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Zhou Yusheng, Wen Xiangrong, Wang Zaihua. ON THE NONHOLONOMIC CONSTRAINTS AND MOTION CONTROL OF WHEELED MOBILE STRUCTURES1)[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(4): 1143-1156. DOI: 10.6052/0459-1879-19-257
Citation: Zhou Yusheng, Wen Xiangrong, Wang Zaihua. ON THE NONHOLONOMIC CONSTRAINTS AND MOTION CONTROL OF WHEELED MOBILE STRUCTURES1)[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(4): 1143-1156. DOI: 10.6052/0459-1879-19-257

ON THE NONHOLONOMIC CONSTRAINTS AND MOTION CONTROL OF WHEELED MOBILE STRUCTURES1)

  • Received Date: September 08, 2019
  • When a particle moves along a smooth curve, the condition of zero lateral velocity should be satisfied. In the same way, different wheeled structures are all restrained by such nonholonomic constraint when they move along smooth curves on a plane. In this paper, holonomic and nonholonomic constraint equations of various kinds of wheeled structures are clarified, combined with the holonomic constraint relationship between the rotation speed of wheels and their motion speed. Then, the corresponding dynamical equations are readily derived by means of the Euler-Lagrange equation of nonholonomic mechanical systems. In addition, the target trajectory curve is converted to a form of speed target based on such nonholonomic constraint, and the relative curvature of target trajectory curve is introduced to design an appropriate dynamical tracking target. Furthermore, the motion law of the wheeled mobile structure can be organically combined with the dynamical equation by adopting such dynamical tracking target, and the original motion task can be simplified into a common trajectory tracking control problem. Consequently, an appropriate robust controller is designed to track the relative curvature of target trajectory curve on the basis of dynamical tracking target, such that the wheeled mobile structure can precisely follow the target trajectory curve. Theoretical analysis and simulation results indicate that the dynamical tracking target method can essentially solve the problem that the initial speed error is large enough and the position error is continuously accumulated. Even if the forward speed error system is not stable, the actual motion trajectory can almost be coincide with the target trajectory curve.
  • [1] Chan RPM, Stol KA, Halkyard CR. Review of modelling and control of two-wheeled robots. Annual Reviews in Control, 2013,37(1):89-103
    [2] Li ZJ, Yang CG, Fan LP. Advanced Control of Wheeled Inverted Pendulum Systems. London, Springer, 2013
    [3] Cui RX, Guo J, Mao ZY. Adaptive backstepping control of wheeled inverted pendulums models. Nonlinear Dynamics, 2015,79(1):501-511
    [4] 阮晓钢, 蔡建羡, 李欣源 等. 两轮自平衡机器人的研究与设计. 北京: 科学出版社, 2012: 1-12
    [4] ( Ruan Xiaogang, Cai Jianxin, Li Xinyuan, et al. The Study and Design of Two-Wheeled Self-Balancing Robot. Beijing: Science Press, 2012: 1-12(in Chinese))
    [5] Grasser F, D'Arrigo A, Colombi S, et al. JOE: A mobile inverted pendulum. IEEE Transaction on Industrial Electronics, 2012,49(1):107-114
    [6] 侯忠生, 许建新. 数据驱动控制理论及方法的回顾和展望. 自动化学报, 2009,35(6):650-667
    [6] ( Hou Zhongsheng, Xu Jianxin. On data-driven control theory: the state of the art and perspective. Acta Automatica Sinica, 2009,35(6):650-667 (in Chinese))
    [7] 谭跃刚. 非完整机器人的原理与控制. 北京: 科学出版社, 2011: 12-32
    [7] ( Tan Yuegang. The Principle and Control of Nonholonomic Robots. Beijing: Science Press, 2011: 12-32(in Chinese))
    [8] 胡海岩. 论力学系统的自由度. 力学学报, 2018,50(5):1135-1144
    [8] ( Hu Haiyan. On the degrees of freedom of a mechanical system. Chinese Journal of Theoretical and Applied Mechanics, 2018,50(5):1135-1144 (in Chinese))
    [9] 葛一敏, 袁海辉, 甘春标. 基于步态切换的欠驱动双足机器人控制方法. 力学学报, 2018,50(4):871-879
    [9] ( Ge Yimin, Yuan Haihui, Gan Chunbiao. Control method of an underactuated biped robot based on gait transition. Chinese Journal of Theoretical and Applied Mechanics, 2018,50(4):871-879 (in Chinese))
    [10] 付晓东, 陈力. 全柔性空间机器人运动振动一体化输入受限重复学习控制. 力学学报, 2020,52(1):171-183
