论文标题
土壤搜索人造根
Soil searching by an artificial root
论文作者
论文摘要
我们建模人造根，该根在土壤中生长以进行地下勘探。它的进化是由两个整体差分方程的受控系统描述的：一个用于身体的生长，另一个用于尖端的伸长。在任何给定时间，通过用状态约束解决最小化问题，可以获得根的角速度。我们证明了进化问题的解决方案，直到第一次达到“崩溃配置”。进行了一些数值模拟，以测试我们的反馈控制算法的有效性。
We model an artificial root which grows in the soil for underground prospecting. Its evolution is described by a controlled system of two integro-partial differential equations: one for the growth of the body and the other for the elongation of the tip. At any given time, the angular velocity of the root is obtained by solving a minimization problem with state constraints. We prove the existence of solutions to the evolution problem, up to the first time where a "breakdown configuration" is reached. Some numerical simulations are performed, to test the effectiveness of our feedback control algorithm.
