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Fractional order dynamic matrix control method for industrial heating furnace system

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

Active Publication Date: 2016-08-24
HANGZHOU DIANZI UNIV
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Problems solved by technology

For a class of single-input and single-output fractional-order systems, traditional PID control methods and integer-order DMC methods are not very effective in controlling such objects, so it is necessary to study controllers with good control performance to control such fractional-order systems. The actual plant described by the model

Method used

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  • Fractional order dynamic matrix control method for industrial heating furnace system
  • Fractional order dynamic matrix control method for industrial heating furnace system
  • Fractional order dynamic matrix control method for industrial heating furnace system

Examples

Experimental program
Comparison scheme
Effect test

Embodiment Construction

[0072] Take the temperature process control of the heating furnace in the actual process as an example:

[0073] 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.

[0074] Step 1. Establish the fractional step response model of the temperature object in the heating furnace. The specific method is:

[0075] 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:

[0076] c 2 y ( α 2 ) ( t ) + c 1 ...

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Abstract

The invention discloses a fractional order dynamic matrix control method for an industrial heating furnace system. The method comprises the steps of approximating a fractional order model as a high integer order model by adopting an Oustaloup approximation method, implementing a step response experiment based on the approximate high order model, acquiring step response data, acquiring a model vector, then expanding an integer order dynamic matrix control method to the fractional order dynamic matrix control method, introducing a fractional order calculus operator into a target function, and designing a fractional order dynamic matrix controller based on the step response model and the selected target function. The method is applied to a practical process object described by the frictional order model, so that the shortcomings of the integer order DMC method for controlling a fractional order system are overcome, meanwhile, the degree of freedom for adjusting the parameter of the controller is increased, so that good control performance is obtained, and the requirements of the practical industrial process can be well met.

Description

technical field [0001] The invention belongs to the technical field of automation, and relates to a fractional dynamic matrix control (FDMC) 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. Fractional-order differential equations can describe the characteristics of objects more accurately. and evaluate product performance. As one of the advanced control methods, the dynamic matrix control (DMC) method has the characteristics of low model requirements, strong robustness, and simple and easy method for dealing with delays. It has been successfully applied in a large number of actual process control. For a class of single-input and single-output fractional-order systems, traditional PID control methods and integer-orde...

Claims

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Application Information

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IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 汪大卫张日东张俊锋
Owner HANGZHOU DIANZI UNIV
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