Active Flutter Suppression for a T-Tail via Optimal Control
Publication: Journal of Aerospace Engineering
Volume 36, Issue 5
Abstract
A new generation of transport aircraft increasingly adopts T-tail configurations for their excellent aerodynamic, operating, and structural performance. However, flutter of T-tail configurations is a serious dynamic instability problem caused by aerodynamic and structural interactions between the vertical stabilizer and the horizontal stabilizer. The horizontal tailplane (HTP) is mounted on the vertical tailplane (VTP). Bending and twisting of the VTP induce rolling, yawing, and in-plane motion of the HTP, which has a significant effect on T-tail flutter. In this paper, a multiple input/multiple output (MIMO) linear quadratic Gaussian (LQG) controller is designed to suppress flutter for a T-tail. The state-space equations of the aeroservoelastic (ASE) T-tail model, which are composed of the state-space equations of the aeroelastic system and the actuator dynamics, are derived for the design of the control law. The controller is synthesized by posing and solving a weighted optimization problem with the goal of making the rudders collaborate deflection for flutter mode suppression and expand the boundary of the T-tail flutter. A thorough analysis of the performance achieved by the closed-loop system was performed through numerical simulations. The numerical results demonstrate that the proposed LQG controller can effectively suppress the T-tail flutter and expand the flutter boundary.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This work is supported in part by the National Science Fund for Distinguished Young Scholars under Grant No. 11925205, and in part by the National Natural Science Foundation of China under Grant No. 51921003.
References
Albano, E., and W. P. Rodden. 1969. “A doublet-lattice method for calculating lift distributions on oscillating surfaces in subsonic flows.” AIAA J. 7 (2): 279–285. https://doi.org/10.2514/3.5086.
Aström, K. J., and R. M. Murray. 2021. Feedback systems: An introduction for scientists and engineers. 2nd ed. Princeton, NJ: Princeton University Press.
Chen, Z., and Y. Zhao. 2020. “Active disturbance rejection control for hypersonic flutter suppression based on parametric ROM.” J. Aerosp. Eng. 33 (6): 04020083. https://doi.org/10.1061/(ASCE)AS.1943-5525.0001201.
Doyle, J. C. 1978. “Guaranteed margins for LQG regulators.” IEEE Trans. Autom. Control. 23 (4): 756–757. https://doi.org/10.1109/TAC.1978.1101812.
Fonzi, N., and S. Ricci. 2022. “Numerical and experimental investigations on freeplay-based LCO phenomena on a T-tail model.” In Proc., AIAA SciTech Forum. Reston, VA: American Institute of Aeronautics and Astronautics.
Ghiringhelli, G. L., M. Lanz, and P. Mantegazza. 1990. “Active flutter suppression for a wing model.” J. Aircr. 27 (4): 334–341. https://doi.org/10.2514/3.25277.
Harder, R. L., and R. N. Desmarais. 1972. “Interpolation using surface splines.” AIAA J. 9 (2): 189–191. https://doi.org/10.2514/3.44330.
Hoadley, S. T., and M. Karpel. 1991. “Application of aeroservoelastic modeling using minimum-state unsteady aerodynamic approximations.” J. Guid. Control Dyn. 14 (6): 1267–1276. https://doi.org/10.2514/3.20783.
Hodges, D. H., and G. A. Pierce. 2011. Introduction to structural dynamics and aeroelasticity. 2nd ed. New York: Cambridge University Press.
Hu, H. Y., Y. H. Zhao, and R. Huang. 2016. “Studies on aeroelastic analysis and control of aircraft structures.” [In Chinese.] Chin. J. Theor. Appl. Mech. 48 (1): 1–27.
Jennings, W. P., and M. A. Berry. 1975. “The flutter analysis of T-tails.” In Proc., 16th AIAA/ASME/SAE Structures, Structural Dynamics, and Materials Conf., 1–4. Reston, VA: American Institute of Aeronautics and Astronautics.
Jennings, W. P., and M. A. Berry. 1997. “Effect of stabilizer dihedral and static lift on T-tail flutter.” J. Aircr. 14 (4): 364–367. https://doi.org/10.2514/3.58785.
Livne, E. 2018. “Aircraft active flutter suppression: State of the art and technology maturation needs.” J. Aircr. 55 (1): 410–452. https://doi.org/10.2514/1.C034442.
Livne, E., and T. A. Weisshaar. 2003. “Aeroelasticity of nonconventional airplane configurations—Past and future.” J. Aircr. 40 (6): 1047–1065. https://doi.org/10.2514/2.7217.
Lv, B., Z. G. Wu, and C. Yang. 2008. “Analysis of T-tail flutter.” [In Chinese.] Eng. Mech. 25 (2): 230–234.
Mukhopadhyay, V. 1995. “Flutter suppression control law design and testing for the active flexible wing.” J. Aircr. 32 (1): 45–51. https://doi.org/10.2514/3.46682.
Murua, J., P. Martínez, H. Climent, L. van Zyl, and R. Palacios. 2014. “T-tail flutter: Potential-flow modelling, experimental validation and flight tests.” Prog. Aerosp. Sci. 71 (Aug): 54–84. https://doi.org/10.1016/j.paerosci.2014.07.002.
Noll, T. E., and F. E. Eastep. 1995. “Active flexible wing program.” J. Aircr. 32 (1): 9. https://doi.org/10.2514/3.56918.
