Abstract
This work considers the anti-disturbance model reference L2-\(L_{\infty }\) control for the helicopter slung load system subject to unknown disturbances. Initially, a linear model is derived based on the nonlinear dynamics of a helicopter with slung load. The uncertainty and disturbances are jointly considered in the controller design. Then, by designing a disturbance observer and using robust L2-\(L_{\infty }\) control method, the state feedback control and dynamic output feedback control are respectively analyzed, and two sufficient conditions on deriving the observer gain and controller one are presented via the linear matrix inequality (LMI) form, which can guarantee the helicopter slung load system to asymptotically track the reference model with L2-\(L_{\infty }\) performance. Finally, some simulation results are presented to show the effectiveness of the proposed methods.
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Raptis, I.A., Valavanis, K.P.: Linear and nonlinear control of small-scale unmanned helicopters. Springer, Netherlands (2011)
Isidori, A., Marconi, L., Serrani, A.: Robust nonlinear motion control of a helicopter. IEEE Trans. Autom. Control 48(3), 413–426 (2003)
Marconi, L., Naldi, R.: Robust full degree-of-freedom tracking control of a helicopter. Automatica 43(11), 1909–1920 (2007)
Yang, Y.D.: Helicopter flight control. National Defense Industry Press, Beijing (2007)
Raptis, I.A., Valavanis, K.P., Vachtsevanos, G.J.: Linear tracking control for small-scale unmanned helicopters. IEEE Trans. Control Syst. Technol. 20(4), 995–1010 (2012)
Xian, B., Guo, J., Zhang, Y., Zhao, B.: Sliding mode tracking control for miniature unmanned helicopters. Chin. J. Aeronaut. 28(1), 277–284 (2015)
Alvarenga, J., Vitzilaios, N.I., Valavanis, K.P., et al.: Survey of unmanned helicopter model-based navigation and control techniques. J. Intell. Robot. Sys. 80(1), 87–138 (2015)
Zhong, Y., Zhang, W., Zhang, Y., et al.: Sensor fault detection and diagnosis for an unmanned quadrotor helicopter. J. Intell. Robot Sys 96(3-4), 555–572 (2019)
Manwaring, J.C., Conway, G.A., Garrett, L.C.: Epidemiology and prevention of helicopter external load accidents. J. Safety Res. 29(2), 107–121 (1998)
Shi, D., Wu, Z., Chou, W.: Harmonic extended state observer based anti-swing attitude control for quadrotor with slung load. Electronics 7(6), 1–18 (2018)
Guglieri, G., Marguerettaz, P.: Dynamic stability of a helicopter with an external suspended load. J. Am. Helicopter Soc. 59(4), 1–12 (2014)
Fusato, D., Guglieri, G., Celi, R.: Flight dynamics of an articulated rotor helicopter with an external slung load. J. Am. Helicopter Soc. 46(1), 3–14 (2001)
Cao, Y., Qi, Q.: Trims, controllability, and flying qualities of a Tilt-Rotor aircraft slung-load system. J. Aero. Eng. 31(2), 06017006 (2017)
Cao, Y., Wang, Z.: Equilibrium characteristics and stability analysis of helicopter slung-load system. J. Beijing Univ. Aeronaut. Astronaut. 40(9), 1219–1224 (2017)
Potter, J., Singhose, W.E., Costelloy, M.: Reducing swing of model helicopter sling load using input shaping. 9th IEEE International Conference on Control and Automation, pp 19–21 (2011)
Thanapalan, K., Wong, T.M.: Modeing of a helicopter with an under-slung load system. Proceedings of the 29th Chinese Control Conference, pp 1451–1456 (2010)
Thanapalan, K.: Nonlinear controller design for a helicopter with an external slung load system. Syst. Sci. Control Eng. 5(1), 97–107 (2017)
Guerrero-Sánchez, M.E., Mercado-Ravell, D.A., Lozano, R., et al.: Swing-attenuation for a quadrotor transporting a cable-suspended payload. ISA Trans. 68, 433–449 (2017)
Omar, H.M.: Designing anti-swing fuzzy controller for helicopter slung-load system near hover by particle swarms. Aerosp. Sci. Technol. 29(1), 223–234 (2013)
El-Ferik, S., Syed, A.H., Omar, H.M., et al.: Nonlinear forward path tracking controller for helicopter with slung load. Aerosp. Sci. Technol. 69, 602–608 (2017)
Klausen, K., Fossen, T.I., Johansen, T.A.: Nonlinear control with swing damping of a multirotor UAV with suspended load. J. Intell. Robot. Syst. 88(2-4), 379–394 (2017)
Ren, Y., Chen, M.: Anti-swing control for a suspension cable system of a helicopter with cable swing constraint and unknown dead-zone. Neurocomputing 356, 257–267 (2019)
Ren, Y., Chen, M., Liu, J.: Unilateral boundary control for a suspension cable system of a helicopter with horizontal motion. IET. Contr. Theory Appl. 13(4), 467–476 (2019)
Ren, Y., Chen, M., Wu, Q.X.: Disturbance observer-based boundary control for a suspension cable system moving in the horizontal plane. Trans. Inst. Meas. Control 41(2), 340–349 (2019)
