Hybrid Control Law for Path Tracking of Dual-differential-driven Mobile Robot

Wu Xing, Zhu Linjun, Shi Chenchen, Lou Peihuang, Qian Xiaoming

Abstract

A dual-differential-driven mobile robot is consisted of two differential driving modules equipped with normal-shape wheels, suffering from constraints of nonholonomic and redundancy in motion. A two-input-two-output nonlinear kinematics model was established for path tracking of the proposed mobile robot and then linearized by the approach of input-output linearization. The need for coordinating the speeds of two driving modules was analyzed when considering the redundancy in motion, and a hybrid control law combining an evaluation function method of error intelligent-transformation with an approach of exponential stability control was proposed. The evaluation function method was used to compute the suitable control output intelligently for different error states so as to convert them into the applicable range of exponential stability control. Then the latter was used to eliminate posture angle error and distance error synchronously towards zero. The results of digital simulation and experiment test showed that the hybrid control law could transform error states smoothly and eliminate two pose errors synchronously, and the mobile robot could track the linear and circular guide paths accurately and steadily.


Keywords: Mobile robot, Path tracking, Dual differential driven, Evaluation function, Exponential stability

 

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Zhou Jun, Ji Changying, Liu Chengliang. Visual navigation system of agricultural wheeled-mobile robot [ J ] . Transactions of the Chinese Society for Agricultural Machinery, 2005, 36(3) ; 90 -94. (in Chinese)

Aguiar A P, Hespanha J P. Trajectory-tracking and path-following of underactuated autonomous vehicles with parametric modeling uncertainty[ J]. IEEE Transactions on Automatic Control, 2007, 52(8) ; 1362 - 1379.

Wu Xing, Lou Peihuang, Yang Lei. Intelligent predictive control based on state analysis of visual field for robot path tracking[ J ]. Robot, 2009, 31 (4) ; 357 -364. (in Chinese)

Birol Soysal. Real-time control of an automated guided vehicle using a continuous mode of sliding mode control [ J ]. Turkish Journal of Electrical Engineering & Computer Sciences, 2014, 22: 1298 - 1306.

Dunbing. Integrated motion control of path tracking and servo control for an automated guided vehicle[J]. Journal of Mechanical Engineering, 2011 , 47(3) :43 -48. (in Chinese)

Salih JEM, Rizon M, Yaacob S, et al. Designing omni-directional mobile robot with mecanum wheel[J]. American Journal of Applied Sciences, 2006, 3(5): 1831 - 1835.

Leow Y P, Low К H, Loh W K. Kinematic modeling and analysis of mobile robots with omni-directional wheels[C] //7th IEEEInternational Conference on Control, Automation, Robotics and Vision. , Marine Mandarin, 2002, 2: 820 -825.

Han К L, Choi О K, Kim J, et al. Design and control of mobile robot with mecanum wheel [ С ] // ICROS-SICE International Joint Conference, Fukuoka, 2009: 2932 -2937.

Wang Rongrong, Zhang Hui, Wang Junmin. Linear parameter-varying controller design for four-wheel independently actuated electric ground vehicles with active steering systems[J]. IEEE Transactions on Control Systems Technology, 2014, 22(4) : 1281 - 1296.

Chen Ping, Ni Zhen, Ma Wei. The path following control analysis for 4-wheel differential omnidirectional mobile robot [ J ]. Journal of Chongqing University, 2013 , 36 (3 ) : 20 - 24. (in Chinese)

Borenstein J. Control and kinematic design of multi-degree-of-freedom mobile robots with compliant linkage [J]. IEEE Transactions on Robotics and Automation, 1995, 11 ( 1 ): 21 -35.

Zhou Gang, Yao Qionghui, Chen Yongbing, et al. Global straight-line tracking control of ships based on input-output linearization [J]. Control Theroy & Applications, 2007, 24( 1 ) : 117 - 121. (in Chinese)

Li Xiangping, Wu Hansong, Wu Yao. Neural sliding mode controller and simulation for ship’s track-keeping systems based on input-output linearization [ J ]. Ship Electronic Engineering, 2013 , 33 (7 ) : 42 - 44. (in Chinese)

de Luca A, Lucibello P. General algorithm for dynamic feedback linearization of robots with elastic joints[C] //IEEE International Conference on Robotics and Automation, Leuven, 1998, 1 : 504 -510.

Guo Lei, Liao Qizheng, Wei Shimin. Dynamic modeling of bicycle robot and nonlinear control based on feedback linearization of MIMO systems[J]. Journal of Beijing University of posts and Telecommunications, 2007, 30( 1 ) ; 80 -84. (in Chinese)

Kim D H, Oh J II. Tracking control of a two-wheeled mobile robot using input-output linearization [J ]. Control Engineering Practice, 1999, 7(3 ) :369 - 373.


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