固定翼UAV路径跟踪的全局稳定积分滑模S面控制

doi:10.3778/j.issn.1002-8331.2304-0265

摘要/Abstract

摘要： 针对固定翼无人机的三维路径跟踪控制问题，设计了一种基于全局稳定积分滑模S面模型的内外环控制器。控制器外环采用全局稳定积分滑模控制，内环采用S面控制。设计控制器外环的全局稳定积分滑模控制律，并采用Lyapunov理论证明所设计控制律的稳定性。对内环的指令信号设计S面控制器，考虑到S面控制器中求导的复杂性，引入二阶微分器，解决内环中导数存在积分爆炸的问题。半物理仿真试验结果表明，提出的控制器能精确跟踪期望路径，具有良好的控制性能和抗干扰性能。

关键词: 无人机, 全局稳定, 路径跟踪, 运动控制, 滑模控制, S面控制

Abstract: For the three-dimensional path tracking control problem of fixed-wing unmanned aerial vehicles, an inner and outer loop controller based on globally stable integral sliding mode S-plane model is proposed in this paper. The outer loop is controlled by the globally stable integral sliding mode, and the inner loop is controlled by the S-plane. Firstly, the globally stable integral sliding control law is designed for the outer loop, and the stability of the control law is proved using the Lyapunov theory. Then the S-plane controller is designed for the instruction signal of the inner loop. Due to the complexity of derivation in the S-plane controller, a second-order differentiator is introduced. The simulation results show that the proposed controller can track the ideal path accurately, which has good control performance and anti-interference performance.

Key words: unmanned aerial vehicle, global stability, path tracking, motion control, sliding mode control, S-plane control

陈鹏云, 张国兵, 李佳成, 关通, 石上瑶. 固定翼UAV路径跟踪的全局稳定积分滑模S面控制[J]. 计算机工程与应用, 2024, 60(13): 353-360.

CHEN Pengyun, ZHANG Guobing, LI Jiacheng, GUAN Tong, SHI Shangyao. Path Tracking Controller of Fixed-Wing UAVs Based on Globally Stable Integral Sliding Mode S-Plane Model[J]. Computer Engineering and Applications, 2024, 60(13): 353-360.

