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A gap-based self-balanced multi-model decomposition method and system

A multi-model, self-balancing technology, applied in the general control system, control/regulation system, adaptive control, etc., can solve the problems of tediousness and no standard measurement of decomposition results, and achieve the goal of reducing workload and reducing prior knowledge Reliance, the effect of improving decomposition efficiency

Active Publication Date: 2022-04-26
HOHAI UNIV CHANGZHOU
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Problems solved by technology

Later, scholars proposed a multi-model decomposition algorithm based on gap metric, which can reduce the excessive dependence on prior knowledge. However, the selection of decomposition threshold requires certain prior knowledge. In actual operation, it generally needs to be repeatedly debugged many times.
Moreover, there is no standard to measure the decomposition results, and it is basically judged by experience
Or it is necessary to design a controller and judge according to the closed-loop response, which is too cumbersome

Method used

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  • A gap-based self-balanced multi-model decomposition method and system
  • A gap-based self-balanced multi-model decomposition method and system
  • A gap-based self-balanced multi-model decomposition method and system

Examples

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Embodiment 1

[0046] The following examples are given to illustrate the above-mentioned integrated multi-model control method based on PID, and a continuous stirred reactor system (CSTR) is simulated and analyzed.

[0047]

[0048] where C A (mol / l) is the reaction concentration, the input variable is u(min -1 ). C in the equation Ai (1.0mol / l) is the feed concentration, k=0.028min -1 is the rate constant. This system is highly nonlinear, and a single linear controller cannot meet the requirements.

[0049] Adopt the self-balanced multi-model decomposition algorithm of the present invention to carry out multi-model decomposition and control to the CSTR system, and the specific steps are as follows:

[0050] S0. Using the dichotomy method based on the gap metric to grid the CSTR system to obtain 19 grid points. And calculate the linearization model, and use the calculation formula (1) of gap metric to calculate the gap distance between the linearization models;

[0051] S1. Select ...

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Abstract

The invention discloses a gap-based self-equilibrium multi-model decomposition method and system to obtain a linear model set of an approximate nonlinear system. First obtain the number of sub-operation intervals of a round of decomposition; the threshold of the new round of decomposition is based on the threshold of the previous round of decomposition to reduce the step size λ, and under the new threshold, the sub-operations under the threshold of the new round of decomposition are obtained Number of intervals m c ;Compare the number m of sub-operating intervals obtained by the new round of decomposition c Compared with the number of sub-operation intervals obtained in the previous round m c‑1 , if m c >m c‑1 , then the decomposition ends, and the system is finally decomposed into m c‑1 A balanced sub-operating interval. Otherwise, repeat the above steps. Advantages: the present invention reduces the dependence of multi-model decomposition on prior knowledge, establishes clear decomposition standards, reduces the workload caused by tedious debugging, improves decomposition efficiency, simplifies the controller structure, and is beneficial to the improvement of multi-model controllers. The closed-loop performance is of great benefit.

Description

technical field [0001] The invention relates to a gap-based self-balanced multi-model decomposition method and system, and belongs to the technical field of nonlinear system multi-model control. Background technique [0002] In recent years, multi-model control methods have become more and more popular in the field of nonlinear control. The multi-model control method has natural advantages in dealing with the control problems of nonlinear systems with relatively wide operating range and relatively large interference signals. The multi-model control method based on the decomposition-synthesis principle can effectively decompose complex nonlinear control problems into a series of simple linear control problems; and then solve the nonlinear control problems by solving this series of linear control problems. The multi-model control method is widely used in the field of nonlinear control because of its simplification. [0003] The multi-model control method mainly includes thre...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 杜静静陈俊风李建姜学平贾静
Owner HOHAI UNIV CHANGZHOU
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