Adaptive sliding mode trajectory tracking control for wheeled mobile robots

ABSTRACT This paper discusses the problem of adaptive sliding mode trajectory tracking control for wheeled mobile robots in the presence of external disturbances and inertia uncertainties. A new fast nonsingular terminal sliding mode surface without any constraint is proposed, which not only avoids singularity, but also retains the advantages of sliding mode control. In order to implement the trajectory tracking mission, the error dynamic system is divided into a second-order subsystem and a third-order one. First, an adaptive fast nonsingular terminal sliding mode control law of the angular velocity is constructed for stabilising the second-order subsystem in finite time. Then, another adaptive fast nonsingular terminal sliding mode control law of the linear velocity is designed to guarantee the stability of the third-order subsystem. Finally, a simulation example is provided to demonstrate the validity of the proposed control scheme.

[1]  Fumitoshi Matsuno,et al.  Tracking control of nonholonomic mobile robots with velocity and acceleration constraints , 2014, 2014 American Control Conference.

[2]  S. Bhat,et al.  Continuous finite-time stabilization of the translational and rotational double integrators , 1998, IEEE Trans. Autom. Control..

[3]  Dongkyoung Chwa,et al.  Sliding-mode tracking control of nonholonomic wheeled mobile robots in polar coordinates , 2004, IEEE Transactions on Control Systems Technology.

[4]  Junyong Zhai.  Global finite-time output feedback stabilisation for a class of uncertain nontriangular nonlinear systems , 2014, Int. J. Syst. Sci..

[5]  Yangming Zhang,et al.  Finite-time cascaded tracking control approach for mobile robots , 2014, Inf. Sci..

[6]  Sun Haibin,et al.  Finite time tracking control of a nonholonomic mobile robot with external disturbances , 2012, Proceedings of the 31st Chinese Control Conference.

[7]  Jason Jianjun Gu,et al.  Global Finite-Time Observers for Lipschitz Nonlinear Systems , 2011, IEEE Transactions on Automatic Control.

[8]  Ying Wang,et al.  Learning from adaptive neural network output feedback control of a unicycle-type mobile robot. , 2016, ISA transactions.

[9]  P. Olver.  Nonlinear Systems , 2013 .

[10]  Zhihong Man,et al.  Robust Finite-Time Consensus Tracking Algorithm for Multirobot Systems , 2009, IEEE/ASME Transactions on Mechatronics.

[11]  Sašo Blaič.  A novel trajectory-tracking control law for wheeled mobile robots , 2011 .

[12]  Alireza Mohammad Shahri,et al.  Adaptive feedback linearizing control of nonholonomic wheeled mobile robots in presence of parametric and nonparametric uncertainties , 2011 .

[13]  Suiyang Khoo,et al.  Robust finite-time tracking control of nonholonomic mobile robots without velocity measurements , 2016, Int. J. Control.

[14]  Hee-Jun Kang,et al.  Neural network-based adaptive tracking control of mobile robots in the presence of wheel slip and external disturbance force , 2016, Neurocomputing.

[15]  Jin Bae Park,et al.  Adaptive Neural Sliding Mode Control of Nonholonomic Wheeled Mobile Robots With Model Uncertainty , 2009, IEEE Transactions on Control Systems Technology.

[16]  Saso Blazic,et al.  A novel trajectory-tracking control law for wheeled mobile robots , 2011, Robotics Auton. Syst..

[17]  Karl Worthmann,et al.  Regulation of Differential Drive Robots using Continuous Time MPC without Stabilizing Constraints or Costs , 2015 .

[18]  Yuan Li,et al.  Robust adaptive tracking control of wheeled mobile robot , 2016, Robotics Auton. Syst..

[19]  Zhong-Ping Jiang,et al.  Adaptive output feedback tracking control of a nonholonomic mobile robot , 2014, Autom..

[20]  Jie Huang,et al.  On an output feedback finite-time stabilization problem , 2001, IEEE Trans. Autom. Control..

[21]  Zhong-Ping Jiang,et al.  Saturated stabilization and tracking of a nonholonomic mobile robot , 2001 .

[22]  Junyong Zhai,et al.  Disturbance observer-based robust control for trajectory tracking of wheeled mobile robots , 2016, Neurocomputing.

[23]  Saleh Mobayen,et al.  Finite-time tracking control of nth-order chained-form non-holonomic systems in the presence of disturbances. , 2016, ISA transactions.

[24]  XiaYuanqing,et al.  Adaptive attitude tracking control for rigid spacecraft with finite-time convergence , 2013 .

[25]  Wei Lin,et al.  Global finite-time stabilization of a class of uncertain nonlinear systems , 2005, Autom..

[26]  Zhong-Ping Jiang,et al.  Adaptive stabilization and tracking control of a nonholonomic mobile robot with input saturation and disturbance , 2013, Syst. Control. Lett..

[27]  Yuanqing Xia,et al.  Adaptive attitude tracking control for rigid spacecraft with finite-time convergence , 2013, Autom..