediate observer method is adopted to discuss the switching network system containing unknown states and unknown faults. In addition, by constructing a segmented controller containing estimated states and faults, the consistent ultimate boundedness of the estimation error system is ensured, so that the synchronization of the error system is realized. And the mode-dependent criterion is obtained to ensure the consistent ultimate boundedness and synchronization performance.

Description

Technical Field

[0001] This invention relates to a fuzzy control method, specifically to a finite-time synchronization and energy consumption prediction method for a permanent magnet synchronous motor system based on fuzzy control. Background Technology

[0002] Many dynamic models for permanent magnet synchronous motor (PMSM) systems only consider stability, while in practical applications, it is necessary to ensure that the controlled system achieves the predetermined objective within a finite time. Furthermore, the magnitude of energy required for the actual control of PMSM systems must be taken into account; both extreme high and low energy levels can lead to system instability. Therefore, discussing the energy consumption of PMSM systems within a finite time is crucial for ensuring system stability. Based on this idea, researchers have conducted extensive research on the synchronicity and energy consumption prediction of continuous-time PMSM systems, achieving a series of results. Summary of the Invention

[0003] The purpose of this invention is to propose a finite-time synchronization and energy consumption prediction method for permanent magnet synchronous motor systems based on fuzzy control, which can effectively improve the performance of aerospace permanent magnet synchronous motor systems.

[0004] The specific technical solution of the present invention is as follows: a finite-time synchronization and energy consumption prediction method for a permanent magnet synchronous motor system based on fuzzy control, comprising the following steps:

[0005] Under the influence of time delay, a fractional-order permanent magnet synchronous motor system model is established.

[0006] Based on the driver-response system, an error system is established.

[0007] Design a fuzzy controller and provide the corresponding fuzzy law.

[0008] Using the TS fuzzy method, fractional Razumikhin's theorem, Lyapunov's stability theorem, and the properties of fractional calculus, an order-dependent finite-time synchronization criterion is derived, and an upper bound on energy consumption is estimated based on the obtained finite-time criterion.

[0009] For the fractional-order permanent magnet synchronous motor system in reference [1], the following dynamic model is established:

[0010]

[0011] In the formula, These represent the system states, Represents the parameter matrix, This represents the activation function. Indicates control input, Indicates external input. Represents discrete time delay;

[0012] definition Then the error system can be obtained.

[0013]

[0014] in .

[0015] Given the following fuzzy law: If yes yes Then the error system can be further expressed as:

[0016]

[0017] in For fuzzy membership functions, satisfy and ;

[0018] Give the designed controller

[0019]

[0020] in It is a positive constant, and Therefore, under fuzzy control, it can be further written as:

[0021]

[0022] This control scheme can guarantee system synchronization for a finite time, and can estimate the upper bound of energy consumption based on the obtained finite time. The proof is as follows:

[0023] C001: Select the energy function in the following form:

[0024]

[0025] C002: Calculation fractional derivative:

[0026]

[0027] C003: Further, we can obtain:

[0028]

[0029]

[0030]

[0031] C004: Therefore

[0032]

[0033] C005: Among them ;

[0034] C006: Based on the fractional Razumikhin theorem, we know...

[0035]

[0036] C007: Using the properties of fractional calculus, we know We can obtain:

[0037]

[0038] C008: Combining C006 and C007, we can obtain

[0039] C009:

[0040] C010: Therefore, there is

[0041] C011:

[0042] C012: Based on C0011, the finite time is...

[0043] C017:

[0044] C018: Furthermore, it can be seen from C032 that...

[0045] C019:

[0046] C020: Therefore, the upper bound of energy consumption is estimated as follows:

[0047] C021: Attached Figure Description

[0048] Figure 1 For fuzzy membership functions;

[0049] Figure 2-3 A dynamic trajectory diagram of the drive-response state;

[0050] Figure 4 This is a dynamic trajectory diagram of the error system; Detailed Implementation

[0051] The present invention will be further illustrated below with reference to specific embodiments. It should be understood that these embodiments are for illustrative purposes only and are not intended to limit the scope of the invention. After reading the present invention, any modifications of the present invention in various equivalent forms by those skilled in the art will fall within the scope defined by the appended claims.

[0052] A finite-time synchronization and energy consumption prediction method for a permanent magnet synchronous motor system based on fuzzy control includes the following steps:

[0053] Step 1: Set the various system parameters;

[0054] Step 2: Set the system fuzzy law;

[0055] Step 3: Construct the driver-response error system;

[0056] Step 4: Set up the fuzzy controller;

[0057] Step 6: Verify whether the error system achieves finite-time synchronization;

[0058] Step 7: Based on the obtained synchronization time, verify whether the error system reaches the upper limit of energy consumption within a finite time.

[0059] An embodiment of the present invention is described below:

[0060] Consider a class of fuzzy-controlled permanent magnet synchronous motor systems, whose corresponding dynamic models are as follows:

[0061]

[0062] The selected fuzzy membership function is as follows: Figure 1 As shown, the dynamic trajectory diagram of the drive-response state under the fuzzy controller is as follows: Figure 2-3 As shown, the dynamic trajectory of the error system under the fuzzy controller is as follows: Figure 4 As shown

[0063] References

[0064] [1] B. Li, X. Zhao. Neural Network-Based Adaptive Sliding ModeControl for TS Fuzzy Fractional Order Systems. IEEE Transactions on Circuitsand Systems II: Express Briefs. 2023;70:4549-4553.

Claims

1. A finite-time synchronization and energy consumption prediction method for a permanent magnet synchronous motor system based on fuzzy control, characterized in that, Includes the following steps: Under the influence of time delay, a fractional-order time-delay permanent magnet synchronous motor network system model is established, specifically as follows: ， ， ， ， ， ， ， ， ， ， ， In the formula, , These represent the system states, , , Represents the parameter matrix, This represents the activation function. Indicates control input, Indicates external input. Represents discrete time delay; definition Then the error system can be obtained. in ; Given the following fuzzy law: If yes yes Then the error system can be further expressed as: in For fuzzy membership functions, satisfy and ; Design a fuzzy controller containing a sign function and apply it to the error system, specifically: in , It is a positive constant, and Therefore, under fuzzy control, it can be further written as: ， By using the TS fuzzy method, fractional Razumikhin theorem, Lyapunov stability theorem, and fractional calculus properties, a finite-time synchronization criterion dependent on order is derived, and the upper bound of energy consumption is estimated.

2. The finite-time synchronization and energy consumption prediction method for a permanent magnet synchronous motor system based on fuzzy control according to claim 1 provides an order-dependent finite-time synchronization criterion, and then estimates the upper bound of energy consumption. The proof process is as follows: B001: Select the energy function in the following form: B002: Calculation fractional derivative: B003: Further, we can obtain: B004: Therefore B005: Among them , ; B006: Based on the fractional Razumikhin theorem, we know... B007: B008: Using the properties of fractional calculus, we know B009: B0010: Combining B007 and B009, we can obtain... B0011: B0012: Therefore, there is B0013: B0014: Based on B0013, the finite time is... B0015: B0016: Furthermore, as can be seen from B007... B0017: B0018: Therefore, the upper bound of energy consumption is estimated as follows: B0019: 。

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