Linear time-invariant feedback operator for mobile robot trajectory tracking

作者: Suruz Miah , Wail Gueaieb , Peter A. Farkas , Salah Al-Sharhan , Davide Spinello

DOI: 10.1109/I2MTC.2015.7151362

关键词: Linear systemEngineeringLTI system theoryFeedback linearizationTrajectoryMobile robotControl engineeringControl theoryRobot kinematicsNonholonomic systemRobot control

摘要: In this paper we propose a linear time-invariant (LTI) state feedback operator for nonholonomic mobile robots to track pre-defined trajectory on 2D planar region. Designing an on-line smooth control law is still among the major challenges solving tracking problem of systems including differential drive robots. To address problem, numerous nonlinear laws have been proposed date. Most these yield online solutions with satisfactory errors asymptotically. most cases, they suffer from overwhelming degree computational complexity even using simple unicycle-like system. The offers advantage being and LTI state-feedback in addition its capability problems partially observed systems. shortcoming that computed off-line before robot applies signal into left right wheels through their actuators. theoretical results are supported by computer simulations followed experiments e-puck robot.

参考文章(29)
Maciej Michalek, Krzysztof Kozlowski, Vector-Field-Orientation Feedback Control Method for a Differentially Driven Vehicle IEEE Transactions on Control Systems and Technology. ,vol. 18, pp. 45- 65 ,(2010) , 10.1109/TCST.2008.2010406
Robert F. Stengel, Optimal Control and Estimation ,(1994)
R. W. Brockett, Asymptotic stability and feedback stabilization Differential geometric control theory. ,vol. 27, pp. 181- 191 ,(1983)
M. Suruz Miah, Wail Gueaieb, RFID-Based Mobile Robot Trajectory Tracking and Point Stabilization Through On-line Neighboring Optimal Control Journal of Intelligent and Robotic Systems. ,vol. 78, pp. 377- 399 ,(2015) , 10.1007/S10846-014-0048-3
Jian-Xin Xu, Zhao-Qin Guo, Tong Heng Lee, Design and Implementation of Integral Sliding-Mode Control on an Underactuated Two-Wheeled Mobile Robot IEEE Transactions on Industrial Electronics. ,vol. 61, pp. 3671- 3681 ,(2014) , 10.1109/TIE.2013.2282594
M. Suruz Miah, Wail Gueaieb, Optimal time-varying P-controller for a class of uncertain nonlinear systems International Journal of Control, Automation and Systems. ,vol. 12, pp. 722- 732 ,(2014) , 10.1007/S12555-013-0234-2
Qing Zhu Cui, Xun Li, Xiang Ke Wang, Meng Zhang, Backstepping Control Design on the Dynamics of the Omni-Directional Mobile Robot Applied Mechanics and Materials. ,vol. 203, pp. 51- 56 ,(2012) , 10.4028/WWW.SCIENTIFIC.NET/AMM.203.51
Jun Ho Lee, Cong Lin, Hoon Lim, Jang Myung Lee, Sliding mode control for trajectory tracking of mobile robot in the RFID sensor space International Journal of Control, Automation and Systems. ,vol. 7, pp. 429- 435 ,(2009) , 10.1007/S12555-009-0312-7
Zhongsheng Hou, Shangtai Jin, Data-Driven Model-Free Adaptive Control for a Class of MIMO Nonlinear Discrete-Time Systems IEEE Transactions on Neural Networks. ,vol. 22, pp. 2173- 2188 ,(2011) , 10.1109/TNN.2011.2176141