Fractional order PFC method of industrial heating furnace system

A predictive function control and predictive function technology, applied in the field of automation, can solve problems such as poor control effect

Active Publication Date: 2015-12-23
HANGZHOU DIANZI UNIV +1
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  • Abstract
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  • Application Information

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Problems solved by technology

For a class of fractional-order systems, traditional PID control methods and integer-order predictive function control methods are not very effective in controll

Method used

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  • Fractional order PFC method of industrial heating furnace system
  • Fractional order PFC method of industrial heating furnace system
  • Fractional order PFC method of industrial heating furnace system

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Experimental program
Comparison scheme
Effect test

Embodiment Construction

[0055] Take the temperature process control of the heating furnace in the actual process as an example:

[0056] The fractional order model is obtained from the real-time temperature data of the heating furnace, and the adjustment method of the temperature control system is to control the opening of the valve.

[0057]Step 1. Establish the fractional-order linear model of the temperature object in the actual process. The specific method is:

[0058] 1.1 Collect the real-time input and output data of the heating furnace temperature object, use the temperature data to establish the fractional order differential equation model of the heating furnace temperature object at time t, the form is as follows:

[0059] c 2 y ( α 2 ) ( t ) + c 1 ...

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Abstract

The invention discloses a fractional order PFC method of an industrial heating furnace system. A traditional PID control method and an integer order PFC method have poor control effects on a kind of fractional order system. The control method of the invention comprises: firstly employing an Oustaloup approximation method to approximate a fractional order system into an integer order system; building a prediction output model based on an Oustaloup approximation model; expanding an integer order PFC method to a fractional order PFC method; introducing a fractional order calculus operator into an object function; and furthermore designing a fractional order prediction function controller based on the prediction model and selected performance indexes. The fractional order PFC method can be well applied to the real process objects described by a fractional order model, omit the order reduction step of the integer order PFC method to control a high order system model, meanwhile increase the flexibility of adjusting controller parameters, and obtain good control performances.

Description

technical field [0001] The invention belongs to the technical field of automation, and relates to a fractional predictive function control (FPFC) method of an industrial heating furnace system. 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. Predictive Function Control (PFC), as one of the advanced control methods, has the characteristics of small amount of calculation, strong robustness, and good control performance, and has been successfully applied in a large number of actual process control. For a class of fractional-order systems, traditional PID control methods and integer-order predictive function control methods are not very ef...

Claims

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Application Information

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IPC IPC(8): G05B13/04
Inventor 邹琴张日东
Owner HANGZHOU DIANZI UNIV
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