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

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...

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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

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