Aerospace and Electronic Systems Magazine September 2017 - 14

Graceful Degradation and Recovery from GNSS Interruptions
filters starts growing. This causes the weights associated with that
filter to become smaller and thus play less of roll in the final state
estimate used by the UAV flight controller.
While the filtering approach was shown to be effective in
dealing with GNSS denial, like any engineering solution, this architecture represents a comprise among many competing requirements. As such, it has some drawbacks when compared with the
traditional aerospace approach of hardware redundancy for dealing
with failed sensors. We note two of them here, because they are the
focus on ongoing work. First, the computational overhead associated with this approach can be high, especially if a large number of
parallel filters are used. By limiting the number of inputs to each
blending filter to two, the computational overhead was made manageable. While increasing the number of inputs to each blender
provides flexibility, the computations associated with maintaining knowledge of correlations between parallel filters will lead
to computational burdens that cannot be handled by the typical
small processors found on most small UAV FCSs. Thus, methods
for streamlining the computations so that they are not computer
resource intensive is important. One promising approach is to use
covariance intersection or bounded covariance inflation filters [9].
This allows placing of bounds on the correlations that can exist
between parallel filters and thus obviates the need for the computation to propagate interfilter correlation.
The second issue that needs further exploration is the way in
which blending weights are computed. A key input to calculating the weights (as well as the triggers for the fault detection and
isolation algorithm) are the covariances estimated by the various
parallel filters. This can be problematic if the covariances used by
the parallel filter do not match the true statistics. This can lead to
turning off a particular filter when no faults were present or, worse,
retaining a filter with a failed sensor in the blended solution. Thus,
integrating the decentralized filtering with fault detection and isolation schemes is essential. In addition, quantifying its ability to
deal with loss of signal in terms of metrics such as false alarm rates
(i.e., reducing the magnitude of blending weights when there was
no need to do so) or missed detection rates (keeping a blending
weight at a large value when it should be reduced) is important in
safety-critical UAV applications.

REFERENCES
[1]

[2]

[3]

[4]

14

[5]

[6]

[7]

[8]

[9]

[10]

[11]

[12]

[13]
[14]
[15]

[16]

[17]

Trawny, N., Mourikis, A. I., Roumeliotis, S. I., and Montgomery, J. F.
Coupled vision and inertial navigation for pin-point landing. Journal
of Field Robotics-Special Issue on Space Robotics, Vol. 24, 5 (Apr.
2007), 357-378.
Frietsch, N., Meister, O., Schlaile, C., Seibold, J., and Trommer, G.
F. Vision based hovering and landing system for a VTOL-MAV with
geo-localization capabilities. In Proceedings of AIAA Guidance, Navigation, and Control Conference and Exhibit, Aug. 2008, 18.21.
Veth, M., and Raquet, J. Fusion of low-cost imagining and inertial
sensors for navigation. In Proceedings of the 19th International Technical Meeting of the Satellite Division of The Institute of Navigation
(ION GNSS 2006), Fort Worth, TX, Sept. 26-29, 2006.
Indelman, V., Gurfil, P., Rivilin, E., and Rotstein, H. Real-time mosaic-aided aerial navigation: I. Motion estimation. In Proceedings of

[18]

[19]

[20]

[21]

IEEE A&E SYSTEMS MAGAZINE

AIAA Guidance, Navigation, and Control Conference, Vol. 10-13,
Aug. 2009.
Indelman, V., Gurfil, P., Rivlin, E., and Rotstein, H. Real-time mosaic-aided aerial navigation: II. Sensor fusion. In Proceedings of AIAA
Guidance, Navigation, and Control Conference, 2009.
Liu, Y., Guan, Y. L., Garmatyuk, D., and Quitin, F. Improved exit path
identification with indoor USRP-based radar system. In Proceedings of the ION 2015 Pacific PNT Meeting, Honolulu, HI, June 2015,
355-364.
Campbell, J., de Haag, M. U., and van Graas, F. Terrain reference navigation using airborne laser scanner (ALASCA): Preliminary flight
test results. In Proceedings of the 60th Annual Meeting of the Institute
of Navigation, Dayton, OH, June 2004, 671-678.
Layh, T., Larson, J., Jackson, J., Taylor, B., and Gebre-Egziabher, D.
A recovery system for SUAV operations in GPS-denied environments
using timing advance measurements. In Proceedings of the 2015 International Technical Meeting of the Institute of Navigation, Dana
Point, CA, Jan. 2015, 293-303.
Mokhtarzadeh, H. Correlated-data fusion and cooperative aiding in
GNSS-stressed or denied environments. Ph.D. dissertation, University
of Minnesota, Twin Cities, Sept. 2014. Available: http://hdl.handle.
net/11299/167999.
Gebre-Egziabher, D., Hayward, R., and Powell, J. Design of multisensor attitude determination systems. IEEE Transactions on Aerospace and Electronic Systems, Vol. 40, 2 (Apr. 2004), 627-649.
Speyer, J. L. Computation and transmission requirements for a decentralized linear-quadratic-gaussian control problem. IEEE Transactions on Automatic Control, Vol. 24, 2 (Apr. 1979), 266-269.
Bierman, G. J., and Belzer, M. A decentralized square root information filter/smoother. In Proceedings of the 24th IEEE Conference on
Decision and Control, Fort Lauderdale, FL, Dec. 1985, 293-303.
Groves, P. D. Principles of GNSS, Inertial, and Integrated Navigation
Systems. Norwood, MA: Artech House, 2008.
Kayton, M., and Fried, W. R. Avionics Navigation Systems. Hoboken,
NJ, USA: John Wiley & Sons, 1997.
Kerr, T. Decentralized filtering and redundancy management for multisensor navigation. IEEE Transactions on Aerospace and Electronic
Systems, Vol. 23, 1 (Jan. 1987), 83-119.
Carlson, N. A. Federated square root filter for decentralized parallel
processors. IEEE Transactions on Aerospace and Electronic Systems,
Vol. 26, 3 (Aug. 1990), 517-525.
Shah, M. M. Sub-optimal filtering theory for interacting control systems. Ph.D. dissertation, Cambridge University, United Kingdom, 1971.
Call, C., Ibis, M., McDonald, J., and Vanderwerf, K. Performance of
Honeywell's inertial/GPS hybrid (high) for RNP operations. In Proceedings of the 2006 IEEE/ION Position, Location, and Navigation
Symposium, Coronado, CA, Apr. 2006.
Chu, C., Lie, F., and Gebre-Egziabher, D. Dual hypothesis filter for
robust camera/INS fusion. In Proceedings of the 2013 International
Technical Meeting of the Institute of Navigation, San Diego, CA, Jan.
2013, 792-802.
Bar-Shalom, Y., Li, X. R., and Kirubarajan, T. Estimation with Applications to Tracking and Navigation. Hoboken, NJ: Wiley-Interscience, 2001.
Layh, T., and Gebre-Egziabher, D. A fault-tolerant, integrated navigation system architecture for UAVS. In Proceedings of the 2015 Inter-

SEPTEMBER 2017


http://hdl.handle.net/11299/167999 http://hdl.handle.net/11299/167999

Table of Contents for the Digital Edition of Aerospace and Electronic Systems Magazine September 2017

