Semi-smooth Newton Methods for Time-Optimal Control for a Class of ODEs

reportActive / Technical Report | Accession Number: ADA556943 | Open PDF

Abstract:

Time optimal control problems for a class of linear multi-input systems are considered. The problems are regularized and the asymptotic and monotone behavior of the regularisation procedure is investigated. For the regularised problems the applicability of semi-smooth Newton methods is verified. First numerical tests are presented which show that the proposed approach, differentialy from other methods, does not rely a-priory information of the switching structure.

Author(s):
Ito, Kazufumi ; Kunisch, Karl
Author Organization(s):
NORTH CAROLINA STATE UNIV AT RALEIGH CENTER FOR RESEARCH IN SCIENTIFIC COMPUTATION
Descriptive Note:
Technical rept.
Supplementary Note:
Sponsored in part by AFOSR.
Pagination:
0026

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release
Distribution Statement:
Approved For Public Release; Distribution Is Unlimited.

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
CRSC-TR10-04
Contract/Grant Number(s):
DAAD19-02-1-0394, FA9550-09-1-0226
Monitor Series:
ARO
 Subject Terms
Joint Capability Areas:
JCA_5_Command and Control; JCA_5.3_Planning
Modernization Areas:
Quantum Science and Computing
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*CONTROL THEORY, OPTIMIZATION
Field(s)/Group(s):
Cybernetics
Keyword(s):
REGULARIZATION, TIME OPTIMAL CONTROL
Report Date:
2010 Feb 12
Creation Date:
2012 Apr 11