Accession Number:

ADA564028

Title:

Geometric Computational Mechanics and Optimal Control

Descriptive Note:

Final rept. 1 Apr 2008-30 Nov 2010

Corporate Author:

CALIFORNIA INST OF TECH PASADENA

Personal Author(s):

• Desbrun, Mathieu
• Kobilarov, Marin

Report Date:

2011-12-02

Pagination or Media Count:

5.0

Abstract:

The research performed during this AFOSR grant has extended the basic discrete DMOC Discrete Mechanics and Optimal Control framework to derive algorithms for general nonholonomic multi-body systems, with applications to a variety of problems including space mission design. A computational framework was developed which can automatically construct integration and optimization schemes by providing a high-level description of the mechanical system in terms of its physical layout, inertial properties, constraints, actuation, and external influences. This last year of the grant was focused on optimization problems with non-holonomic constraints as well as continued applications to space mission design. Besides describing the latest results and publications obtained over the past 12 months, we also describe the next steps that we expect to explore now that the work of this grant is over.

Descriptors:

• *CONTROL
• *OPTIMIZATION
• ALGORITHMS
• COMPUTATIONS
• MODELS
• SPACECRAFT TRAJECTORIES
• TIME DOMAIN

Subject Categories:

• Operations Research
• Spacecraft Trajectories and Reentry

Distribution Statement:

APPROVED FOR PUBLIC RELEASE