Abstract
This chapter discusses the Dynamic Data-Driven Applications Systems (DDDAS)-based mathematical approaches associated with the problem of managing a network of static and dynamic sensors to accurately characterize complex dynamical environments. Examples of sensor-network management include assigning a set of sensors for surveillance and tracking multiple ground/aerial/marine targets. Further examples include adaptive sensing of large-scale spatial phenomena such as weather, volcanic eruptions, and pollutants in air or large water bodies. By using information theoretic measures of sensor performance and the value of information predicted by the models, the formulation of optimally tasking a group of sensors to maximize mutual information is detailed. The resulting sensor-tasking optimization problem is shown to be combinatorial in nature, and its computational complexity expands with an increasing number of targets and sensors. Appropriate suboptimal approximations are presented to alleviate this computational complexity of the sensor-tasking problem. The submodular property of the mutual information measure is utilized to provide guarantees on the optimality of different approximations. Numerical simulations involve tracking of aerial and space objects with ground-based sensors and marine objects with sensors mounted on unmanned aerial vehicles. These simulations showcase the efficacy of optimizing the configurations of a limited number of sensor agents to better track multiple noncooperative targets.
This chapter is derived from our earlier publication [7].
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References
Adurthi N (2016) Conjugate unscented transform based methods for uncertainty quantification, nonlinear filtering, optimal feedback control and dynamic sensing. Dissertation, State University of New York at Buffalo, Buffalo, NY
Adurthi N, Singla P (2014) Information driven optimal sensor control for efficient target localization and tracking. In: 2014 American Control Conference, pp 610–615, https://doi.org/10.1109/ACC.2014.6859310
Adurthi N, Singla P, Singh T (2013) Optimal information collection for nonlinear systems- an application to multiple target tracking and localization. In: 2013 American Control Conference, pp 3864–3869, https://doi.org/10.1109/ACC.2013.6580429
Adurthi N, Singla P, Majji M (2014) Conjugate unscented transformation based orbital state estimation and sensor tasking for efficient space surveillance. In: AIAA/AAS Astrodynamics Specialist Conference, p 4168
Adurthi N, Singla P, Majji M (2015) Conjugate unscented transform based approach for dynamic sensor tasking and space situational awareness. In: 2015 American Control Conference (ACC), pp 5218–5223, https://doi.org/10.1109/ACC.2015.7172154
Adurthi N, Singla P, Singh T (2017) Conjugate unscented transformation: Applications to estimation and control. Journal of Dynamic Systems, Measurement, and Control 140(3):030,907–030,907–22, https://doi.org/10.1115/1.4037783, http://dx.doi.org/10.1115/1.4037783
Adurthi N, Singla P, Majji M (2020) Mutual information based sensor tasking with applications to space situational awareness. Journal of Guidance, Control and Dynamics 43(4)
Anderson BDO, Moore JB (1979) Optimal filtering / Brian D. O. Anderson, John B. Moore. Prentice-Hall, Englewood Cliffs, N.J.:
Arasaratnam I, Haykin S (2009) Cubature kalman filter. IEEE transactions on Automatic Control 54(6):1254–1269
Bar-Shalom Y, Kirubarajan T, Li XR (2002) Estimation with Applications to Tracking and Navigation. John Wiley & Sons, Inc., New York, NY, USA
Bates DJ, Hauenstein JD, Sommese AJ, Wampler CW (2006) Bertini: Software for numerical algebraic geometry. Available at http://www.nd.edu/sommese/bertini
Blasch E (2018) Dddas for space applications. Proceedings of SPIE 10641
Blasch E, Kahler B (2005) Multiresolution eo/ir tracking and identification. In: Proceedings of IEEE Conference on Information Fusion
Blasch E, Bosse E, Lambert D (2012) High Level Information Fusion Management and Systems Design. Artech House, Norwood, MA
Blasch E, Yang C, Kadar I (2014) Summary of tracking and identification methods. Proceedings of the IEEE 9119
Blasch E, Ravela S, Aved A (2018) Handbook of dynamic data driven applications systems. Springer
Blasch EP (1999) Derivation of a belief filter for high range resolution radar simultaneous target tracking and identification. PhD thesis, Wright State University
Burer S, Letchford AN (2012) Non-convex mixed-integer nonlinear programming: A survey. Surveys in Operations Research and Management Science 17(2):97–106
Chandra Chekuri, Pal M (2005) A recursive greedy algorithm for walks in directed graphs. In: 46th Annual IEEE Symposium on Foundations of Computer Science (FOCS’05), pp 245–253, https://doi.org/10.1109/SFCS.2005.9
Chen G, Pham K, Blasch E (2019) Sensors and systems for space applications. Optical Engineering 58(4)
Cover TM, Thomas JA (2006) Elements of Information Theory (Wiley Series in Telecommunications and Signal Processing). Wiley-Interscience
Frueh C, Fiedler H, Herzog J (2016) Realistic sensor tasking strategies. In: Advanced Maui Optical and Space Surveillance Technologies Conference
Gehly S, Jones B, Axelrad P (2018a) Sensor allocation for tracking geosynchronous space objects. Journal of Guidance, Control, and Dynamics 41(1):149–163, https://doi.org/10.2514/1.G000421
Gehly S, Jones B, Axelrad P (2018b) Sensor allocation for tracking geosynchronous space objects. Journal of Guidance, Control, and Dynamics 41(1):149–163, https://doi.org/10.2514/1.G000421
