A Study of Conditional Diffusion Models for Open-Loop Control under Dry Friction and Stiction

📅 2026-09-01
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🤖 AI Summary
研究使用Action Diffusion模型生成控制序列,以解决干摩擦和静摩擦条件下的开环控制问题,相比其他方法减少终端误差和卡顿步骤。
📝 Abstract
Diffusion models have recently emerged as expressive generative priors for planning and control. This paper studies Action Diffusion, an action-sequence diffusion formulation used as an open-loop proposal distribution for a point-mass system with dry friction and stiction. In this benchmark, motion starts only when the applied input exceeds a static-friction threshold, so effective controls occupy a small and temporally structured subset of the action-sequence space. A compact conditional 1D U-Net generates bounded control sequences conditioned on initial and target states. We compare it with uniform random shooting, random shooting from the same structured dataset prior, and the Cross-Entropy Method (CEM). Results show that Action Diffusion reduces terminal error and stuck steps, especially in low-sample regimes. These results indicate that conditional diffusion provides an effective mechanism for generating temporally coherent control sequences that overcome stiction by conditioning and recombining structured control primitives from the training prior for state-to-state open-loop control.
Problem

Research questions and friction points this paper is trying to address.

dry friction
stiction
open-loop control
Innovation

Methods, ideas, or system contributions that make the work stand out.

Action Diffusion
Conditional Diffusion Models
Dry Friction and Stiction
1D U-Net
Open-Loop Control
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Eric Aislan Antonelo
Department of Automation and Systems Engineering (EAS), Federal University of Santa Catarina (UFSC), Florianópolis, SC, Brazil