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Optimal Cost Control Method for Multi-Stage Batch Processes with Time Delays and Disturbances

A cost control, multi-stage technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve problems such as non-existence, and achieve the reduction of running time, maximization of economic benefits, and minimization of production costs. Effect

Active Publication Date: 2021-10-22
LIAONING UNIVERSITY OF PETROLEUM AND CHEMICAL TECHNOLOGY +1
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

Unfortunately, for cases where time lags exist, research in this area does not yet exist

Method used

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  • Optimal Cost Control Method for Multi-Stage Batch Processes with Time Delays and Disturbances
  • Optimal Cost Control Method for Multi-Stage Batch Processes with Time Delays and Disturbances
  • Optimal Cost Control Method for Multi-Stage Batch Processes with Time Delays and Disturbances

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Experimental program
Comparison scheme
Effect test

Embodiment 1

[0095] Such as figure 1 As shown, an optimal cost control method for a multi-stage batch process with time delay and disturbance includes the following steps:

[0096] Step 1: Build an equivalent two-dimensional switched system model

[0097] Step 1.1: Construct a two-dimensional switching state-space model

[0098] In each batch of system operation, according to the discrete state-space models of each stage, an equivalent switching error state-space model with extended information is established.

[0099] For a batch process with time delays and disturbances, the model is described as follows

[0100]

[0101] Among them, k and t respectively represent the batch in which the batch process is located and the running time in the batch, x(t,k+1), y(t,k+1), u(t,k+1) Represent the system state, system output and system input at time t of batch k+1 respectively. d(t) represents the state delay along the time t direction and satisfies d m ≤d(t)≤d M . ρ(·,·):Z + × Z + → ...

Embodiment 2

[0172] The injection molding process is a typical multi-stage batch process, and each batch mainly includes an injection section → a pressure holding section → a cooling section.

[0173] The injection molding cycle generally begins with mold closing. The first is the injection section, whose function is to uniformly plasticize the plastic in the barrel, and then inject the melted material into the cavity through the screw under high speed and high pressure until the cavity is completely filled with the melt. After the injection phase is completed, the system enters the pressure-holding phase, the purpose of which is to allow the polymer to continue to enter the mold cavity to compensate for the volume shrinkage due to cooling and solidification. There is a speed / pressure switch (V / P switch) between the injection phase and the pressure holding phase, and this switching point indicates the end of the injection phase and the beginning of the pressure holding phase. After the pr...

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Abstract

The invention belongs to the field of advanced control of industrial processes, and relates to an optimal cost control method of a multi-stage batch process with time lag and disturbance. First construct a two-dimensional switching state space model, transform the constructed two-dimensional multi-stage state space model into a two-dimensional switching system model, then design a hybrid controller based on the constructed two-dimensional state space model combined with the optimal cost control algorithm, and finally use The controller gains are solved in the form of linear matrix inequalities. The present invention aims at the multi-stage intermittent process with interval time-varying time-delay and interference, and designs the optimal cost-guaranteed controller corresponding to different stages, which not only ensures the stable operation of the intermittent process, but also reduces the operating time of each stage and minimizes the production cost. Enterprise production realizes energy saving and emission reduction, and maximizes economic benefits.

Description

technical field [0001] The invention belongs to the field of advanced control of industrial processes, and relates to an optimal cost control method of a multi-stage batch process with time lag and disturbance. Background technique [0002] In industrial production, due to the influence of factors such as the nonlinearity of the actual process and the external disturbance of the system, the control performance of the control system will decline, resulting in a decrease in production efficiency. If the control quality is not improved in time, it will not only reduce the yield rate but also cause energy waste. With the increasingly high requirements for product refinement and function in production, the high-precision control of batch process has been paid attention to, but the batch process itself has hysteresis characteristics, and information error is a common problem in actual production. One of the important reasons leading to the performance degradation of system contro...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 王立敏刘冰李平张日东于晶贤施惠元
Owner LIAONING UNIVERSITY OF PETROLEUM AND CHEMICAL TECHNOLOGY