This paper investigates the fixed-time trajectory tracking problem for uncertain robot manipulators and proposes a fixed-time nonsingular terminal sliding mode controller. First, an adaptive disturbance observer is constructed to estimate the unknown lumped disturbance in fixed-time. Then, a nonsingular terminal sliding mode surface is developed by introducing the auxiliary function. Based on the designed sliding mode surface and disturbance observer, a continuous fixed-time nonsingular terminal sliding mode controller is designed to ensure that the upper bound of the convergence time is independent of system initial conditions. Rigorous stability is given by utilizing the Lyapunov theory. Finally, numerical simulation results demonstrate the effectiveness and superiority of the proposed method.
AnjumZGuoYYaoW (2021) Fault tolerant control for robotic manipulator using fractional-order backstepping fast terminal sliding mode control. Transactions of the Institute of Measurement and Control43(14): 3244–3254.
2.
BaekJJinMHanS (2016) A new adaptive sliding-mode control scheme for application to robot manipulators. IEEE Transactions on Industrial Electronics63(6): 3628–3637.
3.
BasinMShtesselYAldukaliF (2016) Continuous finite-and fixed-time high-order regulators. Journal of the Franklin Institute353(18): 5001–5012.
4.
BoukattayaMMezghaniNDamakT (2018) Adaptive nonsingular fast terminal sliding-mode control for the tracking problem of uncertain dynamical systems. ISA Transactions77: 1–19.
5.
ChenQXieSSunM, et al. (2018) Adaptive nonsingular fixed-time attitude stabilization of uncertain spacecraft. IEEE Transactions on Aerospace and Electronic Systems54(6): 2937–2950.
6.
FengYYuXHanF (2013) On nonsingular terminal sliding-mode control of nonlinear systems. Automatica49(6): 1715–1722.
7.
FengYYuXManZ (2002) Non-singular terminal sliding mode control of rigid manipulators. Automatica38(12): 2159–2167.
8.
JinMKangSHChangPH, et al. (2017) Robust control of robot manipulators using inclusive and enhanced time delay control. IEEE/ASME Transactions on Mechatronics22(5): 2141–2152.
9.
LiHCaiY (2022) Fixed-time non-singular terminal sliding mode control with globally fast convergence. IET Control Theory & Applications16(12): 1227–1241.
10.
LiTDuanSLiuJ, et al. (2015) A spintronic memristor-based neural network with radial basis function for robotic manipulator control implementation. IEEE Transactions on Systems, Man, and Cybernetics: Systems46(4): 582–588.
11.
LuNMaLHuaX (2022) Nonsingular fast terminal sliding mode control based on neural network with adaptive robust term for robotic manipulators with actuators. Transactions of the Institute of Measurement and Control44(15): 2888–2899.
12.
MaYJZhaoHLiT (2022) Robust adaptive dual layer sliding mode controller: Methodology and application of uncertain robot manipulator. Transactions of the Institute of Measurement and Control44(4): 848–860.
13.
ManZPaplinskiAPWuHR (1994) A robust MIMO terminal sliding mode control scheme for rigid robotic manipulators. IEEE Transactions on Automatic Control39(12): 2464–2469.
14.
OuyangPAcobJPanoV (2014) PD with sliding mode control for trajectory tracking of robotic system. Robotics and Computer-integrated Manufacturing30(2): 189–200.
15.
PolyakovA (2012) Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Transactions on Automatic Control57(8): 2106–2110.
16.
ŠabanovicA (2011) Variable structure systems with sliding modes in motion control—a survey. IEEE Transactions on Industrial Informatics7(2): 212–223.
17.
ShojaeiKShahriAMTarakamehA (2011) Adaptive feedback linearizing control of nonholonomic wheeled mobile robots in presence of parametric and nonparametric uncertainties. Robotics and Computer-integrated Manufacturing27(1): 194–204.
18.
SuBWangHbWangY (2021) Dynamic event-triggered formation control for AUVs with fixed-time integral sliding mode disturbance observer. Ocean Engineering240: 109893.
19.
SuYZhengC (2019) Fixed-time inverse dynamics control for robot manipulators. Journal of Dynamic Systems, Measurement, and Control141(6): 064502.
20.
SuYZhengCMercorelliP (2020) Robust approximate fixed-time tracking control for uncertain robot manipulators. Mechanical Systems and Signal Processing135: 106–379.
21.
SunFSunZFengG (1999) An adaptive fuzzy controller based on sliding mode for robot manipulators. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics)29(5): 661–667.
22.
SunTPeiHPanY, et al. (2011) Neural network-based sliding mode adaptive control for robot manipulators. Neurocomputing74(14–15): 2377–2384.
23.
TangY (1998) Terminal sliding mode control for rigid robots. Automatica34(1): 51–56.
24.
WuXXuKHeX (2020) Disturbance-observer-based nonlinear control for overhead cranes subject to uncertain disturbances. Mechanical Systems and Signal Processing139: 106631.
25.
YiSZhaiJ (2019) Adaptive second-order fast nonsingular terminal sliding mode control for robotic manipulators. ISA Transactions90: 41–51.
26.
YuLHeGWangX, et al. (2021) Robust fixed-time sliding mode attitude control of tilt trirotor UAV in helicopter mode. IEEE Transactions on Industrial Electronics69(10): 10322–10332.
27.
YuSYuXShirinzadehB, et al. (2005) Continuous finite-time control for robotic manipulators with terminal sliding mode. Automatica41(11): 1957–1964.
28.
ZhangYTangSGuoJ (2018) Adaptive terminal angle constraint interception against maneuvering targets with fast fixed-time convergence. International Journal of Robust and Nonlinear Control28(8): 2996–3014.
29.
ZuoZ (2015) Non-singular fixed-time terminal sliding mode control of non-linear systems. IET Control Theory & Applications9(4): 545–552.
