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Reachability Using Arbitrary Performance Indices

delete2015-04-01
delete12
PRE
AI
M
Marcus J. Holzinger *
D
Daniel J. Scheeres
J
John Hauser
DOI:10.1109/TAC.2015.2391451delete
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摘要

摘要

En 中文
The problem of optimal reachability set computation with alternate performance indices and independent parameters for smooth value functions is motivated and examined. A General Independent Parameter Hamilton Jacobi Bellman PDE formulation is derived and an independent parameter mapping function is defined. Performance index metric properties are leveraged to define Generalized Metric Range Sets. For Newtonian systems it is shown that singular independent parameter mappings can be circumvented using constants of motion. Finally, the motivating problem is solved using the central results of this technical note to generate free-time, Delta v-constrained orbital metric range sets.
Keyword:
Hamilton Jacobi Bellman partial differential equation (HJB PDE)
Reachability
Range
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期刊

IEEE Transactions on Automatic Control 封面图
IEEE Transactions on Automatic Control
IF:
7
论文数:
1.3W
被引数:
6.7W

机构

G
Georgia Institute of Technology
学者数:
1.8W
论文数: 1.4W
被引数: 5.9W
U
university system of georgia
学者数:
7.3W
论文数: 6.5W
被引数: 101
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