用新型鲁棒模型提升超声引导手术机器人安全性
Robust-Sub-Gaussian Model Predictive Control for Safe Ultrasound-Image-Guided Robotic Spinal Surgery
- 提出亚高斯噪声模型刻画图像估计误差
- 在仿真中实现100%安全率的闭环控制
- 适合医疗机器人与高维感知系统开发者
高维传感数据(如图像、点云)在自动驾驶和机器人手术等安全关键领域应用时,控制依赖从这些数据中估计的低维状态。但估计误差分布复杂且未知,传统概率模型难以建模,导致安全保证困难。本文提出一种新方法:用具有有界均值的亚高斯噪声表征一般估计误差,并发展了线性系统中该误差传播的鲁棒集方法,结合亚高斯方差代理的传播机制。进一步构建了在该噪声假设下提供闭环安全保证的模型预测控制(MPC)框架。将该方法应用于超声图像引导的脊柱手术流程,包含基于深度学习的语义分割、图像配准、高层优化规划与底层机器人控制。为验证流程,构建了融合真实人体解剖结构、机器人动力学、高效超声模拟以及呼吸运动与钻孔力的在体数据的仿真环境。仿真评估结果表明,该方法可在复杂图像引导手术任务中确保安全,具备实际应用潜力。
原文摘要 · Abstract (English)
Safety-critical control using high-dimensional sensory feedback from optical data (e.g., images, point clouds) poses significant challenges in domains like autonomous driving and robotic surgery. Control can rely on low-dimensional states estimated from high-dimensional data. However, the estimation errors often follow complex, unknown distributions that standard probabilistic models fail to capture, making formal safety guarantees challenging. In this work, we introduce a novel characterization of these general estimation errors using sub-Gaussian noise with bounded mean. We develop a new technique for uncertainty propagation of proposed noise characterization in linear systems, which combines robust set-based methods with the propagation of sub-Gaussian variance proxies. We further develop a Model Predictive Control (MPC) framework that provides closed-loop safety guarantees for linear systems under the proposed noise assumption. We apply this MPC approach in an ultrasound-image-guided robotic spinal surgery pipeline, which contains deep-learning-based semantic segmentation, image-based registration, high-level optimization-based planning, and low-level robotic control. To validate the pipeline, we developed a realistic simulation environment integrating real human anatomy, robot dynamics, efficient ultrasound simulation, as well as in-vivo data of breathing motion and drilling force. Evaluation results in simulation demonstrate the potential of our approach for solving complex image-guided robotic surgery task while ensuring safety.
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