Qian, W. 2018. “Robust flutter suppression and wind-tunnel tests of a three-dimensional wing.” J. Aerosp. Eng. 31 (6): 04018099. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000925.
Qian, W. M., R. Huang, H. Y. Hu, and Y. H. Zhao. 2014. “Active flutter suppression of a multiple-actuated-wing wind tunnel model.” Chin. J. Aeronaut. 27 (6): 1451–1460. https://doi.org/10.1016/j.cja.2014.10.011.
Qiu, J., and Q. Sun. 2012. “Rear fuselage stiffness design of T-tail.” Compos. Struct. 100 (Jun): 163–172. https://doi.org/10.1016/j.compstruct.2012.12.041.
Raja, S. 2008. “Design and development of a smart composite T-tail for transport aircraft.” In Proc., IUTAM Symp. on Multi-Functional Material Structures and Systems, 241–249. New York: Springer.
Renton, J., D. Olcott, B. Roeseler, R. Batzer, B. Baron, and A. Velicki. 2004. “Future of flight vehicle structures.” J. Aircr. 41 (5): 986–998. https://doi.org/10.2514/1.4039.
Ricci, S., L. Marchetti, L. Riccobene, A. De Gaspari, F. Toffol, F. Fonte, P. Mantegazza, J. Berg, E. Livne, and K. Morgansen. 2021. “An active flutter suppression (AFS) project: Overview, results and lessons learned.” In Proc., AIAA SciTech Forum, 1–22. Reston, VA: American Institute of Aeronautics and Astronautics.
Rock, S. M., H. Ashley, R. Digumarthi, and K. Chaney. 1993. “Active control for fin buffet alleviation.” In Proc., AIAA Guidance, Navigation and Control Conf., 1051–1056. Reston, VA: American Institute of Aeronautics and Astronautics.
Rogers, W. L., and D. J. Collins. 1992. “X-29 H-infinity controller synthesis.” J. Guid. Control Dyn. 15 (4): 962–967. https://doi.org/10.2514/3.20930.
Schweiger, J., F. Weiss, and T. Kullrich. 2000. “Active aeroelastic design of a vertical tail for a fighter aircraft.” In Proc., 8th Symp. on Multidisciplinary Analysis and Optimization, 1–9. Reston, VA: American Institute of Aeronautics and Astronautics.
Shi, P. T., F. Liu, Y. S. Gu, and Z. C. Yang. 2021. “The development of a flight test platform to study the body freedom flutter of BWB flying wings.” Aerospace 8 (12): 390. https://doi.org/10.3390/aerospace8120390.
Skogestad, S., and I. Postlethwaite. 2005. Multivariable feedback control: Analysis and design. 2nd ed. Chichester, UK: Wiley.
Tewari, A. 1998. “Robust optimal controllers for active flutter suppression.” In Proc., AIAA Guidance, Navigation, and Control Conf. and Exhibit, 399–407. Reston, VA: American Institute of Aeronautics and Astronautics.
van Zyl, L. H., and E. H. Mathews. 2011. “Aeroelastic analysis of T-tails using an enhanced doublet lattice method.” J. Aircr. 48 (3): 823–831. https://doi.org/10.2514/1.C001000.
Waitman, S., and A. Marcos. 2020. “H∞ control design for active flutter suppression of flexible-wing unmanned aerial vehicle demonstrator.” J. Guid. Control Dyn. 43 (4): 656–672. https://doi.org/10.2514/1.G004618.
Wang, Z. T., A. Behal, and P. Marzocca. 2011. “Model-free control design for multi-input/multi-output aeroelastic system subject to external disturbance.” J. Guid. Control Dyn. 34 (2): 446–458. https://doi.org/10.2514/1.51403.
Waszak, M. R., and J. Fung. 1996. “Parameter estimation and analysis of actuators for the BACT wind-tunnel model.” In Proc., AIAA Atmospheric Flight Mechanics Conf., 22–30. Reston, VA: American Institute of Aeronautics and Astronautics.
Waszak, M. R., and S. Srinathkumar. 1995. “Flutter suppression for the active flexible wing: A classical design.” J. Aircr. 32 (1): 61–67. https://doi.org/10.2514/3.46684.
Yang, C., C. Song, Z. G. Wu, and Q. H. Zhang. 2010. “Active flutter suppression of airplane configuration with multiple control surfaces.” [In Chinese.] Acta Aeronaut. Astronaut. Sin. 31 (8): 1501–1508.
Yang, F., and Z. C. Yang. 2011. “Some key issues to the analysis of aircraft T-tail flutter.” [In Chinese.] J. Vib. Shock. 30 (5): 136–139.
Yu, M. L., and H. Y. Hu. 2012. “Flutter control based on ultrasonic motor for a two-dimensional airfoil section.” J. Fluids Struct. 28 (Jan): 89–102. https://doi.org/10.1016/j.jfluidstructs.2011.08.015.
Zou, Q. T., X. S. Mu, H. K. Li, R. Huang, and H. Y. Hu. 2021. “Robust active suppression for body-freedom flutter of a flying-wing unmanned aerial vehicle.” J. Franklin Inst. 358 (5): 2642–2660. https://doi.org/10.1016/j.jfranklin.2021.01.012.
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Published In
Journal of Aerospace Engineering
Volume 36 • Issue 5 • September 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: May 13, 2022
Accepted: Mar 14, 2023
Published online: May 19, 2023
Published in print: Sep 1, 2023
Discussion open until: Oct 19, 2023
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