Summary
In this chapter, an LFT model representing the longitudinal dynamic of the gap between the open loop nominal HIRM+ model and the perturbed model on a trajectory is given. Five of the most relevant uncertainties on the pitch axis are considered. This model describes the gap along a trajectory passing through flight condition FC1, with an angle of attack equal to 6°. The proposed approach is based on a simplified longitudinal model used to determine a nominal trajectory and corresponding input. The specific outputs are angle of attack α and pitch angle θ. These outputs allow a parametrisation of state-space trajectory. First the LFT generation by flatness approach is described. Then an LFT model of the open loop HIRM+ model for the above flight condition is given. Thereafter an LFT model of the closed loop HIRM+RIDE is proposed to allow the identification of worst case stability margin.
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References
J. Reiner and W. Garrard G. Balas. Design of a flight control system for a highly maneuverable aircraft using robust dynamic inversion. In AIAA Guidance, Navigation and Control Conference, pages 1270–1280, Washington, DC, 1994. AIAA.
D. Moormann and D. Bennett. TP-119-02 The HIRMplus Aircraft Model and Control Law Development. GARTEUR Action Group on Analysis Techniques and Visualisation Tools for Clearance of Flight Control Laws (FM-AG-11), 1999.
F. Karlsson, U. Korte, and S. Scala. TP-119-02A Selected Criteria for Clearance of the HIRMplus Flight Control Laws (Addendum to TP-119-02). GARTEUR Action Group on Analysis Techniques and Visualisation Tools for Clearance of Flight Control Laws (FM-AG-11), 2000.
M. Fliess, J. Lévine, Ph. Martin, and P. Rouchon. A lïe-bäcklund approach to equivalence and flatness of nonlinear systems. IEEE Transaction on Automatic Control, 44(5):922-937, 1999.
M. Fliess, J. Lévine, Ph. Martin, and P. Rouchon. Flatness and defect of non-linear systems: introduction theory and examples. Int. Journal of Control, 61:1327–1361, 1995.
A.M. Vinogradov. Symetries of partial Differential Equations. Kluwer, Dordrecht, 1989.
F. Cazaurang, B. Bergeon, and S. Ygorra. Robust control of flat nonlinear system. In IFAC Workshop on lagrangian and hamiltonian methods for nonlinear control, pages 167–169, Princeton U.S.A, 2000. IFAC.
M. Steinbuch, J.C. Terlouw, and O.H. Bosgra. Robustness analysis for real and complex perturbation applied to electro-mechanical system. In Proceedings of of ACC’1991, pages 556–561, Boston, 1991.
K. Zhou, J.C. Doyle, and K. Glover. Robust and Optimal Control. The Math Works Inc., 1992.
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Cazaurang, F., Lavigne, L., Bergeon, B. (2002). Flatness Approach to LFT Modelling. In: Fielding, C., Varga, A., Bennani, S., Selier, M. (eds) Advanced Techniques for Clearance of Flight Control Laws. Lecture Notes in Control and Information Sciences, vol 283. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45864-6_14
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DOI: https://doi.org/10.1007/3-540-45864-6_14
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