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: onefor the growth of the body and the other for the elongation of the tip. At any given time, theangular 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 ``breakdownconfiguration"" is reached. Some numerical simulations are performed to test the effectiveness of ourfeedback control algorithm.
SOIL SEARCHING BY AN ARTIFICIAL ROOT
Ancona F.
;
2022
Abstract
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: onefor the growth of the body and the other for the elongation of the tip. At any given time, theangular 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 ``breakdownconfiguration"" is reached. Some numerical simulations are performed to test the effectiveness of ourfeedback control algorithm.Pubblicazioni consigliate
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