Abstract
The control allocation with uncertain and nonlinear control effectiveness matrix is studied for an overactuated aircraft. For the nonlinear control effectiveness matrix with uncertainty, the robust nonlinear least squares scheme is adopted to track the problem that the three axis moments are distributed to the corresponding control surfaces. To show the effectiveness of the proposed robust nonlinear least squares control allocation method, a simulation for an overactuated aircraft is conducted. Results show that the robust nonlinear least squares control allocation is effective for uncertainty and nonlinearity in the control effectiveness matrix, the desired three-moment can be well tracked.
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References
Durham, W.C.: Constrained control allocation. J. Guid. Control Dyn. 16(4), 717–725 (1993)
Durham, W.C.: Constrained control allocation: three moment problem. J. Guid. Control Dyn. 17(2), 330–336 (1994)
Naskara, A.K., Patrab, S., Senb, S.: New control allocation algorithms in fixed point framework for overactuated systems with actuator saturation. Int. J. Control. 90(2), 348–356 (2017)
Doman, D., Oppenheimer, M.: Improving control allocation accuaracy for nonlinear aircraft dynamics. AIAA Paper. 2002–4667 (2002)
Bolender, M.A., Doman, D.B.: Nonlinear control allocation using piecewise linear functions. J. Guid. Control Dyn. 27(6), 1017–1027 (2004)
Bolender, M.A., Doman, D.B.: Nonlinear control allocation using piecewise linear functions: a linear programming approach. J. Guid. Control Dyn. 28(3), 558–562 (2005)
Johansen, T.A., Fossen, T.I., Berge, S.P.: Constrained nonlinear control allocation with singularity avoidance using sequential quadratic programming. IEEE Trans. Control Syst. Technol. 12(1), 211–216 (2004)
Johansen, T.A.: Optimizing nonlinear control allocation. In: IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers, Atlantis, Paradise Island, pp. 3435–3440 (2004)
Benosman, M., Liao, F., Lum, K.Y., Wang, J.L.: Nonlinear control allocation for non-minimum phase systems. IEEE Tans. Control Syst. Technol. 17(2), 394–404 (2009)
Cui, L., Yang, Y.: Disturbance rejection and robust least squares control allocation in flight control system. J. Guid. Control Dyn. 34(6), 1632–1643 (2011)
Cui, L., Yang, Y., Liu, Y.H.: Robust fault tolerant control allocation for an input redundant aircraft. J. Aerospace Eng. 29(2), 04015042 (2016)
Shen, Q., Wang, D., Zhu, S., Poh, E.K.: Robust control allocation for spacecraft attitude tracking under actuator faults. IEEE Trans. Control Syst. Technol. 25(3), 1068–1075 (2017)
Hu, Q., Li, B., **ao, B., Zhang, Y.: Closed-loop based control allocation for spacecraft attitude stabilization with actuator faults. In: Control Allocation for Spacecraft Under Actuator Faults, pp. 185–217. Springer, Singapore (2021). https://doi.org/10.1007/978-981-16-0439-3_9
Koroglu, H., Weiland, S.: Robust nonlinear least squares via consecutive LMI optimization. In: IEEE 2011 American Control Conference, Institute of Electrical and Electronics Engineers, San Francisco, CA, pp. 1311–1312(2011)
Page, A., Steinberg, M.: A closed loop comparison of control allocation methods. In: AIAA Guidance Navigation, and Control Conference, American Institute of Aeronautics and Astronautics, Denver, CO, AIAA, pp. 2000–4538(2000)
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This work was supported in part by thc Natural Science Foundation of Tian** City, Grant No. 21JCYBJC00590.
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Zhen, Z., Cui, L. (2023). Robust Nonlinear Least Squares Control Allocation for Overactuated Aircraft. In: Yan, L., Duan, H., Deng, Y. (eds) Advances in Guidance, Navigation and Control. ICGNC 2022. Lecture Notes in Electrical Engineering, vol 845. Springer, Singapore. https://doi.org/10.1007/978-981-19-6613-2_11
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DOI: https://doi.org/10.1007/978-981-19-6613-2_11
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