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A Furnace Temperature Control Method Based on Fractional Model Predictive Control

A technology of model predictive control and temperature control method, applied in the field of automation

Active Publication Date: 2017-12-29
HANGZHOU DIANZI UNIV +1
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

PID control is widely used in the field of industrial process control, but the control effects of traditional PID control methods and model predictive control (MPC) methods on fractional order systems cannot meet the requirements of higher and higher control accuracy, which requires us to study A controller with good control performance to control the actual plant described by the fractional order model

Method used

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  • A Furnace Temperature Control Method Based on Fractional Model Predictive Control
  • A Furnace Temperature Control Method Based on Fractional Model Predictive Control
  • A Furnace Temperature Control Method Based on Fractional Model Predictive Control

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Experimental program
Comparison scheme
Effect test

Embodiment Construction

[0062] Take the temperature process control of the heating furnace in the actual process as an example:

[0063] The fractional order model is obtained from the real-time temperature data of the heating furnace, and the heating time in a control cycle is adjusted by controlling the duty cycle, so as to realize the temperature control of the heating furnace.

[0064] Step 1. Establish the extended state space model of the heating furnace temperature object in the actual process. The specific method is:

[0065] 1.1 Collect the real-time step response data of the actual heating furnace temperature object, and use the data to establish the fractional order transfer function model of the temperature object, the form is as follows:

[0066]

[0067] Among them, α 1 is the differential order, c 0 ,c 1 is the corresponding coefficient, s is the Laplace transform operator, K is the model gain of the temperature object, and τ is the lag time of the temperature object model.

[0...

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Abstract

The invention discloses a heating furnace temperature control method for predictive control of a fractional-order model in an extended state space, so as to maintain the stability of the fractional-order system and ensure good control performance. The present invention first uses the Oustaloup approximation method to approximate the fractional-order model to an integer-order high-order model, establishes an extended state-space model based on the approximate high-order model, and then introduces the fractional-order calculus operator into the objective function, and then based on the extended state-space model and selection The objective function of the fractional order predictive function controller is designed. The present invention can be well applied to the actual process object described by the fractional-order model, improves the shortcomings of the integer-order MPC method to control the fractional-order system, increases the degree of freedom for adjusting controller parameters, and obtains good control performance. And can well meet the needs of the actual industrial process.

Description

technical field [0001] The invention belongs to the technical field of automation, and relates to a heating furnace temperature control method of fractional model predictive control (FMPC). Background technique [0002] In the actual industrial control process, as the requirements for product control accuracy and safe operation are getting higher and higher, many complex objects cannot be accurately described by integer-order differential equations, and fractional-order differential equations can describe objects more accurately. Characterize and evaluate product performance. PID control is widely used in the field of industrial process control, but the control effects of traditional PID control methods and model predictive control (MPC) methods on fractional order systems cannot meet the requirements of higher and higher control accuracy, which requires us to study A controller with good control performance is used to control the actual controlled object described by the f...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G05B13/04
Inventor 张日东勒其兵
Owner HANGZHOU DIANZI UNIV