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arXiv 2002.11043cs.ROcs.SYeess.SYmath.OC
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参数不确定下的安全最优控制

Safe Optimal Control under Parametric Uncertainties

Symbio Robotics(Symbio机器人公司);Georgia Tech(佐治亚理工学院)

Hemanth Sarabu, Venkata Ramana Makkapati, Vinodhini Comandur, Panagiotis Tsiotras, Seth Hutchinson

摘要:

我们使用一种新的正则化,允许权衡最优性与安全性参数不确定性下的安全最优路径规划的问题。所提出的正则化器利用了这样的概念,即碰撞可以被建模为最优控制设置中的约束违反,以便产生具有降低的碰撞风险的开环轨迹。约束违反的风险进行评估,使用状态相关的相关函数和一阶变化的约束函数相对于参数变化。该方法是通用的,可以适用于任何最优控制制定,处理参数不确定性下的约束。利用完整机器人避开多个速度不确定的动态障碍物的仿真结果验证了该方法的有效性。最后,我们介绍了汽车与训练的问题,强调的依赖性,由此产生的风险规避行为的约束函数的形式,用于导出正则化。

英文摘要:

We address the issue of safe optimal path planning under parametric uncertainties using a novel regularizer that allows trading off optimality with safety. The proposed regularizer leverages the notion that collisions may be modeled as constraint violations in an optimal control setting in order to produce open-loop trajectories with reduced risk of collisions. The risk of constraint violation is evaluated using a state-dependent relevance function and first-order variations in the constraint function with respect to parametric variations. The approach is generic and can be adapted to any optimal control formulation that deals with constraints under parametric uncertainty. Simulations using a holonomic robot avoiding multiple dynamic obstacles with uncertain velocities are used to demonstrate the effectiveness of the proposed approach. Finally, we introduce the car vs. train problem to emphasize the dependence of the resultant risk aversion behavior on the form of the constraint function used to derive the regularizer.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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