Gualdoni MJ, DeMars KJ (2018) The Information Content of Data Arcs for Multi-Step Sensor Tasking. https://doi.org/10.2514/6.2018-0727
Guestrin C, Krause A, Singh AP (2005) Near-optimal sensor placements in gaussian processes. In: Proceedings of the 22nd international conference on Machine learning, ACM, pp 265–272
Henrion D, Lasserre JB (2003) Gloptipoly: Global optimization over polynomials with matlab and sedumi. ACM Transactions on Mathematical Software (TOMS) 29(2):165–194
Ito K, Xiong K (2000) Gaussian filters for nonlinear filtering problems. Automatic Control, IEEE Transactions on 45(5):910–927, https://doi.org/10.1109/9.855552
Jaunzemis AD, Holzinger MJ, Luu KK (2018) Sensor tasking for spacecraft custody maintenance and anomaly detection using evidential reasoning. Journal of Aerospace Information Systems 15(3):131–156, https://doi.org/10.2514/1.I010584
Jazwinski AH (1970) Stochastic processes and filtering theory [by] Andrew H. Jazwinski. Academic Press, New York,
Jia B, Pham KD, Blasch E, Shen D, Wang Z, Chen G (2016) Cooperative space object tracking using space-based optical sensors via consensus-based filters. IEEE Transactions on Aerospace and Electronic Systems 52(4):1908–1936
Julier S, Uhlmann J, Durrant-Whyte H (2000) A new method for the nonlinear transformation of means and covariances in filters and estimators. IEEE Transactions on Automatic Control AC-45(3):477–482
Kahler B, Blasch E (2008) Sensor management fusion using operating conditions. In: 2008 IEEE National Aerospace and Electronics Conference, pp 281–288
Kalman RE (1960) A new approach to linear filtering and prediction problems. Journal of Basic Engineering 82(1):35–45, https://doi.org/10.1115/1.3662552, http://dx.doi.org/10.1115/1.3662552
Kreucher C, Kastella K, Hero III AO (2003) Information based sensor management for multitarget tracking. In: Proc. of SPIE Vol, vol 5204, p 481
Kreucher C, Hero AO, Kastella K (2005a) A comparison of task driven and information driven sensor management for target tracking. In: Proceedings of the 44th IEEE Conference on Decision and Control, pp 4004–4009, https://doi.org/10.1109/CDC.2005.1582788
Kreucher C, Hero I AO, Kastella K (2005b) A comparison of task driven and information driven sensor management for target tracking. In: Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC ’05. 44th IEEE Conference on, pp 4004–4009
Kreucher CM, Kastella KD, Hero III AO (2004) Information-based sensor management for multitarget tracking. In: Signal and Data Processing of Small Targets 2003, International Society for Optics and Photonics, vol 5204, pp 480–489
Kullback S (1997) Information theory and statistics. Courier Corporation
Kullback S, Leibler RA (1951) On information and sufficiency. Annals of Mathematical Statistics 22:79–86
Madankan R, Singla P, Singh T (2015) Parameter estimation of atmospheric release incidents using maximal information collection. In: Ravela S, Sandu A (eds) Dynamic Data-Driven Environmental Systems Science, Springer International Publishing, Cham, pp 310–321
Mahler RP (2014) Advances in statistical multisource-multitarget information fusion. Artech House
Majji M, Junkins JL, Turner JD (2008) A high order method for estimation of dynamic systems. The Journal of the Astronautical Sciences 56(3):401–440
MartÃnez S, Bullo F (2006) Optimal sensor placement and motion coordination for target tracking. Automatica 42(4):661–668
Nemhauser GL, Wolsey LA, Fisher ML (1978) An analysis of approximations for maximizing submodular set functions—i. Mathematical programming 14(1):265–294
Papoulis A (1984) Probability, Random Variables, and Stochastic Processes. McGraw-Hill, NY
Rawlings J, Meadows E, Muske K (1994) Nonlinear model predictive control: A tutorial and survey. IFAC Proceedings Volumes 27(2):185–197, http://dx.doi.org/10.1016/S1474-6670(17)48151-1, iFAC Symposium on Advanced Control of Chemical Processes, Kyoto, Japan, 25–27 May 1994
Soderlund A, Kumar M, Kim D (2018) Rapid clustering for optimal sensor selection in heterogeneous wireless sensor networks. In: 2018 AIAA Guidance, Navigation, and Control Conference, p 1135
Soderlund AA, Kumar M (2019) Optimization of multitarget tracking within a sensor network via information-guided clustering. Journal of Guidance, Control, and Dynamics 42:317–334
Stroud AH, Secrest D (1966) Gaussian Quadrature Formulas. Englewood Cliffs, NJ: Prentice Hall
Tharmarasa R, Kirubarajan T, Hernandez ML (2007) Large-scale optimal sensor array management for multitarget tracking. Systems, Man, and Cybernetics, Part C: Applications and Reviews, IEEE Transactions on 37(5):803–814
Vallado DA, McClain WD (2001) Fundamentals of Astrodynamics and Applications. Space Technology Library, Microcosm Press
Williams PS, Spencer DB, Erwin RS (2013) Coupling of estimation and sensor tasking applied to satellite tracking. Journal of Guidance, Control, and Dynamics 36(4):993–1007
Acknowledgements
This work is based upon work supported by the AFOSR grant FA9550-15-1-0313. Drs. Erik P. Blasch and Frederica Darema are acknowledged for the technical discussions. The authors are also grateful to the anonymous reviewers. Their inputs enhanced the quality of the chapter extensively.
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Adurthi, N., Singla, P., Majji, M. (2023). Dynamic Data-Driven Sensor Tasking with Applications in Space and Aerospace Systems. In: Darema, F., Blasch, E.P., Ravela, S., Aved, A.J. (eds) Handbook of Dynamic Data Driven Applications Systems. Springer, Cham. https://doi.org/10.1007/978-3-031-27986-7_10
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