Liu, S., Xiang, Z.: Exponential output tracking control for positive switched linear systems with time-varying delays. Nonlinear Anal. Hybrid Syst. 11, 118–128 (2014)
Xie, J., Zhao, J.: Model reference adaptive control for switched LPV systems and its application. IET Contr. Theory Appl. 10(17), 2204–2212 (2016)
Chen, Y., Wei, Y., Liang, S., et al.: Indirect model reference adaptive control for a class of fractional order systems. Commun. Nonlinear Sci. Numer. Simul. 39, 458–471 (2016)
Chen, M., Li, Y.: Model reference resilient control for the helicopter with time-varying disturbance. Int. J. Robust Nonlinear Control. 29, 5095–5117 (2019)
Yu, L.: Robust Control Linear Matrix Inequality Processing Method. Tsinghua University Press, Beijing (2002)
Chen, M., Ge, S.S., How, B.V.E.: Robust adaptive neural network control for a class of uncertain MIMO nonlinear systems with input nonlinearities. IEEE Trans. Neural Netw. 21(5), 796–812 (2010)
Vafamand, N., Arefi, M.M., Khooban, M.H., et al.: Nonlinear model predictive speed control of electric vehicles represented by linear parameter varying models with bias terms. IEEE J. Emerg. Sel. Topics Power Electron. 7(3), 2081–2089 (2019)
Vafamand, N., Rakhshan, M.: Dynamic model-based fuzzy controller for maximum power point tracking of photovoltaic systems: a linear matrix inequality approach. Dyn. Syst. Meas. Control. 139(5), 051010 (2017)
Vafamand, N., Asemani, M.H., Khayatian, A., et al.: TS fuzzy robust L1 control for nonlinear systems with persistent bounded disturbances. J. Frankl. Inst 354(14), 5854–5876 (2017)
Vafamand, N., Asemani, M.H., Khayatiyan, A., et al.: TS Fuzzy Model-Based Controller design for a class of nonlinear systems including nonsmooth functions. IEEE Trans. Syst. Man. Cybern. Syst. 50 (1), 233–243 (2020)
Vafamand, N., Yousefizadeh, S., Khooban, M.H., et al.: Adaptive TS fuzzy-based MPC for DC microgrids with dynamic CPLs: nonlinear power observer approach. IEEE Syst. J. 13(3), 3203–3210 (2019)
Chen, W.H.: Nonlinear disturbance observer-enhanced dynamic inversion control of missiles. J. Guid. Control Dyn. 26(1), 161–166 (2003)
Chen, W.H.: Disturbance observer based control for nonlinear systems. IEEE/ASME Trans Mechatron. 9(4), 706–710 (2004)
Sun, H., Li, S.: Composite control method for stabilizing spacecraft attitude in terms of Rodrigues parameters. Chin. J. Aeronaut. 26(3), 687–696 (2013)
Chen, M., Chen, S.D., Wu, Q.X.: Sliding mode disturbance observer-based adaptive control for uncertain MIMO nonlinear systems with dead-zone. Int. J. Adapt. Control Signal Process. 31(7), 1003–1018 (2017)
Smith, J., Su, J., Liu, C., Chen, W.H.: Disturbance observer based control with anti-windup applied to a small fixed wing uav for disturbance rejection. J. Intell. Robot. Sys. 88, 329–346 (2017)
Chen, W.H., Ding, K., Lu, X.: Disturbance-observer-based control design for a class of uncertain systems with intermittent measurement. J. Frankl. Inst. 354(13), 5266–5279 (2017)
Sun, H., Guo, L.: Neural network-based DOBC for a class of nonlinear systems with unmatched disturbances. IEEE Trans. Neural Netw. Learn. Syst. 28(2), 482–489 (2017)
Li, Y., Sun, H., Zong, G., Hou, L.: Anti-disturbance control for time-varying delay Markovian jump nonlinear systems with multiple disturbances. Int. J. Syst. Sci. 48(15), 3186–3200 (2017)
Wei, X., Guo, L.: Composite disturbance-observer-based control and \(H_{\infty }\) control for complex continuous models. Int. J. Robust Nonlinear Control 20(1), 106–118 (2010)
Wei, X., Chen, N., Li, W.: Composite adaptive disturbance observer-based control for a class of nonlinear systems with multisource disturbance. Int. J. Adapt. Control Signal Process. 27(3), 199–208 (2013)
Zhang, R., Li, T., Guo, L.: Disturbance observer based \(H_{\infty }\) control for flexible spacecraft with time-varying input delay. Adv. Difference Equ. 2013(1), 1–12 (2013)
Acknowledgments
This work was supported in part by the National Natural Science Foundation of China under Grant 61803207; in part by the Key R & D projects (Social Development) in Jiangsu Province of China under Grant BE2020704; in part by the Joint fund of China Electronics Technology for Equipment Preresearch 6141B08231110a; in part by Jiangsu Province “333” project under Grant BRA2019051.
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Liu, L., Chen, M., Li, T. et al. Composite Anti-Disturbance Reference Model L2-\(L_{\infty }\) Control for Helicopter Slung Load System. J Intell Robot Syst 102, 15 (2021). https://doi.org/10.1007/s10846-020-01276-z
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DOI: https://doi.org/10.1007/s10846-020-01276-z