Optimal strategies for the control of autonomous vehicles in data assimilation

被引：4
作者：
McDougall, D. [1 ]
Moore, R. O. [2 ]
机构：
[1] Univ Texas Austin, Inst Computat Engn & Sci, 201 E 24th St,Stop C0200, Austin, TX 78712 USA
[2] New Jersey Inst Technol, Dept Math Sci, Newark, NJ 07102 USA
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2017年 / 351卷
关键词：
Bayesian inverse problem; Lagrangian data assimilation; Optimal control; Ocean glider; ENSEMBLE KALMAN FILTER; CARLO SAMPLING METHODS; METEOROLOGICAL OBSERVATIONS; INVERSE PROBLEMS; ALGORITHMS; EQUATIONS; 4D-VAR; CHAINS; FIELD;
D O I：
10.1016/j.physd.2017.04.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose a method to compute optimal control paths for autonomous vehicles deployed for the purpose of inferring a velocity field. In addition to being advected by the flow, the vehicles are able to effect a fixed relative speed with arbitrary control over direction. It is this direction that is used as the basis for the locally optimal control algorithm presented here, with objective formed from the variance trace of the expected posterior distribution. We present results for linear flows near hyperbolic fixed points. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：42 / 52
页数：11
相关论文
共 67 条
[1]  
Anderson JL, 2003, MON WEATHER REV, V131, P634, DOI 10.1175/1520-0493(2003)131<0634:ALLSFF>2.0.CO
[2]  
2
[3]  
[Anonymous], 2018, Applied optimal control: optimization, estimation and control
[4]  
[Anonymous], 1989, Distributed parameter systems: Theory and applications
[5]  
[Anonymous], 2001, Sequential Monte Carlo methods in practice
[6]   Data assimilation: Mathematical and statistical perspectives [J].
Apte, A. ;
Jones, C. K. R. T. ;
Stuart, A. M. ;
Voss, J. .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2008, 56 (08) :1033-1046
[7]  
Apte A, 2008, TELLUS A, V60, P336, DOI 10.1111/J.1600-0870.2007.00295.X
[8]   Sampling the posterior: An approach to non-Gaussian data assimilation [J].
Apte, A. ;
Hairer, M. ;
Stuart, A. M. ;
Voss, J. .
PHYSICA D-NONLINEAR PHENOMENA, 2007, 230 (1-2) :50-64
[9]   On adaptive Markov chain Monte Carlo algorithms [J].
Atchadé, YF ;
Rosenthal, JS .
BERNOULLI, 2005, 11 (05) :815-828
[10]   An adaptive version for the Metropolis Adjusted Langevin algorithm with a truncated drift [J].
Atchade, Yves F. .
METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2006, 8 (02) :235-254
1234567