AUTONOMOUS GUIDANCE AND TARGETING BY SEMI-ALGEBRAIC METHODS FROM LOCAL TO GLOBAL SHOOTING

Abstract

Our project aims at developing new methods for computing global solutions for nonlinear control problems. This is a major challenge in optimal control. Our team federates an expert from computer algebra, in a department of computer science, with an expert of control theory and numerical analysis, in a department of applied mathematics. We will address our challenges in an innovative way, by developing algebraic methods, relying on polynomial systems and mixed symbolic-numerical computation. As a motivating objective, we will target motion planning and space applications requiring methodological breakthrough: motion planning in an environment involving many obstacles, where the determination of the globally optimal trajectory is a challenge because of a large number of locally optimal solutions; challenging space missions involving obstacles and constraints, like cargo missions from the Earth to the Moon, low-thrust orbit transfers with shadow constraints or attitude guidance.

Document Details

Document Type
DoD Grant Award
Publication Date
Aug 11, 2021
Source ID
FA86552017029

Entities

People

  • Emmanuel TrĂ©lat

Organizations

  • Air Force Office of Scientific Research
  • Sorbonne University
  • United States Air Force

Tags

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Space Exploration and Orbital Mechanics.
  • Systems Analysis and Design

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers