A Probabilistic Method for Certification of Analytically Redundant Systems

ADDSAFE (2012). ADDSAFE: Advanced Fault Diagnosis for Sustainable Flight Guidance and Control, European 7th Framework Program, http://addsafe.deimos-space.com/.Search in Google Scholar

Aldous, D. (1989). Probability Approximations via the Poisson Clumping Heuristic, Springer-Verlag, New York, NY.10.1007/978-1-4757-6283-9Search in Google Scholar

Asmussen, S.R. and Glynn, P.W. (2007). Stochastic Simulation: Algorithms and Analysis, Springer, New York, NY.10.1007/978-0-387-69033-9Search in Google Scholar

Belcastro, C. and Belcastro, C. (2003). On the validation of safety critical aircraft systems, Part I: An overview of analytical and simulation method, Proceedings of the AIAA Conference of Guidance, Navigation and Control, GNC 2003, Austin, TX, USA, paper no. AIAA 2003-5559.Search in Google Scholar

Bleeg, R. (1988). Commercial jet transport fly-by-wire architecture considerations, AIAA/IEEE Digital Avionics Systems Conference, San Jose, CA, USA, pp. 399-406.Search in Google Scholar

Brook, D. and Evans, D.A. (1972). An approach to the probability distribution of CUSUM run length, Biometrika 59(3): 539-549.10.1093/biomet/59.3.539Search in Google Scholar

Chen, J. and Patton, R. (1999). Robust Model-Based Fault Diagnosis for Dynamic Systems, Kluwer, Boston, MA.10.1007/978-1-4615-5149-2Search in Google Scholar

Collinson, R. (2011). Introduction to Avionic Systems, 3rd Edition, Springer, New York, NY.10.1007/978-94-007-0708-5Search in Google Scholar

Ding, S. (2008). Model-Based Fault Diagnosis Techniques: Design Schemes, Algorithms, and Tools, Springer-Verlag, Berlin.Search in Google Scholar

Efimov, D., Cieslak, J., Zolghadri, A. and Henry, D. (2013). Actuator fault detection in aircraft systems: Oscillatory failure case study, Annual Reviews in Control 37(1): 180-190.10.1016/j.arcontrol.2013.04.007Search in Google Scholar

Egan, J. (1975). Signal Detection Theory and ROC Analysis, Academic Press, New York, NY.Search in Google Scholar

Embrechts, P., Kluppelberg, C. and Mikosch, T. (1997). Modelling Extremal Events for Insurance and Finance, Springer, New York, NY.10.1007/978-3-642-33483-2Search in Google Scholar

Fawcett, T. (2006). An introduction to ROC analysis, Pattern Recognition Letters 27(8): 861-874.10.1016/j.patrec.2005.10.010Search in Google Scholar

Freeman, P., Pandita, R., Srivastava, N. and Balas, G. (2013). Model-based and data-driven fault detection performance for a small UAV, IEEE Transactions on Mechatronics 18(4): 1300-1309.10.1109/TMECH.2013.2258678Search in Google Scholar

Goupil, P. (2010). Oscillatory failure case detection in the A380 electrical flight control system by analytical redundancy, Control Engineering Practice 18(9): 1110-1119.10.1016/j.conengprac.2009.04.003Search in Google Scholar

Goupil, P. (2011). AIRBUS state of the art and practices on FDI and FTC in flight control system, Control Engineering Practice 19(6): 524-539.10.1016/j.conengprac.2010.12.009Search in Google Scholar

Gustafsson, F., °Aslund, J., Frisk, E., Krysander, M. and Nielsen, L. (2008). On threshold optimization in fault-tolerant systems, Proceedings of the IFAC World Congress, Seoul, Korea, pp. 7883-7888.Search in Google Scholar

Heller, M., Niewoehner, R. and Lawson, P.K. (2001). F/A-18E/F super hornet high-angle-of-attack control law development and testing, Journal of Aircraft 38(5): 841-847.10.2514/2.2869Search in Google Scholar

Hu, B. and Seiler, P. (2013). A probabilistic method for certification of analytically redundant systems, Proceedings of the 2nd International Conference of Control and Fault-Tolerant Systems, SysTol 2013, Nice, France, pp. 13-18.Search in Google Scholar

Isermann, R. (2006). Fault-Diagnosis Systems: An Introduction from Fault Detection to Fault Tolerance, Springer-Verlag, Berlin. 10.1007/3-540-30368-5Search in Google Scholar

