Abstract
This chapter describes optimisation algorithms suitable for searching of worst-case pilot manoeuvres. The worst-case behaviour is determined by optimization of suitable criteria capturing the maximum departure of important flight parameters (e.g., angle of attack). The search must be performed over a parameter space consisting of pilot inputs, wind perturbations, aerodynamic coefficient’s uncertainties, and initial flight conditions, by applying global and local optimisation techniques. We present an overview of several local methods (pattern search, cyclic coordinate descent, quasi-Newton) and global methods (genetic algorithms, differential evolution, evolution strategies, dividing rectangles). All these methods have been implemented to cope with the special features of the underlying optimization problem (e.g., noisy functions, large parameter space). The application of these methods is described in Chapter 16.
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Skoogh, D., Berefelt, F.: Final report WP2.5. COFCLUO Technical Report D2.5.5, FOI (January 2010)
Fielding, C., Varga, A., Bennani, S., Selier, M. (eds.): Advanced Techniques for Clearance of Flight Control Laws. LNCIS, vol. 283. Springer, Berlin (2002)
Forssell, L., Sandblom, A.: Optimisation-based clearance: The nonlinear analysis. In: Fielding, C., Varga, A., Bennani, S., Selier, M. (eds.) Advanced Techniques for Clearance of Flight Control Laws. LNCIS, vol. 283, pp. 415–430. Springer, Berlin (2002)
Forssell, L.: Flight clearance analysis using global nonlinear optimisation-based search algorithms. In: Proceedigns of AIAA Guidance, Navigation, and Control Conference and Exhibit, Austin, Texas, AIAA paper AIAA-2003-5481 (2003)
Menon, P.P., Kim, J., Bates, D.G., Postlethwaite, I.: Clearance of nonlinear flight control laws using hybrid evolutionary optimisation. IEEE Transactions on Evolutionary Computation 10(6), 689–699 (2006)
Menon, P.P., Bates, D.G., Postletwaite, I., Marcos, A., Fernandez, V., Bennani, S.: Worst-case analysis of flight control laws for re-entry vehicles. In: Proceedings of the IFAC Symposium on Automatic Control in Aerospace, Toulouse, France (2007)
Forssell, L., Hyden, A.: Optimisation based worst case search of ADMIRE. GARTEUR Technical report, TP-119-26 (2002)
Menon, P.P., Bates, D.G., Postlethwaite, I.: Computation of worst-case pilot inputs for nonlinear flight control systems analysis. Journal of Guidance, Control and Dynamics 29(1), 195–199 (2006)
Ryan III., G.W.: A genetic search technique for identification of aircraft departures. In: Proceedings of the AIAA Atmosferic Flight Mechanics Conference, Baltimore, USA, AIAA paper AIAA-95-3453 (1995)
Menon, P.P., Pashilkar, A.A., Sudhakar, K.: Identification of departure susceptibility for design of carefree maneuverable control scheme. In: Proceedings of the MSO-DMES Conference, Goa, India, vol. 1 (2003)
Skoogh, D., Eliasson, P., Berefelt, F., Amiree, R., Tourde, D.: Clearance of flight control laws for time varying pilot input signals. In: 6th IFAC Symposium on Robust Control Design, Haifa, Israel (2009)
Skoogh, D.: Final software - Part 2: Local methods for search of worst case manoeuvre, Version 2.0. COFCLUO Technical Report D2.5.4, FOI (January 2010)
Berefelt, F.: Final software - Part 1: COFOPT, a worst case maneuver search package version 2.1. COFCLUO Technical Report D2.5.4, FOI (January 2010)
Puyou, G.: Selected clearance problems. Part 1 - nonlinear model. COFCLUO Technical Report D1.1.1, Airbus France (2007)
Skoogh, D., Berefelt, F., Hagström, M., Eliasson, P., Robinson, J.: Report on comparative study of optimisation and Lyapunov methods. COFCLUO Technical Report D2.5.2, FOI (October 2007)
Papageorgiou, C., Joos, H.-D., Garulli, A., Skoogh, D., Hagström, M.: Survey of existing methods for flight control clearance, COFCLUO Report D2.1.1 (2007)
Puyou, G.: Models delivery: Part 1 - Nonlinear model. COFCLUO Technical Report D1.1.2, Airbus France (2007)
Heath, M.T.: Scientific Computing, An Introductory Survey, 2nd edn. Mc Graw Hill, New York (2002)
Varga, A.: Optimisation-based clearance: The linear analysis. In: Fielding, C., Varga, A., Bennani, S., Selier, M. (eds.) Advanced Techniques for Clearance of Flight Control Laws. LNCIS, vol. 283, pp. 385–413. Springer, Berlin (2002)
Torczon, V.: On the convergence of pattern search algorithms. SIAM J. Optim. 7(1), 1–25 (1997)
Hooke, R., Jeeves, T.A.: Direct search solution of numerical and statistical problems. J. Assoc. Comput. Mach. 8, 212–229 (1961)
Dolan, E.D., Lewis, R.M., Torczon, V.: On the local convergence of pattern search. SIAM J. Optim. 14(2), 567–583 (2003)
Luenberger, D.G., Ye, Y.: Linear and Nonlinear Programming, 3rd edn. Springer, Heidelberg (2008)
Nocedal, J., Wright, S.J.: Numerical Optimization. Springer, Heidelberg (1999)
Price, K.V., Storn, R.M., Lampinen, J.A.: Differential Evolution A Practical Approach to Global Optimization. Springer, Berlin (2005)
Storn, R., Price, K.: Differential evolution: a simple and efficient heuristic for global optimization over continuous space. Journal of Global Optimization 11, 341–359 (1997)
Menon, P.P., Bates, D.G., Postlethwaite, I.: Optimisation-based flight control law clearance. In: Bates, D., Hagström, M. (eds.) Nonlinear Analysis and Synthesis Techniques for Aircraft Control. LNCIS, vol. 365, pp. 259–300. Springer, Berlin (2007)
Eiben, A.E., Smith, J.E.: Introduction to Evolutionary Computing. Springer, Berlin (2003)
Beyer, H.-G., Schwefel, H.P.: Evolution strategies, Natural Computing 1. Kluwer Academic Publishers, Dordrecht (2002)
Jones, D.R., Perttunen, C.D., Stuckman, B.E.: Lipschitzian optimization without the Lipschitz constant. Journal of Optimization Theory and Application 79(1) (October 1993)
Finkel, D.E.: DIRECT Optimization Algorithm User Guide, March 2 (2003), http://www.ncsu.edu/crsc/reports/ftp/pdf/crsc-tr03-11.pdf
François, O.: Convergence analysis of evolution strategies with random numbers of offspring. In: Rudolph, G., Jansen, T., Lucas, S., Poloni, C., Beume, N. (eds.) PPSN 2008. LNCS, vol. 5199, pp. 21–30. Springer, Heidelberg (2008)
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Skoogh, D., Berefelt, F. (2012). Nonlinear Programming Methods for Worst-Case Pilot Input Determination. In: Varga, A., Hansson, A., Puyou, G. (eds) Optimization Based Clearance of Flight Control Laws. Lecture Notes in Control and Information Sciences, vol 416. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22627-4_11
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DOI: https://doi.org/10.1007/978-3-642-22627-4_11
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