Dynamics  Model and Balanced Pitching Control of a Unicycle Robot

Abstract

Abstract:

Dynamics of a three driven joints' unicycle robot and controller to achieve the robot's balanced pitching motion were disscused herein.Firstly,considering the coholonomic constrain between the running wheel and the ground,a dynamics model for the unicycle robot was established by using Chaplygin equation.The model reveals there are 6 generalized velocities and 3 underactuated freedoms in the robot system. Secondly,focusing on the dynamics subsystem of the robot's balanced pitching motion, and a controller for this kind of motion was developed. The controller was based on the partial feedback linearization method, which linearized the underactuated pitching angle,and took the pitching angle and the rotating angle of the running wheel as outputs.The numerical simulation and prototype experiments were performed to testify the validilities of the proposed controller.

Key words: unicycle , robot;dynamics , model;balanced pitching motion;partial feedback linearization

摘要：

针对一台3驱动独轮车机器人系统，分析了其动力学特性并给出了一种可以实现其前后俯仰平衡运动的控制方法。根据行走轮与地面接触的非完整约束特性，引入Chaplygin方程建立系统的动力学模型，结果发现独轮车机器人是一个具有6个独立广义速度、3个欠驱动自由度的欠驱动系统。考虑车体俯仰平衡运动的力学子系统，采用部分反馈线性化方法，将其中的欠驱动车体俯仰角线性化，并选择车体俯仰角和行走轮转动角为输出,设计了系统俯仰平衡运动的非线性控制器。最后通过数值仿真控制与物理样机实验验证了所设计控制器的有效性。

关键词: 独轮车机器人, 动力学模型, 俯仰平衡运动, 部分反馈线性化

CLC Number:

TP24

Zhuang Wei, Liu Chengju, Jiang Han, He Shutong. Dynamics Model and Balanced Pitching Control of a Unicycle Robot[J]. China Mechanical Engineering, 2016, 27(04): 468-474.

庄未, 刘成举, 江汉, 何淑通. 一种独轮车机器人的动力学建模及俯仰平衡控制[J]. 中国机械工程, 2016, 27(04): 468-474.

References

[1]Schoonwinkel A.Design and Test of a Computer Stabilized Unicycle[D].Standford:Stanford University,1987.

[2]Vos D W.Nonlinear Control of an Autonomous Unicycle Robot:Practical Issues[D].Cambridge:MIT,1992.

[3]Sheng Zaiquan,Yamafuji K.Postural Stability of a Human Riding a Unicycle and Its Emulation by a Robot[J]. IEEE Transactions on Robotics and Automation,1997，13:709-720.

[4]Ha Y,Yuta S.Trajectory Tracking Control for Navigation of Self-contained Mobile Inverse Pendulum[C]//Proc. of the 1994 IEEE/RSJ Int. Conf. on Intelligent Robots and Systems.Munich,1994:1875-1882.

[5]Brown H B,Xu Y.A Single-wheel Gyroscopically Stabilized Robot[C]//Proceedings of the 1996 IEEE International Conference on Robotics and Automation.Minncapolis,Minnesota，1996:3658-3663.

[6]Xu Y,Au K W,Nandy G C,et al.Analysis of Actuation and Dynamic Balancing for a Single Wheel Robot[C]//Proceedings of the 1998 IEEE/RSJ Int. Conf. on Intelligent Robots and Systems.Victoria,1789-1794.

[7]Gora C.Nandy I T,Xu Y.Dynamic Model of a Groscopic Wheel[C]//Proceedings of the 1998 IEEE International Conference on Robotics & Automation.Leuven,Belgium,1998:1683-2688.

[8]Ou Yongsheng,Xu Yangsheng.Balance Control of a Single Wheel Robot[C]//Proceedings of the 2002 IEEE/RSJ Int. Conference on Intelligent Robots and System.Lausane,Switzerland,2002:2043-2048.

[9]Saleh T,Hann Y H,Zhu Z,et al.Design of a Gyroscopically Stabilized Single-wheel Robot[C]//IEEE International Conference on Robotics,Automation an Mechatronics,RAM2004.Singapore,2004:904-908.

