Spacecraft Debris Avoidance Using Positively Invariant Constraint Admissible Sets

Abstract

This technology described a technique for spacecraft maneuver planning that uses positively-invariant sets in order to avoid collisions with debris, while adhering to specified thrust limits. The approach is based on hopping between neighborhoods of equilibria in a virtual net, and maintaining the spacecraft trajectory within a tube formed by safe positively-invariant sets. For the case where thrust limits can be specified as polyhedral norm bounds, we have shown that the thrust limit on the growth distance can be easily computed; it is, in fact, feasible to perform these computations onboard a spacecraft in order to account for thruster failure or degradation. We described an extension in the presence of moving debris using contractive constraint admissible sets in order to avoid collisions. Lastly, we illustrated that the approach can be extended to include unmeasured bounded disturbances.

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Document Details

Document Type
Technical Report
Publication Date
Jul 11, 2013
Accession Number
ADA589935

Entities

People

  • Ilya Vladimir

Organizations

  • University of Michigan

Tags

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Algorithms
  • Collision Avoidance
  • Computations
  • Debris
  • Guidance
  • Kalman Filters
  • Linear Programming
  • Maneuvers
  • Orbits
  • Relative Motion
  • Space Debris
  • Spacecraft
  • Spacecraft Trajectories
  • Trajectories
  • Vehicles

Readers

  • Graph Algorithms and Convex Optimization.
  • Robotics and Automation.

Technology Areas

  • Space
  • Space - Orbital Debris
  • Space - Spacecraft Maneuvers