Fractional-order PID control design method based on phase margin and cutoff frequency

A technology of cut-off frequency and phase margin, which is applied to controllers with specific characteristics, electric controllers, etc.

Inactive Publication Date: 2017-01-18
INST OF APPLIED MATHEMATICS HEBEI ACADEMY OF SCI
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Problems solved by technology

[0003] The object of the present invention is to provide a kind of fractional-order PID controller design method based on phase margin and cut-off frequency, thus solve the foregoing problems existing in the prior art

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  • Fractional-order PID control design method based on phase margin and cutoff frequency
  • Fractional-order PID control design method based on phase margin and cutoff frequency
  • Fractional-order PID control design method based on phase margin and cutoff frequency

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specific Embodiment

[0097] Aiming at the temperature control system of medium frequency induction furnace, this paper designs a fractional-order PID controller based on the principles of internal model control, fractional-order calculus, and PID control, and based on the phase margin φ of the control system m and the cutoff frequency ω c , to tune the controller parameters, this method can improve the dynamic performance of the control system while ensuring the robustness of the system.

[0098] The design of the fractional order PID controller, the internal model control system structure diagram is as follows figure 1 As shown, where Q(s) is the internal model controller, P(s) is the controlled process, M(s) is the process model, D(s) is the disturbance, R(s) and Y(s) are the control system input and output.

[0099] First, the process model is decomposed into reversible and irreversible parts, where M + (s) is the irreversible part, M _ (s) is the reversible part, namely

[0100] M(s)=M +...

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Abstract

The invention discloses a fractional-order PID control design method based on the phase margin and cutoff frequency, and relates to the technical field of process control application. Aimed at characteristics of large inertia, nonlinearity and model uncertainty in furnace temperature control of an intermediate-frequency induction electric furnace, the method is provided. A controller is derived from internal model control (IMC) and a fractional-order filter, only two adjustable parameters are included, convenience is provided for setting of controller parameters, and parameter setting of the fractional-order (PID) gamma controller is realized based on the phase margin and cutoff frequency of a control system. The method enables that a temperature control system has high set value tracking and interference inhibiting features, and enables higher robustness during parameter perturbation of the system.

Description

technical field [0001] The invention relates to the technical field of process control applications, in particular to a design method of a fractional-order PID controller based on phase margin and cut-off frequency. Background technique [0002] The integer-order PID control has few adjustable parameters, the setting range of the controller parameters is small, and the flexibility of controlling the controlled object is low. Therefore, the integer-order PID control is not effective for the large inertia, nonlinearity, and time-varying characteristics of the intermediate frequency induction furnace. difficult to meet Contents of the invention [0003] The purpose of the present invention is to provide a fractional-order PID controller design method based on phase margin and cut-off frequency, so as to solve the aforementioned problems in the prior art. [0004] In order to achieve the above object, the technical scheme adopted in the present invention is as follows: [00...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B11/42
CPCG05B11/42
Inventor 崔彦军董佳马艳东王志强张海山
Owner INST OF APPLIED MATHEMATICS HEBEI ACADEMY OF SCI
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