The main objective of this paper is to handle the trajectory tracking control for a class of three-wheel mobile robot by using a novel adaptive robust control. The mobile robot consists of nonholonomic constraints and uncertainties. The uncertainties include initial condition offset, mass, and moment of inertia of the system, which are time-varying and bounded (unknown). The control force in analytical form is obtained by UK theory, and the adaptive robust control is formulated to handle the uncertainties. For estimating the unknown bounds of uncertainties, the leakage-type adaptive law is designed, which can automatically adjust its own value according to the trajectory tracking errors. Then we verify the uniform boundedness and uniform ultimate boundedness of the proposed control by Lyapunov method. Finally, numerical simulations are conducted to show the trajectory tracking effectiveness of the designed control method.
AbiyevRHAkkayaNGunselI (2019) Control of omnidirectional robot using Z-number-based fuzzy system. IEEE Transactions on Systems, Man, and Cybernetics: Systems49(1): 238–252.
2.
AmirkhaniANasiriyan-RadHPapageorgiouEI (2020a) A novel fuzzy inference approach: neuro-fuzzy cognitive map. International Journal of Fuzzy Systems22(3): 859–872.
3.
AmirkhaniAShirzadehMKumbasarT, et al. (2022) A framework for designing cognitive trajectory controllers using genetically evolved interval type-2 fuzzy cognitive maps. International Journal of Intelligent Systems37(1): 305–335.
4.
AmirkhaniAShirzadehMShojaeefardMH, et al. (2020b) Controlling wheeled mobile robot considering the effects of uncertainty with neuro-fuzzy cognitive map. ISA Transactions100: 454–468.
5.
ChenYH (2009) Constraint-following servo control design for mechanical systems. Journal of Vibration and Control15(3): 369–389.
6.
ChenYLiZKongH, et al. (2019) Model predictive tracking control of nonholonomic mobile robots with coupled input constraints and unknown dynamics. IEEE Transactions on Industrial Informatics15(6): 3196–3205.
7.
ChenZLiuYHeW, et al. (2021) Adaptive-neural-network-based trajectory tracking control for a nonholonomic wheeled mobile robot with velocity constraints. IEEE Transactions on Industrial Electronics68(6): 5057–5067.
8.
ChenYHZhangX (2010) Adaptive robust approximate constraint-following control for mechanical systems. Journal of Franklin Institute347(1): 69–86.
JeongSChwaD (2021) Sliding-mode-disturbance-observer-based robust tracking control for omnidirectional mobile robots with kinematic and dynamic uncertainties. IEEE/ASME Transactions on Mechatronics26(2): 741–752.
11.
KarkoubMBouhaliOSheharyarA (2021) Gas pipeline inspection using autonomous robots with omni-directional cameras. IEEE Sensors Journal21(14): 15544–15553.
12.
LafmejaniASFarivarnejadHBermanS (2020) H∞-Optimal Tracking Controller for Three-Wheeled Omnidirectional Mobile Robots with Uncertain Dynamics. In: 2020 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), Las Vegas, NV, 24 October 2020–24 January 2021, 2020, pp. 7587–7594.
13.
MylapilliHUdwadiaFE (2017) Control of three-dimensional incompressible hyperelastic beams. Nonlinear Dynamics90: 115–135.
14.
NirouiFZhangKKashinoZ, et al. (2019) Deep reinforcement learning robot for search and rescue applications: exploration in unknown cluttered environments. IEEE Robotics and Automation Letters4(2): 610–617.
15.
QinWShangguanWBYinH, et al. (2021) Constraint-following control design for active suspension systems. Mechanical Systems and Signal Processing154: 107578.
16.
ShirzadehMAmirkhaniAShojaeefardMH, et al. (2019) Adaptive fuzzy sliding mode and indirect radial-basis-function neural network controller for trajectory tracking control of a car-like robot. International Journal of Nonlinear Analysis and Applications10(1): 153–166.
17.
SunHChenYHHuangK, et al. (2019) Controlling the differential mobile robot with system uncertainty: constraint-following and the adaptive robust method. Journal of Vibration and Control25(6): 1294–1305.
18.
TaylorAMMatsumotoSXiaoW, et al. (2021) Social navigation for mobile robots in the emergency department. In: 2021 IEEE International Conference on Robotics and Automation (ICRA), Xi’an, China, 30 May 2021–05 June 2021, 2021, pp. 3510–3516.
19.
TangHWangAXueF, et al. (2021) A novel hierarchical soft actor-critic algorithm for multi-logistics robots task allocation. IEEE Access9: 42568–42582.
20.
TianJYuanLXiaoW, et al. (2022a) Constrained control methods for lower extremity rehabilitation exoskeleton robot considering unknown perturbations. Nonlinear Dynamics108: 1395–1408.
21.
TianJYuanLXiaoW, et al. (2022b) Trajectory following control of lower limb exoskeleton robot based on Udwadia-Kalaba theory. Journal of Vibration and Control28(21–22): 3383–3396.
22.
TorkNAmirkhaniAShokouhiSB (2021) An adaptive modified neural lateral-longitudinal control system for path following of autonomous vehicles. Engineering Science and Technology, an International Journal24: 126–137.
23.
UdwadiaFE (2003) A new perspective on the tracking control of nonlinear structural and mechanical systems. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences459(2035): 1783–1800.
24.
UdwadiaFEKalabaRE (1992) A new perspective on constrained motion. Proceedings of the Royal Society: Mathematical and Physical Sciences439(1906): 407–410.
25.
UdwadiaFEKalabaRE (2002) What is the general form of the explicit equations of motion for constrained mechanical systems?Journal of Applied Mechanics69: 335–339.
26.
YuRDingSTianH, et al. (2022) A hierarchical constraint approach for dynamic modeling and trajectory tracking control of a mobile robot. Journal of Vibration and Control28(5–6): 564–576.
27.
YuRZhaoHZhenS, et al. (2017) A novel trajectory tracking control of AGV based on Udwadia-Kalaba approach. IEEE/CAA Journal of Automatica Sinica: 1–13. DOI: 10.1109/JAS.2016.7510139.
28.
ZhaoXMChenYHZhaoH, et al. (2018) Udwadia-Kalaba equation for constrained mechanical systems: formulation and applications. Chinese Journal of Mechanical Engineering31: 106–124.
29.
ZhangXYangDZhangW, et al. (2022) Optimal robust constraints-following control for rail vehicle virtual coupling. Journal of Vibration and Control29: 1352–1365. DOI: 10.1177/10775463211062333.
30.
ZhaoRYuJYangH, et al. (2022) Contact constraints-based dynamic manipulation control of the multi-fingered hand robot: a force sensorless approach. Nonlinear Dynamics107: 1081–1105.
31.
ZhenSMaMLiuX, et al. (2022) Model-based robust control design and experimental validation of SCARA robot system with uncertainty. Journal of Vibration and Control29: 91–104. DOI: 10.1177/10775463211042178.
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