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Robust H∞control applied on a fixed wing unmanned aerial vehicle

  • Uyulan, Caglar (Department of Mechatronics Engineering, Bulent Ecevit University) ;
  • Yavuz, Mustafa Tolga (Department of Aeronautics and Astronautics, Istanbul Technical University)
  • Received : 2018.08.03
  • Accepted : 2019.04.05
  • Published : 2019.09.25
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Abstract

The implementation of a robust $H_{\infty}$ Control, which is numerically efficient for uncertain nonlinear dynamics, on longitudinal and lateral autopilots is realised for a quarter scale Piper J3-Cub model accepted as an unmanned aerial vehicle (UAV) under the condition of sensor noise and disturbance effects. The stability and control coefficients of the UAV are evaluated through XFLR5 software, which utilises a vortex lattice method at a predefined flight condition. After that, the longitudinal trim point is computed, and the linearization process is performed at this trim point. The "${\mu}$-Synthesis"-based robust $H_{\infty}$ control algorithm for roll, pitch and yaw displacement autopilots are developed for both longitudinal and lateral linearised nonlinear dynamics. Controller performances, closed-loop frequency responses, nominal and perturbed system responses are obtained under the conditions of disturbance and sensor noise. The simulation results indicate that the proposed control scheme achieves robust performance and guarantees stability under exogenous disturbance and measurement noise effects and model uncertainty.

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References

  1. Abuhashim, T. and Sukkarieh, S. (2012), "Incorporating geometric information into Gaussian Process terrain models from monocular images", Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, Vilamoura, Algarve, Portugal, October.
  2. Astrom, K.J. and Wittenmark, B. (2009), Adaptive Control, Pearson Education.
  3. Blakelock, J.H. (1991), Automatic Control of Aircraft and Missiles, John Wiley & Sons, New York, U.S.A.
  4. Butler, H. (1992), Model Reference Adaptive Control: From Theory to Practice, Prentice Hall, Upper Saddle River, New Jersey, U.S.A.
  5. Chang, K. (2003), "A modified robust adaptive control with dead zone for nonlinear plants with bounded disturbance", Syst. Anal. Model. Simul., 43(1), 27-38. https://doi.org/10.1080/02329290290001065.
  6. Dorobantu, A., Murch, A. and Balas, G. (2012), "H-infinity robust control design for the NASA AirSTAR flight test vehicle", Proceedings of the 50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, Nashville, Tennessee, U.S.A., January.
  7. Du, Y. (2011), "Development of real-time flight control system for the low-cost vehicle", M.Sc. Dissertation, Cranfield University, Bedfordshire, U.K.
  8. Giacoman-Zarzar, M., Ramirez-Mendoza, R., Fleming, P., Griffin, I. and Molina-Cristobal, A. (2008), "Robust $H{\infty}$ controller design for aircraft lateral dynamics using multi-objective optimization and genetic algorithm", IFAC Proc. Vol., 41(2), 8834-8839. https://doi.org/10.3182/20080706-5-KR-1001.01493.
  9. Guo, J., Tao, G. and Liu, Y. (2011), "A multivariable MRAC scheme with application to a nonlinear aircraft model", Automatica, 47(4), 804-812. https://doi.org/10.1016/j.automatica.2011.01.069.
  10. Hassan, H. and Rao, M. (2005), "Novel e-modification robust adaptive control scheme using non-quadratic Lyapunov functions for higher order systems", Proceedings of the EUROCON 2005- The International Conference on Computer as a Tool, Belgrade, Serbia, November.
  11. Ioannou, P.A. and Sun, J. (1996), Robust Adaptive Control, Prentice Hall, Upper Saddle River, New Jersey, U.S.A.
  12. Ioannou, P. and Datta, A. (2006), Robust Adaptive Control: Design, Analysis and Robustness Bounds, in Foundations of Adaptive Control Lecture Notes in Control and Information Sciences, Springer, Berlin, Heidelberg, Germany. 71-152.
  13. Ioannou, P. and Kokotovic, P. (1984), "Instability analysis and improvement of robustness of adaptive control", Automatica, 20(5), 583-594. https://doi.org/10.1016/0005-1098(84)90009-8.
  14. Ioannou, P. and Sun, J. (1991), "Robust adaptive control: A unified approach", Proceedings of the 28th IEEE Conference on Decision and Control, Tampa, Florida, U.S.A., December.
  15. Doyle, J. and Stein, G. (1981) "Multivariable feedback design: Concepts for a classical/modern synthesis", IEEE T. Autom. Control, 26(1), 4-16. https://doi.org/10.1109/TAC.1981.1102555.
  16. Doyle, J. (1982a), "Analysis of feedback systems with structured uncertainties", IEE Proc D-Control Theor. Appl., 129(6), 242-250. https://doi.org/10.1049/ip-d.1982.0053.
  17. Doyle, J.C., Wall, J.E. and Stein, G. (1982b), "Performance and robustness analysis for structured uncertainty", Proceedings of the 21st IEEE Conference on Decision and Control, Orlando, Florida, U.S.A., September.
  18. Khalil, H.K. (2015), Nonlinear Systems, Pearson Education International, Noida, India.
  19. Lavretsky, E. (2014), Robust and Adaptive Control Methods for Aerial Vehicles, in Handbook of Unmanned Aerial Vehicles, 675-710.
  20. Lavretsky, E. and Wise, K.A. (2013), Robust and Adaptive Control with Aerospace Applications, Springer, London, U.K.
  21. Logan, C. (1994), "A comparison between H-infinity/Mu-synthesis control and sliding-mode control for robust control of a small autonomous underwater vehicle", Proceedings of the IEEE Symposium on Autonomous Underwater Vehicle Technology (AUV94), Cambridge, Massachusetts, U.S.A.
  22. McLean, D. (1990), Automatic Flight Control Systems, Prentice Hall, New York, U.S.A.
  23. Mystkowski, A. (2013), "Robust Optimal Control of MAV Based on Linear-Time Varying Decoupled Model Dynamics", Solid State Phenom., 198, 571-576. https://doi.org/10.4028/www.scientific.net/SSP.198.571.
  24. Mystkowski, A. (2014), "Implementation and investigation of a robust control algorithm for an unmanned micro-aerial vehicle", Robot. Autonom. Syst., 62(8), 1187-1196. https://doi.org/10.1016/j.robot.2014.04.002.
  25. Narendra, K., Lin, Y. and Valavani, L. (1980), "Stable adaptive controller design, part II: Proof of stability", IEEE T. Autom. Control, 25(3), 440-448. https://doi.org/10.1109/TAC.1980.1102362.
  26. Nelson, R.C. (1998), Flight stability and Automatic Control, McGraw-Hill, Boston, Massachusetts, u.S.A.
  27. Tao, G. (2003), Adaptive Control Design and Analysis, John Wiley& Sons Inc., U.S.A.
  28. Tao, G. and Joshi, S. M. (2001), Adaptive Control of Systems with Actuator Failures, in Adaptive Control of Nonsmooth Dynamic Systems, Springer Science & Business Media., 111-156.
  29. Valavanis, K.P. (2015), Handbook of Unmanned Aerial Vehicles, Springer, Dordrecht, The Netherladns.
  30. Wang, Q., Hou, Y. and Dong, C. (2011), "Model reference robust adaptive control for a class of uncertain switched linear systems", Int. J. Robust Nonlin. Control, 22(9), 1019-1035. https://doi.org/10.1002/rnc.1744.