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Motion trajectory prediction of quadruped robots in complex terrain by improving the transformer temporal modeling
XiaoChuan Qian1, XiaoBin Lan2, HaiMing Zhu2
1Institute of Technology, Xi'an International University, Xi'an, 710077, Shan'xi, China. qianxiaochuan@xaiu.edu.cn.
Scientific Reports
|May 19, 2026
Summary
This study introduces an improved Transformer algorithm for quadruped robot motion prediction in complex terrain. The novel approach enhances trajectory accuracy and real-time performance, improving robot stability.
Area of Science:
- Robotics
- Artificial Intelligence
- Machine Learning
Background:
- Quadruped robot trajectory prediction in complex terrain is challenged by foot-to-ground contact transients and multi-scale temporal dependencies.
- Traditional Transformer models face limitations in simultaneously capturing short-term impacts and long-range gait patterns under real-time constraints.
Purpose of the Study:
- To propose an improved Transformer temporal modeling algorithm for enhanced motion prediction in complex terrain for quadruped robots.
- To validate the potential of Transformers in accurately modeling contact transients and gait patterns.
Main Methods:
- Integration of multi-scale hybrid attention mechanisms, specifically local-sparse global hybrid attention, for capturing both short-term impacts and long-range dependencies.
- Adaptation of non-uniform sampling with relative temporal encoding to highlight key transient features.
- Parallel fusion of information from different time domains using a dynamic gated feedforward network and a multi-scale temporal encoder.
Main Results:
- Achieved a short-term Final Displacement Error (FDE) of 0.018 m, a significant reduction compared to traditional Transformers.
- Demonstrated high accuracy on gravel (0.095 m FDE) and sloping terrains (0.130 m FDE).
- Maintained a low inference latency of 12.45 ms, balancing performance and accuracy.
Conclusions:
- The proposed framework effectively balances real-time performance and high accuracy for quadruped robot trajectory prediction in complex environments.
- The method significantly enhances the stability and reliability of future motion predictions for quadruped robots.
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