Isermann, R. and Ballé, P. (1997). Trends in the application of model-based fault detection and diagnosis of technical processes, Control Engineering Practice 5(5): 709-719.10.1016/S0967-0661(97)00053-1Search in Google Scholar

Krasich, M. (2000). Use of fault tree analysis for evaluation of system-reliability improvements in design phase, Proceedings of the IEEE Annual Reliability and Maintainability Symposium, RAMS 2000, Los Angeles, CA, USA, pp. 1-7.Search in Google Scholar

Lee, W., Grosh, D., Tillman, A. and Lie, C. (1985). Fault tree analysis, methods, and applications: A review, IEEE Transactions on Reliability 34(3): 194-203.10.1109/TR.1985.5222114Search in Google Scholar

Lucas, J.M. and Saccucci, M.S. (1990). Exponentially weighted moving average control schemes: Properties and enhancements, Technometrics 32(1): pp. 1-12.Search in Google Scholar

Murthy, D., Xie, M. and Jiang, R. (2004). Weibull Models, John Wiley & Sons, Hoboken, NJ.Search in Google Scholar

Nakagawa, T. and Osaki, S. (1975). The discrete Weibull distribution, IEEE Transactions on Reliability 24(5): 300-301.10.1109/TR.1975.5214915Search in Google Scholar

Patton, R.J. and Chen, J. (1991). Robust fault detection using eigenstructure assignment: A tutorial consideration and some new results, Proceedings of the IEEE Conference on Decision and Control, CDC 1991, Brighton, UK, pp. 2242-2247. Search in Google Scholar

Åslund, J., Biteus, J., Frisk, E., Krysander, M. and Nielsen, L. (2007). Safety analysis of autonomous systems by extended fault tree analysis, International Journal of Adaptive Control and Signal Processing 21(2-3): 287-298.10.1002/acs.934Search in Google Scholar

Rausand, M. and Hoyland, A. (2004). System Reliability Theory: Models, Statistical Methods, and Applications, Wiley-Interscience, Hoboken, NJ.Search in Google Scholar

Renfrow, J., Liebler, S. and Denham, J. (1994). F-14 flight control law design, verification, and validation using computer aided engineering tools, Proceedings of the IEEE Conference on Control Applications, CCA 1994, Glasgow, UK, pp. 359-364.Search in Google Scholar

Robert, C. and Casella, G. (2004). Monte Carlo Statistical Methods, Springer, New York, NY.10.1007/978-1-4757-4145-2Search in Google Scholar

Rubino, G. and Tuffin, B. (2009). Rare Event Simulation Using Monte Carlo Methods, Wiley, New York, NY.10.1002/9780470745403Search in Google Scholar

Singpurwalla, N.D. (2006). Reliability and Risk: A Bayesian Perspective, John Wiley & Sons, Chichester.10.1002/9780470060346Search in Google Scholar

Stein, W. and Dattero, R. (1984). A new discrete Weibull distribution, IEEE Transactions on Reliability 33(2): 196-197.10.1109/TR.1984.5221777Search in Google Scholar

United States Congress (2012). House resolution 658: FAA modernization and reform act of 2012, Section 332: Integration of civil unmanned aircraft systems into national airspace system.Search in Google Scholar

Vanek, B., Bauer, P., Gozse, I., Lukatsi, M., Reti, I. and Bokor, J. (2014). Safety critical platform for mini UAS insertion into the common airspace, Proceedings of the AIAA Guidance, Navigation and Control Conference, GNC 2014, National Harbor, MD, USA, AIAA-2014-0977.10.2514/6.2014-0977Search in Google Scholar

Wheeler, T.J., Seiler, P., Packard, A.K. and Balas, G.J. (2011). Performance analysis of fault detection systems based on analytically redundant linear time-invariant dynamics, Proceedings of the American Control Conference, ACC 2011, San Francisco, CA, USA, pp. 214-219.Search in Google Scholar

Willsky, A.S. and Jones, H.L. (1976). A generalized likelihood ratio approach to the detection and estimation of jumps in linear systems, IEEE Transactions on Automatic Control 21(1): 108-112.10.1109/TAC.1976.1101146Search in Google Scholar

Yeh, Y. (1996). Triple-triple redundant 777 primary flight computer, Proceedings of the 1996 IEEE Aerospace Applications Conference, Aspen, CO, USA, pp. 293-307.Search in Google Scholar

Yeh, Y. (2001). Safety critical avionics for the 777 primary flight controls system, Proceedings of the 20th Digital Avionics Systems Conference, DASC 2001, Daytona Beach, FL, USA, pp. 1.C.2.1-1.C.2.11. Search in Google Scholar