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Cross-Entropy Based Probabilistic Analysis of VEGA Launcher Performance

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Advances in Aerospace Guidance, Navigation and Control

Abstract

In this paper, a cross entropy based simulation technique is presented for characterising the probability profile of performance of the closed loop Vega launcher model. The paper describes a theoretical development of the technique, develops an algorithm for its use in probability profile generation, and presents the results of the implementation on the Vega model. The results demonstrate the efficacy of the tool, and its benefits in industrial control system analysis.

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References

  1. Box, G.E.P., Draper, N.R.: Empirical Model Building and Response Surfaces. John Wiley & Sons, New York (1987)

    Google Scholar 

  2. Hanson, J.M., Beard, B.B.: Applying Monte Carlo Simulation to Launch Vehicle Design and Requirements Analysis, NASA Marshall Space Flight Center, HuntsvilleTechnical Publication ID 20100038453 (2010)

    Google Scholar 

  3. Zhou, K., Doyle, J.C., Glover, K.: Robust and Optimal Control. Prentice Hall, New Jersey (1996)

    Google Scholar 

  4. Biannic, J.-M., Roos, C., Knauf, A.: Design and robustness analysis of fighter aircraft flight control laws. European Journal of Control 12(1), 71–85 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  5. Ray, L.R., Stengel, R.F.A.: Monte Carlo Approach to the Analysis of Control System Robustness. Automatica 29, 229–236 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  6. Fielding, C., Varga, A., Bennani, S., Selier, M.: Advanced Techniques for Clearance of Flight Control Laws. Springer (2002)

    Google Scholar 

  7. Charbonnel, C.: H  ∞  Controller Design and Analysis: Powerful Tools for Flexible Satellite Attitude Control. In: Proceedings of AIAA Guidance, Navigation and Control Conference and Exhibit, Toronto, Canada, August 2-5 (2010)

    Google Scholar 

  8. Menon, P.P., Bates, D.G., Postlethwaite, I.: Nonlinear Robustness Analysis of Flight Control Laws for Highly Augmented Aircraft. Control Engineering Practice 15(6), 655–662 (2007)

    Article  Google Scholar 

  9. Menon, P.P., Kim, J., Bates, D.G., Postlethwaite, I.: Clearance of Nonlinear Flight Control Laws Using Hybrid Evolutionary Optimization. IEEE Transactions on Evolutionary Computation 10(6), 689–699 (2006)

    Article  Google Scholar 

  10. Tempo, R., Giuseppe, C., Dabbene, F.: Randomized Algorithms for Analysis and Control of Uncertain Systems: With Applications. Springer (2013)

    Google Scholar 

  11. Khargonekar, P., Tikku, A.: Randomized algorithms for robust control analysis and synthesis have polynomial complexity. In: Proceedings of the IEEE Conference on Decision and Control, vol. 3. IEEE (1996)

    Google Scholar 

  12. Calafiore, G.C., Dabbene, F., Tempo, R.: Research on probabilistic methods for control system design. Automatica 47, 1279–1293 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  13. Balas, G.J., Seiler, P.J., Packard, A.: Analysis of an UAV Flight Control System Using Probabilistic μ. In: Proceedings of the AIAA Guidance, Navigation and Control Conference, Minneapolis, Minnesota, August 13-16, pp. 13–16 (2012)

    Google Scholar 

  14. Tempo, R., Ishii, H.: Monte Carlo and Las Vegas Randomized Algorithms for Systems and Control. European Journal of Control 13, 189–203 (2007)

    Article  MATH  Google Scholar 

  15. Halder, A., Lee, K., Bhattacharya, R.: A Probabilistic Method for Nonlinear Robustness Analysis of F-16 Controllers, arXiv preprint arXiv:1402.0147 (2014)

    Google Scholar 

  16. De Boer, P.T., Kroese, D.P., Mannor, S., Rubinstein, R.Y.: A tutorial on the cross-entropy method. Annals of operations research 134(1), 19–67 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  17. Rubinstein, R.Y., Kroese, D.P.: Simulation and the Monte Carlo Method, Wiley Interscience (2008)

    Google Scholar 

  18. Diaz, E.G.: Design of a robust controller for the VEGA TVC using the μ-synthesis technique, Master’s Thesis, ESA (2011)

    Google Scholar 

  19. Mujumdar, A., Menon, P.P., Edwards, C., Bennani, S.: Characterising the probability profile of performance degradation of a Darwin satellite controller. In: 2014 IEEE European on Control Conference (ECC), pp. 2514–2519 (June 2014)

    Google Scholar 

  20. Bucklew, J.A.: Introduction to Rare Event Simulation. Springer, New York (2004)

    Google Scholar 

  21. Rubinstein, R.Y., Glynn, P.W.: How to deal with the curse of dimensionality of likelihood ratios in Monte Carlo simulation. Stochastic Models 25(4), 547–568 (2009)

    Article  MATH  MathSciNet  Google Scholar 

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Correspondence to Anusha Mujumdar .

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Mujumdar, A., Menon, P.P., Roux, C., Bennani, S. (2015). Cross-Entropy Based Probabilistic Analysis of VEGA Launcher Performance. In: Bordeneuve-Guibé, J., Drouin, A., Roos, C. (eds) Advances in Aerospace Guidance, Navigation and Control. Springer, Cham. https://doi.org/10.1007/978-3-319-17518-8_41

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  • DOI: https://doi.org/10.1007/978-3-319-17518-8_41

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-17517-1

  • Online ISBN: 978-3-319-17518-8

  • eBook Packages: EngineeringEngineering (R0)

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