参考文献

[1] 陈谋, 马浩翔, 雍可南, 等. 无人机安全飞行控制综述[J]. 机器人, 2023, 45(3): 345-366.
CHEN M, MA H X, YONG K N, et al. Safety flight control of UAV: a survey[J]. Robot, 2023, 45(3): 345-366.
[2] 邱潇颀, 高长生, 荆武兴. 变质心固定翼无人机动力学分析与抗扰控制[J]. 北京航空航天大学学报, 2022, 48(3): 430-437.
QIU X Q, GAO C S, JING W X. Dynamic analysis and disturbance rejection control of mass-actuated fixed-wing UAV[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(3): 430-437.
[3] DIN A F U, MIR I, GUL F, et al. Robust flight?control system design of a?fixed wing UAV using optimal dynamic programming[J]. Soft Computing, 2023, 27: 3053-3064.
[4] CHEN P Y, GUAN T, ZHANG G B, et al. Three-dimensional stabilization controller based on improved quaternion transformation for fixed-wing UAVs[J]. ISA Transactions, 2022, 128: 346-354.
[5] FARI S, WANG X M, ROY S, et al. Addressing unmodeled path-following dynamics via adaptive vector field: a UAV test case[J]. IEEE Transactions on Aerospace and Electronic Systems, 2020, 56(2): 1613-1622.
[6] YANG W L, CHEN J T, ZHANG Z G, et al. Robust cascaded horizontal-plane trajectory tracking for fixed-wing unmanned aerial vehicles[J]. Journal of the Franklin Institute, 2022, 359(3): 1083-1112.
[7] SUJIT P B, SARIPALLI S, SOUSA J B. Unmanned aerial vehicle path following: a survey and analysis of algorithms for fixed-wing unmanned aerial vehicles[J]. IEEE Control Systems Magazine, 2014, 34(1): 42-59.
[8] XAVIER D M, SILVA N B F, BRANCO K R L J C. Path-following algorithms comparison using software-in-the-loop simulations for UAVs[J]. Journal of Intelligent & Robotic Systems, 2022, 106(3): 63.
[9] SOUANEF T. L-1 adaptive path-following of small fixed-wing unmanned aerial vehicles in wind[J]. IEEE Transactions on Aerospace and Electronic Systems, 2022, 58(4): 3708-3716.
[10] 崔正阳, 王勇. 无人机固定时间路径跟踪容错制导控制[J]. 北京航空航天大学学报, 2021, 47(8): 1619-1627.
CUI Z Y, WANG Y. Fault-tolerant fixed-time path following guidance control of UAV[J]. Journal of Beijing University of Aeronautics and Astronautics, 2021, 47(8): 1619-1627.
[11] WU W N, WANG Y, CONG C L, et al. Path following control for miniature fixed-wing unmanned aerial vehicles under uncertainties and disturbances: a two-layered framework[J]. Nonlinear Dynamics, 2022, 108(4): 3761-3781.
[12] JANG S H, YANG Y, LEEGHIM H. Angular rate constrained sliding mode control of UAVs for path following[J]. Electronics, 2021, 10(20): 2776.
[13] KIM S, CHO H, JUNG D. Robust path following control via command-filtered backstepping scheme[J]. International Journal of Aeronautical and Space Sciences, 2021, 22(5): 1141-1153.
[14] CHEN P Y, ZHANG G B, GUAN T, et al. The motion controller based on neural network S-plane model for fixed-wing UAVs[J]. IEEE Access, 2021, 9: 93927-93936.
[15] 黄得刚, 赵宏宇, 何启志, 等. 无动力无人机跟踪下滑直线自适应非线性制导律设计[J]. 西北工业大学学报, 2017, 35(3): 528-535.
HUANG D G, ZHAO H Y, HE Q Z, et al. Design of adaptive nonlinear guidance law for unpowered UAV tracking a gliding line [J]. Journal of Northwestern Polytechnical University, 2017, 35(3): 528-535.
[16] 刘学敏, 徐玉如. 水下机器人运动的S面控制方法[J]. 海洋工程, 2001, 19(3): 81-84.
LIU X M, XU Y R. S control of automatic underwater vehicles[J]. The Ocean Engineering, 2001, 19(3): 81-84.
[17] 赵兴成, 陈鹏云, 原梅妮, 等. 鲁棒H∞/S面模型下的无人机高度控制方法[J]. 机械科学与技术, 2018, 37(7): 1143-1148.
ZHAO X C, CHEN P Y, YUAN M N, et al. Method of UAV height control based on H∞/S-plane model[J]. Mechanical Science and Technology for Aerospace Engineering, 2018, 37(7): 1143-1148.
[18] 董早鹏, 万磊, 宋利飞, 等. 基于自适应专家S面算法的微小型USV控制系统设计[J]. 中国造船, 2017, 58(2): 178-188.
DONG Z P, WAN L, SONG L F, et al. Design of control system for micro-USV based on adaptive expert S-plane algorithm[J]. Shipbuilding of China, 2017, 58(2): 178-188.
[19] LI Y, AN L, JIANG Y Q, et al. Dynamic positioning test for removable of ocean observation platform[J]. Ocean Engineering, 2018, 153: 112-121.
[20] LUGO-CáRDENAS I, SALAZAR S, LOZANO R. Lyapunov based 3D path following kinematic controller for a fixed wing UAV[J]. IFAC-Papers OnLine, 2017, 50(1): 15946-15951.
[21] 刘金琨. 滑模变结构控制MATLAB仿真: 先进控制系统设计方法[M]. 北京: 清华大学出版社, 2015.
LIU J K. Sliding mode control design and MATLAB simulation: the design method of advanced control system[M]. Beijing: Tsinghua University Press, 2015.
[22] 王新华, 刘金琨. 微分器的设计与应用—信号滤波与求导[M]. 北京: 电子工业出版社, 2010.
WANG X H, LIU J K. Differentiator design and application—signal filtering and differentiation[M]. Beijing: Publishing House of Electronics Industry, 2010.
[23] CARDOSO D, ESTEBAN S, RAFFO G. A new robust adaptive mixing control for trajectory tracking with improved forward flight of a tilt-rotor UAV[J]. ISA Transactions, 2021, 110: 86-104.