    [10] ( Fu Xiaodong, Chen Li. An input limited repetitive learning control of flexible-base two-flexible-link and two-flexible-joint space robot with integration of motion and vibration. Chinese Journal of Theoretical and Applied Mechanics, 2020,52(1):171-183 (in Chinese))
    [11] Bloch AM, Bailliewl J, Crouch P, et al. Nonholonomic Mechanics and Control. Second Edition, New York: Springer-verlag, 2004
    [12] Liu HG, Shi DH. Optimal control of a mobile robot on sphere. Theoretical & Applied Mechanics Letters, 2019,9(1):34-38
    [13] Murry RM, Sastry SS. Nonholonomic motion planning: Steering using sinusoids. IEEE Transaction on Automatic Control, 1993,38(5):700-716
    [14] Godhavn J, Egeland O. A Lyapunov approach to exponential stabilization of nonholonomic systems in power form. IEEE Transactions on Automatic Control, 1997,42(7):1028-1032
    [15] Tilbury R, Murray RM, Sastry SS. Trajectory generation for the n-trailer problem using goursat normat form. IEEE Transactions on Automatic Control, 1995,40(5):802-819
    [16] Yang CG, Li ZJ, Cui RX, et al. Neural network-based motion control of underactuated wheeled inverted pendulum models. IEEE Transactions on Neural Networks and Learning Systems, 2014,25(11):2004-2016
    [17] Huang J, Ri MH, Wu DR. Interval type-2 fuzzy logic modeling and control of a mobile two-wheeled inverted pendulum. IEEE Transactions on Fuzzy Systems, 2018,26(4):2030-2038
    [18] Yue M, An C, Da Y, et al. Indirect adaptive fuzzy control for a nonholonomic/underactuated wheeled inverted pendulum vehicle based on a data-driven trajectory planner. Fuzzy Sets & Systems, 2016,290:158-177
    [19] Yue M, Wang S, Sun JZ. Simultaneous balancing and trajectory tracking control for two-wheeled inverted pendulum vehicles: A composite control approach. Neurocomputing, 2016,191:44-54
    [20] Wen CY, Huang JS, Wang W, et al. Adaptive output feedback tracking control of a nonholonomic mobile robot. Automatica, 2014,50(3):821-831
    [21] 彭海军, 李飞, 高强 等. 多体系统轨迹跟踪的瞬时最优控制保辛方法. 力学学报, 2016,48(4):784-791
    [21] ( Peng Haijun, Li Hui, Gao Qiang, et al. Symplectic method for instantaneous optimal control of multibody system trajectory tracking. Chinese Journal of Theoretical and Applied Mechanics, 2016,48(4):784-791 (in Chinese))
    [22] Zhou YS, Wang ZH. Motion controller design of wheeled inverted pendulum with an input delay via optimal control theory. Journal of Optimization Theory and Applications, 2016,168(2):625-645
    [23] Kim Y, Kim SH, Kwak YK. Dynamic analysis of a nonholonomic two-wheeled inverted pendulum robot. Journal of Intelligent and Robotic Systems, 2005,44(1):25-46
    [24] Kim S, Kwon SJ. Dynamic modeling of a two-wheeled inverted pendulum balancing mobile robot. International Journal of Control, Automation and Systems, 2015,13(4):926-933
    [25] Zhou YS, Wang ZH. Robust motion control of a two-wheeled inverted pendulum with an input delay based on optimal integral sliding mode manifold. Nonlinear Dynamics, 2016,85(3):2065-2074
    [26] Ning YG, Yue M, Yang L, et al. A trajectory planning and tracking control approach for obstacle avoidance of wheeled inverted pendulum vehicles. International Journal of Control, 2018: 1-11
    [27] Yue M, Hou XQ, Hou WB. Composite path tracking control for tractor-trailer vehicles via constrained model predictive control and direct adaptive fuzzy techniques. Journal of Dynamic Systems, 2017,139:111008-1
    [28] Hou XQ, Yue M, Zhao J, et al. An ESO-based integrated trajectory tracking control for tractor-trailer vehicles with various constraints and physical limitations. International Journal of Systems Science, 2018,49(15):3202-3215
    [29] Yue M, Hou XQ, Gao RJ. Trajectory tracking control for tractor-trailer vehicles: A coordinated control approach. Nonlinear Dynamics, 2018,91:1061-1074
    [30] Zhou YS, Wang ZH, Chung KW. Turning motion control design of a two-wheeled inverted pendulum using curvature tracking and optimal control. Journal ofOptimization Theory and Applications, 2019,181(2):634-652
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