[10]Mamun A,Zhu Z,Vadakkepat P,et al.Tracking Control of the Gyrobots: a Gyroscopically-stabilized Single-wheeled Robot[C]//The 31st Annual Conference of the IEEE Industrial Electronics Society, IECON05.Raleigh, North Carolina, USA,2005:1839-1844.

[11]Zhen Z,Abdullah A M,Prahlad V,et al.Line Tracking of the Gyrobot-A Gyroscopically Stabilized Single-wheeled Robot[C]//Proceedings of the 2006 IEEE International Conference on Robotics and Biomimetics.Kunming,2006:293-298.

[12]Dao M Q,Liu K Z.Gain-scheduled Stabilization Control of a Unicycle Robot[J].JSME International Journal,2005, 48(4):649-656.

[13]Lauwers T B,Kantor G A,Hollis R L.A Dynamically Stable Single Wheeled Mobile Robot with Inverse Mouse-ball Drive[C]//Proceeding of the 2006 IEEE International Conference on Robotics and Automation,Orlando,Florida,2006:2884-2889.

[14]de Callafon R A.UCSD Jacobs.School of Engineering[EB/OL]. [2015-03-03].http://maeresearch.ucsd.edu/callafon/research/index.html#PROJECTS.

[15]丛秋波. 村田制造所：“村田顽童”携手“村田婉童”展示高新技术[J]. 电子设计技术,2008(12):124-125.

Cong Qiubo.Murata Manufacture:“Murata Boy” Hand in Hand “Murata Tong” Exhibition of High-tech[J]. Electronic Design Technology，2008(12)：124-125.

[16]郭磊，廖启征，魏世明,等.独轮车机器人的动力学建模与非线性控制[J].系统仿真学报,2009,21(9):2730-2733.

Guo Lei,Liao Qizheng,Wei Shiming,et al.Dynamical Modeling and Nonlinear Control of Unicycle Robot[J].Journal of System Simulation,2009,21(9):2730-2733.

[17]Lee J H,Shin H J,Lee S J,et al.Novel Air Blowing Control for Balancing a Unicycle Robot[J].Intelligent Robots and Systems,2010,2529-2530.

[18]朱晓庆,阮晓钢,魏若岩.基于惯性飞轮的独轮自平衡机器人侧向动力学分析[J].应用力学学报,2013,30(3):395-400.

Zhu Xiaoqing,Ruan Xiaogang,Wei Ruoyan.Lateral Dynamic Analysis of Self-balance Single Wheel Robot Based on Flywheel[J].Journal of Applied Mechanics,2013,30(3):395-400.

[19]阮晓钢,胡敬敏, 王启源,等.一种独轮车机器人的滑模控制[J]. 控制工程, 2011,18(1):128-132.

Ruan Xiaogang,Hu Jingmin,Wang Qiyuan,et al.Sliding-mode Control of a Unicycle Robot[J].Control Engineering,2011,18(1):128-132.

[20]朱晓庆, 阮晓钢,魏若岩, 等. 独轮机器人侧向通道建模与控制[J].北京工业大学学报,2013,39(10):1474-1480.

Zhu Xiaoqing,Ruan Xiaogang,Wei Ruoyan,et al.Lateral Dynamic Modeling and Control of a Single Wheel Robot[J].Journal of Beijing University of Technology,2013,39(10): 1474-1480.

[21]王启源,阮晓钢.独轮自平衡机器人双闭环非线性PID控制[J].控制与决策,2013,27(4):593-597.

Wang Qiyuan,Ruan Xiaogang.Dual Loop Nonlinear PID Control of Single-wheeled Robot[J].Control and Decision Making, 2013, 27(4):593-597.

[22]白占欣.六自由度独轮机器人本体研制及动力学控制方法研究[D].哈尔滨:哈尔滨工业大学,2011.

Dynamics Model and Balanced Pitching Control of a Unicycle Robot

一种独轮车机器人的动力学建模及俯仰平衡控制

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