Fractional order PFC method of industrial heating furnace system

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...

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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 controlling such objects, which requires us to study controllers with good control performance to control such fractional-order models. The actual plant being described

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