A novel fixed-time control method based on non-singular terminal sliding mode and dual quaternion is proposed for the integrated attitude-position control of a tilt quadrotor unmanned aerial vehicle (UAV) in presence of parameter uncertainties and external disturbances. Firstly, considering the tilt quadrotor UAV tracking control system, a dual quaternion-based non-singular terminal sliding mode surface is constructed, and a novel fixed-time integrated attitude-position control law is designed. Furthermore, for the UAV tracking control system under external disturbances and parameter uncertainties, an immersion and invariance manifold-based adaptive law is established to estimate uncertain parameters, which can solve the problem of the estimated value deviating from the true value. And then, a fixed-time control scheme incorporating adaptive law is proposed to achieve UAV trajectory tracking control. Numerical simulation results verify that the proposed control scheme has effective performance and strong robustness to external disturbances and parameter uncertainties.
[1] Bhargavapuri M, Patrikar J, Sahoo S R, et al. A low-cost tilt-augmented quadrotor helicopter:modeling and control[C]//International Conference on Unmanned Aircraft Systems. Dallas, USA:IEEE, 2018:186-194.
[2] Bhargavapuri M, Shastry A K, Sinha H, et al. Vision-based autonomous tracking and landing of a fully-actuated rotorcraft[J]. Control Engineering Practice, 2019, 89:113-129.
[3] Xiao B, Yin S. A new disturbance attenuation control scheme for quadrotor unmanned aerial vehicles[J]. IEEE Transactions on Industrial Informatics, 2017, 13(6):2922-2932.
[4] Gong W Q, Li B, Yang Y S, et al. Fixed-time integral-type sliding mode control for the quadrotor UAV attitude stabilization under actuator failures[J]. Aerospace Science and Technology, 2019, 95:105444.
[5] 宋春林. 四旋翼无人机在未知环境中自主导航和飞行控制方法研究[D]. 哈尔滨:哈尔滨工业大学, 2019.
[6] 黄鹏鸽. 基于MEMS技术的四旋翼无人机姿态解算[D]. 开封:河南大学, 2017.
[7] 董宏洋. 基于对偶四元数的航天器位姿一体化控制方法研究[D]. 哈尔滨:哈尔滨工业大学, 2017.
[8] 杨一岱, 荆武兴, 张召. 一种挠性航天器的对偶四元数姿轨耦合控制方法[J]. 宇航学报, 2016, 37(8):946-956. Yang Y D, Jing W X, Zhang Z. A new method for orbit and attitude coupling control problem of flexible spacecraft based on dual quaternions[J]. Journal of Astronautics, 2016, 37(8):946-956. (in Chinese)
[9] Ryll M, Bulthoff H H, Giordano P R. A novel over actuated quadrotor UAV:modeling, control and experimental validation[J]. IEEE Transactions on Control Systems Technology, 2015, 23(2):540-556.
[10] 谢文光, 吴康, 阎芳, 等. 一种面向多无人机协同编队控制的改进深度神经网络方法[J]. 西北工业大学学报, 2020, 38(2):295-302. Xie W G, Wu K, Yan F, et al. An improved deep neural network method for cooperative formation control of multiple UAVs[J]. Journal of Northwestern Polytechnical University, 2020, 38(2):295-302. (in Chinese)
[11] 胡军. 高超声速飞行器非线性自适应姿态控制[J]. 宇航学报, 2017, 38(12):1281-1288. Hu J. The nonlinear adaptive attitude control for hypersonic vehicle[J]. Journal of Astronautics, 2017, 38(12):1281-1288. (in Chinese)
[12] 李秋妮, 杨任农, 刘棕成. 多无人机目标追踪自适应控制[J]. 控制与决策, 2019, 34(12):2661-2666. Li Q N, Yang R N, Liu Z C. Adaptive target tracking control for multiple unmanned aerial vehicles[J]. Control and Decision, 2019, 34(12):2661-2666. (in Chinese)
[13] 张成举, 王聪, 曹伟, 等. 基于无迹卡尔曼滤波的超空泡航行体最优控制研究[J]. 兵工学报, 2019, 40(6):1235-1243. Zhang C J, Wang C, Cao W, et al. Optimal control of supercavitating vehicles based on unscented Kalman filter[J]. Acta Armamentarii, 2019, 40(6):1235-1243. (in Chinese)
[14] Jiang B Y, Li C J, Hou S X, et al. Fixed-time attitude tracking control for spacecraft based on adding power integrator technique[J]. International Journal of Robust and Nonlinear Control, 2020, 30(6):2515-2532.
[15] Polyakov A. Nonlinear feedback design for fixed-time stabilization of linear control systems[J]. IEEE Transactions on Automatic Control, 2012, 57(8):2106-2110.
[16] Zhang L, Wei C Z, Wu R, et al. Fixed-time extended state observer based non-singular fast terminal sliding mode control for a VTVL reusable launch vehicle[J]. Aerospace Science and Technology, 2018, 82:70-79.
[17] Zuo Z Y. Nonsingular fixed-time consensus tracking for second-order multi-agent networks[J]. Automatica, 2015, 54:305-309.
[18] 袁利, 马广富, 董经纬, 等. 航天器近距离交会的固定时间终端滑模控制[J]. 宇航学报, 2018, 39(2):195-205. Yuan L, Ma G F, Dong J W, et al. Fixed-time terminal sliding mode control for close-range rendezvous[J]. Journal of Astronautics, 2018, 39(2):195-205. (in Chinese)
[19] Wang B, Yu X, Mu L X, et al. Disturbance observer-based adaptive fault-tolerant control for a quadrotor helicopter subject to parametric uncertainties and external disturbances[J]. Mechanical Systems and Signal Processing, 2019, 120:727-743.
[20] Astolfi A, Ortega R. Immersion and invariance:a new tool for stabilization and adaptive control of nonlinear systems[J]. IEEE Transactions on Automatic Control, 2003, 48(4):590-606.
[21] Zhao B, Xian B, Zhang Y, et al. Nonlinear robust adaptive tracking control of a quadrotor UAV via immersion and invariance methodology[J]. IEEE Transactions on Industrial Electronics, 2014, 62(5):2891-2902.
[22] Wang J Y, Liang H Z, Sun Z W, et al. Finite-time control for spacecraft formation with dual-number-based description[J]. Journal of Guidance, Control, and Dynamics, 2012, 35(3):950-962.
[23] Filipe N, Tsiotras P. Adaptive position and attitude-tracking controller for satellite proximity operations using dual quaternions[J]. Journal of Guidance Control & Dynamics, 2013, 38(4):566-577.
[24] Wang X, Yu C. Unit dual quaternion-based feedback linearization tracking problem for attitude and position dynamics[J]. Systems & Control Letters, 2013, 62(3):225-233.
[25] Dong H Y, Hu Q L, Maruthi R A, et al. Partial Lyapunov strictification:dual-quaternionbased observer for 6-DOF tracking control[J]. IEEE Transactions on Control Systems Technology, 2019, 27(6):2453-2469.