No label
Aerospace and Electronic Systems Magazine September 2017 - No label
Aerospace and Electronic Systems Magazine September 2017 - Cover2
Aerospace and Electronic Systems Magazine September 2017 - 1
Aerospace and Electronic Systems Magazine September 2017 - 2
Aerospace and Electronic Systems Magazine September 2017 - 3
Aerospace and Electronic Systems Magazine September 2017 - 4
Aerospace and Electronic Systems Magazine September 2017 - 5
Aerospace and Electronic Systems Magazine September 2017 - 6
Aerospace and Electronic Systems Magazine September 2017 - 7
Aerospace and Electronic Systems Magazine September 2017 - 8
Aerospace and Electronic Systems Magazine September 2017 - 9
Aerospace and Electronic Systems Magazine September 2017 - 10
Aerospace and Electronic Systems Magazine September 2017 - 11
Aerospace and Electronic Systems Magazine September 2017 - 12
Aerospace and Electronic Systems Magazine September 2017 - 13
Aerospace and Electronic Systems Magazine September 2017 - 14
Aerospace and Electronic Systems Magazine September 2017 - 15
Aerospace and Electronic Systems Magazine September 2017 - 16
Aerospace and Electronic Systems Magazine September 2017 - 17
Aerospace and Electronic Systems Magazine September 2017 - 18
Aerospace and Electronic Systems Magazine September 2017 - 19
Aerospace and Electronic Systems Magazine September 2017 - 20
Aerospace and Electronic Systems Magazine September 2017 - 21
Aerospace and Electronic Systems Magazine September 2017 - 22
Aerospace and Electronic Systems Magazine September 2017 - 23
Aerospace and Electronic Systems Magazine September 2017 - 24
Aerospace and Electronic Systems Magazine September 2017 - 25
Aerospace and Electronic Systems Magazine September 2017 - 26
Aerospace and Electronic Systems Magazine September 2017 - 27
Aerospace and Electronic Systems Magazine September 2017 - 28
Aerospace and Electronic Systems Magazine September 2017 - 29
Aerospace and Electronic Systems Magazine September 2017 - 30
Aerospace and Electronic Systems Magazine September 2017 - 31
Aerospace and Electronic Systems Magazine September 2017 - 32
Aerospace and Electronic Systems Magazine September 2017 - 33
Aerospace and Electronic Systems Magazine September 2017 - 34
Aerospace and Electronic Systems Magazine September 2017 - 35
Aerospace and Electronic Systems Magazine September 2017 - 36
Aerospace and Electronic Systems Magazine September 2017 - 37
Aerospace and Electronic Systems Magazine September 2017 - 38
Aerospace and Electronic Systems Magazine September 2017 - 39
Aerospace and Electronic Systems Magazine September 2017 - 40
Aerospace and Electronic Systems Magazine September 2017 - 41
Aerospace and Electronic Systems Magazine September 2017 - 42
Aerospace and Electronic Systems Magazine September 2017 - 43
Aerospace and Electronic Systems Magazine September 2017 - 44
Aerospace and Electronic Systems Magazine September 2017 - 45
Aerospace and Electronic Systems Magazine September 2017 - 46
Aerospace and Electronic Systems Magazine September 2017 - 47
Aerospace and Electronic Systems Magazine September 2017 - 48
Aerospace and Electronic Systems Magazine September 2017 - 49
Aerospace and Electronic Systems Magazine September 2017 - 50
Aerospace and Electronic Systems Magazine September 2017 - 51
Aerospace and Electronic Systems Magazine September 2017 - 52
Aerospace and Electronic Systems Magazine September 2017 - 53
Aerospace and Electronic Systems Magazine September 2017 - 54
Aerospace and Electronic Systems Magazine September 2017 - 55
Aerospace and Electronic Systems Magazine September 2017 - 56
Aerospace and Electronic Systems Magazine September 2017 - 57
Aerospace and Electronic Systems Magazine September 2017 - 58
Aerospace and Electronic Systems Magazine September 2017 - 59
Aerospace and Electronic Systems Magazine September 2017 - 60
Aerospace and Electronic Systems Magazine September 2017 - 61
Aerospace and Electronic Systems Magazine September 2017 - 62
Aerospace and Electronic Systems Magazine September 2017 - 63
Aerospace and Electronic Systems Magazine September 2017 - 64
Aerospace and Electronic Systems Magazine September 2017 - Cover3
Aerospace and Electronic Systems Magazine September 2017 - Cover4
http://www.brightcopy.net/allen/aesm/34-2s
http://www.brightcopy.net/allen/aesm/34-2
http://www.brightcopy.net/allen/aesm/34-1
http://www.brightcopy.net/allen/aesm/33-12
http://www.brightcopy.net/allen/aesm/33-11
http://www.brightcopy.net/allen/aesm/33-10
http://www.brightcopy.net/allen/aesm/33-09
http://www.brightcopy.net/allen/aesm/33-8
http://www.brightcopy.net/allen/aesm/33-7
http://www.brightcopy.net/allen/aesm/33-5
http://www.brightcopy.net/allen/aesm/33-4
http://www.brightcopy.net/allen/aesm/33-3
http://www.brightcopy.net/allen/aesm/33-2
http://www.brightcopy.net/allen/aesm/33-1
http://www.brightcopy.net/allen/aesm/32-10
http://www.brightcopy.net/allen/aesm/32-12
http://www.brightcopy.net/allen/aesm/32-9
http://www.brightcopy.net/allen/aesm/32-11
http://www.brightcopy.net/allen/aesm/32-8
http://www.brightcopy.net/allen/aesm/32-7s
http://www.brightcopy.net/allen/aesm/32-7
http://www.brightcopy.net/allen/aesm/32-6
http://www.brightcopy.net/allen/aesm/32-5
http://www.brightcopy.net/allen/aesm/32-4
http://www.brightcopy.net/allen/aesm/32-3
http://www.brightcopy.net/allen/aesm/32-2
http://www.brightcopy.net/allen/aesm/32-1
http://www.brightcopy.net/allen/aesm/31-12
http://www.brightcopy.net/allen/aesm/31-11s
http://www.brightcopy.net/allen/aesm/31-11
http://www.brightcopy.net/allen/aesm/31-10
http://www.brightcopy.net/allen/aesm/31-9
http://www.brightcopy.net/allen/aesm/31-8
http://www.brightcopy.net/allen/aesm/31-7
https://www.nxtbookmedia.com