Design of Robust H∞ Combined with PID Controller Using Fuzzy Logic for a Missile Autopilot
DOI:
https://doi.org/10.3849/aimt.01831Keywords:
missile autopilot, robust H∞ loop-shaping control, PID control, fuzzy logic system, ITAE criterionAbstract
This paper presents the synthesis results of a robust H∞ (H-infinity) loop-shaping controller combined with a PID (Proportional-Integral-Derivative) controller using fuzzy logic for the pitch autopilot of a tail control missile. The results take into consideration the change of mass, moment of inertia, and aerodynamic coefficients. The combination of the control signal of the robust controller and the PID controller is formed on the basis of adjusting the membership function of fuzzy logic according to the ITAE (Integral of Time-multiplied Absolute value of Error) optimization criterion. The performance and robustness of the missile autopilot are verified by nonlinear simulation.
References
RYU, S.M., D.Y. WON, C.H. LEE and M.J. TAHK. Missile Autopilot Design for Agile Turn Control During Boost-phase. International Journal of Aeronautical and Space Sciences, 2011, 12(4), pp. 365-370. https://doi.org/10.5139/IJASS.2011.12.4.365.
WON, D.Y., M.J. TAHK and K.Y. KIM. Robust Gain-scheduling Technique for an Agile Missile Subject to Mass Variation. In: International Conference on Control, Automation and Systems (ICCAS). Gyeonggi-do: IEEE, 2010, pp.2119‑2123. https://doi.org/10.1109/ICCAS.2010.5670191.
THEODOULIS, S. and G. DUC. Missile Autopilot Design: Gain Scheduling and the Gap Metric. Journal of Guidance, Control, and Dynamics, 2009, 32(3). https://doi.org/10.2514/1.34756.
ZHONG, L., B. CAO, X. LIANG and X. JIA. A Composite Dynamic Inverse Controller Design for Agile Missile. In: 6th World Congress on Intelligent Control and Automation. Dalian: IEEE, 2006, pp. 930-933. https://doi.org/10.1109/WCICA.2006.1712480.
LEE, S., Y. KIM, Y. LEE, G. MOON and B.E. JEON. Robust-Backstepping Missile Autopilot Design Considering Time-Varying Parameters and Uncertainty. IEEE Transactions on Aerospace and Electronic Systems, 2020, 56(6), pp. 4269-4287. https://doi.org/10.1109/TAES.2020.2990819.
DOYLE, J., K. GLOVER, P. KHARGONEKAR and B. FRANCIS. State-space Solutions to Standard H2 and H∞ Control Problems. In: 1988 American Control Conference. Atlanta: IEEE, 1988, pp. 1691-1696. https://doi.org/10.23919/ACC.1988.4789992.
Exhibit. Keystone: AIAA, 2006, pp. 1-20. https://doi.org/10.2514/6.2006-6687.
MOHAMED, A., G. EL-SHEIKH, A.N. OUDA and A.M. YOUSSEF. Robust Autopilot Design and Hardware-in-the-Loop for Air to Air Guided Missile. Advances in Military Technology, 2017, 12(2), pp. 281-300. https://doi.org/10.3849/aimt.01207.
ELKHATEM, A.S. and S.N. ENGIN. Robust LQR and LQR-PI Control Strategies Based on Adaptive Weighting Matrix Selection for a UAV Position and Attitude Tracking Control. Alexandria Engineering Journal, 2022, 61(8), pp. 6275-6292. https://doi.org/10.1016/j.aej.2021.11.057.
NAIR, S.S. and G.R. SANGEETHA. Hybrid PID/H∞ Control of Active Magnetic Bearings. International Journal of Electrical Engineering, 2011, 4(1). ISSN 0974-2158.
HAZEM, I.A. Mixed LQR/H-Infinity Controller Design for Uncertain Multivariable Systems. Emirates Journal for Engineering Research, 2015, 20(1), pp. 101‑107. ISSN 1022-9892.
REZA, M.A., A. MAHDOUDI, E. POURABDOLLAH and G. KLANČAR. Combined PID and LQR Controller Using Optimized Fuzzy Rules. Soft Computing, 2019, 23, pp. 5143-5155. https://doi.org/10.1007/s00500-018-3180-3.
LISHENG, L., J. QIAN, Y. ZOU, D. TIAN, Y. ZENG, F. CAO and X. LI. Optimized Takagi–Sugeno Fuzzy Mixed H2/H∞ Robust Controller Design Based on CPSOGSA Optimization Algorithm for Hydraulic Turbine Governing System. Energies, 2022, 15(13), 4771-4801. https://doi.org/10.3390/en15134771.
MOHAMMED, Y.H., H.I. ALI and H.M. JASSIM. Hybrid H-Infinity Fuzzy Logic Controller Design. Journal of Engineering Science and Technology, 2020, 15(1), pp. 1-21.
HERNÁNDEZ, F.D.B.I. Optimization of the Integrated Guidance and Control for a Dual Aerodynamic Control Missile [PhD Thesis]. Universidad Politécnica de Madrid, 2015. https://doi.org/10.20868/UPM.thesis.38301.
SEFTON, J. and K. GLOVER. Pole/zero Cancellations in the General H∞ Problem with Reference to a Two Block Design. Systems & Control Letters, 1990, 14(4), pp. 295-306. https://doi.org/10.1016/0167-6911(90)90050-5.
MENDEL, J.M. Fuzzy Logic Systems for Engineering: a Tutorial. Proceedings of the IEEE, 1995, 83(3), pp. 345-377. https://doi.org/10.1109/5.364485.
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