Adaptive Approach to Solving a Two-Point Boundary Value Problem under Partial Uncertainty of the Disturbance Field

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Abstract

We consider the construction of an adaptive algorithm for solving a boundary value problem ensuring that a trajectory issuing from some point hits a finite-size target at a given time under partial uncertainty in the disturbance field. Although the disturbance field has a component that is unknown in explicit form but is still important for hitting a target of given size, we have constructed an iteration procedure for solving the problem in finitely many steps under a number of conditions. The algorithm is based on trial trajectories and uses the measurement of their deviations from the target center as a feedback; this proves sufficient to compensate for the incompleteness of information about the external disturbance field
Translated title of the contributionОб адаптивном подходе к решению двухточечной краевой задачи в условиях частичной неопределенности возмущающего поля
Original languageEnglish
Article number82:1
Pages (from-to)93-101
Number of pages9
JournalAutomation and Remote Control
Volume82
Issue number1
DOIs
StatePublished - 25 Feb 2021

Keywords

  • adaptive control
  • uncertainty conditions
  • two-point boundary value problem
  • differential equations

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