journal article·2025-08-18Open access

A Credibility-Based Self-Evolution Algorithm for Equipment Digital Twins Based on Multi-Layer Deep Koopman Operator

Hongbo Cheng, Lin Zhang, Kunyu Wang, Han Lu, Yihan Guo

Applied Sciences· Volume 15· Issue 16

Abstract

In the context of Industry 4.0 and intelligent manufacturing, the scale and complexity of complex equipment systems are continuously increasing, making effective high-precision modeling, simulation, and prediction in the engineering field significant challenges. Digital twin technology, by establishing real-time connections between virtual models and physical systems, provides strong support for the real-time monitoring, optimization, and prediction of complex systems. However, traditional digital twin models face significant limitations when synchronizing with high-dimensional nonlinear and non-stationary dynamical systems due to the latter’s dynamic characteristics. To address this issue, we propose a multi-layer deep Koopman operator-based (MDK) credibility-based self-evolution algorithm for equipment digital twins. By constructing multiple time-scale embedding layers and combining deep neural networks for observability function learning, the algorithm effectively captures the dynamic features of complex nonlinear systems at different time scales, enabling their global dynamic modeling and precise analysis. Furthermore, to enhance the model’s adaptability, a trustworthiness-based evolution-triggering mechanism and an adaptive model fine-tuning algorithm are designed. When the digital twin model’s trustworthiness assessment indicates a decline in prediction accuracy, the evolution mechanism is automatically triggered to optimize and update the model with the fine-tuning algorithm to maintain its stability and robustness during dynamic evolution. The experimental results demonstrate that the proposed method achieves significant improvements in prediction accuracy within unmanned aerial vehicle (UAV) systems, showcasing its broad application potential in intelligent manufacturing and complex equipment systems.
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Research context

OpenAlex topics: Advanced Decision-Making Techniques · Advanced Sensor and Control Systems · Smart Grid and Power Systems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Hangzhou International Innovation Institute of Beihang University, No. 166 Shuanghongqiao Street, Pingyao Town, Yuhang District, Hangzhou 311115, China

School of Automation and Electrical, Beihang University, Xueyuan Road, Beijing 100191, China

The State Key Laboratory of Intelligent Manufacturing Systems Technology, Beijing 100854, China

Funding

National Natural Science Foundation of China

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