Enhanced koopman control method for hysteretic nonlinear system

By integrating inverse hysteresis compensation and Koopman operator control methods, a Koopman model of a pseudo-linear system is established, which solves the problem of precise modeling and control of hysteresis nonlinear systems, and achieves higher control accuracy and efficiency.

WO2025055068A1 Publication Date: 2025-03-20SOUTHEAST UNIV
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Patent Information

Application Number
PCT/CN2023/127200
Authority / Receiving Office
WO · WO
Patent Type
Applications
Current Assignee / Owner
Priority Date
2023-09-11
Filing Date
2023-10-27
Publication Date
2025-03-20

AI Technical Summary

Technical Problem

The high complexity of hysteresis nonlinear systems makes it difficult to accurately model and control anomalies, and existing control methods such as inverse hysteresis compensation and Koopman-based controls have accuracy and performance limitations.

Method used

The control based on inverse hysteresis compensation and the control based on Koopman operator are integrated. First, a hysteresis model is established and inverse are inverted, a pseudo-linear system is constructed, and then a Koopman model of the pseudo-linear system is established in a data-driven manner to design a controller.

Benefits of technology

Through the pseudo-linear system, it significantly weakens the hysteresis nonlinear dynamics, simplifies the design of observation functions, improves the accuracy of Koopman model, improves control accuracy and efficiency, and provides new solutions for the precise control of hysteresis nonlinear systems.

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Abstract

An enhanced Koopman control method for a hysteretic nonlinear system. In the method, control based on inverse hysteresis compensation is fused with control based on a Koopman operator, wherein, first, an original system is transformed into a pseudo-linear system by means of inverse hysteresis compensation, a Koopman linear model of the pseudo-linear system is then established in a data drive manner, and finally, a controller is designed on the basis of the Koopman model. Compared with a conventional control method based on inverse hysteresis compensation, an advanced model-based linear controller can be designed on the basis of a Koopman model, thereby effectively improving the control precision and efficiency; moreover, compared with a control method based on a Koopman operator, Koopman modeling is performed on the basis of a pseudo-linear system, thereby greatly simplifying the process of designing an observation function, improving the precision of the Koopman model, and providing a new possibility for further improving the control performance.
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