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arXiv 2011.02092cs.RO
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基于降阶有限元模型的软体机器人最优控制

Soft Robot Optimal Control Via Reduced Order Finite Element Models

Stanford University(斯坦福大学)

Sander Tonkens, Joseph Lorenzetti, Marco Pavone

摘要:

有限元法已成功地用于开发基于物理的软体机器人模型,该模型捕获由连续变形引起的非线性动力学行为。因此,这些高保真模型是设计复杂的动态任务,如轨迹优化和轨迹跟踪控制器的理想选择。然而,有限元模型通常也是非常高维的,这使得实时控制具有挑战性。在这项工作中,我们提出了一种基于有限元模型控制的软体机器人,利用模型降阶技术,显着提高计算效率的方法。特别是,约束最优控制问题的非线性降阶有限元模型的基础上制定,并通过序列凸规划求解。这种方法是通过模拟电缆驱动的软体机器人的约束轨迹跟踪任务,其中9768维有限元模型用于控制器的设计。

英文摘要:

Finite element methods have been successfully used to develop physics-based models of soft robots that capture the nonlinear dynamic behavior induced by continuous deformation. These high-fidelity models are therefore ideal for designing controllers for complex dynamic tasks such as trajectory optimization and trajectory tracking. However, finite element models are also typically very high-dimensional, which makes real-time control challenging. In this work we propose an approach for finite element model-based control of soft robots that leverages model order reduction techniques to significantly increase computational efficiency. In particular, a constrained optimal control problem is formulated based on a nonlinear reduced order finite element model and is solved via sequential convex programming. This approach is demonstrated through simulation of a cable-driven soft robot for a constrained trajectory tracking task, where a 9768-dimensional finite element model is used for controller design.

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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