Sliding-mode and proportional-derivative-type motion control with radial basis function neural network based estimators for wheeled vehicles

An obstacle avoidance problem of rear-steered wheeled vehicles in consideration of the presence of uncertainties is addressed. Modelling errors and additional uncertainties are taken into consideration. Controller designs for driving and steering motors are designed. A proportional-derivative-type driving motor controller and a sliding-mode steering controller combined with radial basis function neural network (RBFNN) based estimators are proposed. The convergence properties of the RBFNN-based estimators are proven by the Stone–Weierstrass theorem. The stability of the proposed control law is proven using Lyapunov stability analysis. The obstacle avoidance strategy utilising the sliding surface adjustment to an existing navigation method is presented. It is concluded that the driving velocity and steering-angle performances of the proposed control system are satisfactory.

[1]  Keum-Shik Hong,et al.  A path following control of an unmanned autonomous forklift , 2009 .

[2]  Peng Shi,et al.  Adaptive Tracking for Stochastic Nonlinear Systems With Markovian Switching $ $ , 2010, IEEE Transactions on Automatic Control.

[3]  Chiu-Hsiung Chen,et al.  Intelligent transportation control system design using wavelet neural network and PID-type learning algorithms , 2011, Expert Syst. Appl..

[4]  Ilya V. Kolmanovsky,et al.  A Conjugate Gradient-Based BPTT-Like Optimal Control Algorithm With Vehicle Dynamics Control Application , 2009, IEEE Transactions on Control Systems Technology.

[5]  Harris Wu,et al.  Robust sliding mode control for uncertain linear discrete systems independent of time-delay , 2011 .

[6]  Frank L. Lewis,et al.  Control of a nonholonomic mobile robot using neural networks , 1995, Proceedings of Tenth International Symposium on Intelligent Control.

[7]  Kurt Hornik,et al.  Multilayer feedforward networks are universal approximators , 1989, Neural Networks.

[8]  Kurt Hornik,et al.  Approximation capabilities of multilayer feedforward networks , 1991, Neural Networks.

[9]  Wu-Chung Su,et al.  Robust tracking control of a unicycle-type wheeled mobile manipulator using a hybrid sliding mode fuzzy neural network , 2012, Int. J. Syst. Sci..

[10]  Richard M. Murray,et al.  A motion planner for nonholonomic mobile robots , 1994, IEEE Trans. Robotics Autom..

[11]  Dong Xu,et al.  Trajectory Tracking Control of Omnidirectional Wheeled Mobile Manipulators: Robust Neural Network-Based Sliding Mode Approach , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[12]  James J. Carroll,et al.  Approximation of nonlinear systems with radial basis function neural networks , 2001, IEEE Trans. Neural Networks.

[13]  George W. Irwin,et al.  Locally regularised two-stage learning algorithm for RBF network centre selection , 2012, Int. J. Syst. Sci..

[14]  Frank L. Lewis,et al.  Control of a nonholonomic mobile robot using neural networks , 1998, IEEE Trans. Neural Networks.

[15]  Loulin Huang,et al.  Velocity planning for a mobile robot to track a moving target - a potential field approach , 2009, Robotics Auton. Syst..

[16]  K. Hong,et al.  Switching algorithm for robust configuration control of a wheeled vehicle , 2012 .

[17]  Keum-Shik Hong,et al.  Predictive navigation of an autonomous vehicle with nonholonomic and minimum turning radius constraints , 2009 .

[18]  Keum Shik Hong,et al.  Mobile Robot Control Architecture for Reflexive Avoidance of Moving Obstacles , 2008, Adv. Robotics.

[19]  Louis de Branges The Stone-Weierstrass theorem , 1959 .

[20]  Neil E. Cotter,et al.  The Stone-Weierstrass theorem and its application to neural networks , 1990, IEEE Trans. Neural Networks.

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

[22]  Hajime Asama,et al.  Inevitable collision states — a step towards safer robots? , 2004, Adv. Robotics.

[23]  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.

[24]  Huijun Gao,et al.  State Estimation and Sliding-Mode Control of Markovian Jump Singular Systems , 2010, IEEE Transactions on Automatic Control.

[25]  Keum-Shik Hong,et al.  Robust stabilization of a wheeled vehicle: Hybrid feedback control design and experimental validation , 2010 .

[26]  Mingjun Zhang,et al.  Adaptive sliding mode control based on local recurrent neural networks for underwater robot , 2012 .

[27]  Tzuu-Hseng S. Li,et al.  Autonomous fuzzy parking control of a car-like mobile robot , 2003, IEEE Trans. Syst. Man Cybern. Part A.

[28]  Yeong-Hwa Chang,et al.  Fuzzy Sliding-Mode Formation Control for Multirobot Systems: Design and Implementation , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[29]  Qintao Gan,et al.  Synchronization of Non-Identical Unknown Chaotic Delayed Neural Networks Based on Adaptive Sliding Mode Control , 2012, Neural Processing Letters.

[30]  Qing Zhu,et al.  Adaptive neural control of non-affine pure-feedback non-linear systems with input nonlinearity and perturbed uncertainties , 2012, Int. J. Syst. Sci..

[31]  Jessica Lowell Neural Network , 2001 .

[32]  Simon G. Fabri,et al.  Dual Adaptive Dynamic Control of Mobile Robots Using Neural Networks , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[33]  Ligang Wu,et al.  Sliding mode control with bounded L2 gain performance of Markovian jump singular time-delay systems , 2012, Autom..

[34]  Max Q.-H. Meng,et al.  A Bioinspired Neurodynamics-Based Approach to Tracking Control of Mobile Robots , 2012, IEEE Transactions on Industrial Electronics.

[35]  Q. H. Ngo,et al.  Sliding-Mode Antisway Control of an Offshore Container Crane , 2012, IEEE/ASME Transactions on Mechatronics.

[36]  Keum Shik Hong,et al.  Navigation Function-Based Control of Multiple Wheeled Vehicles , 2011, IEEE Transactions on Industrial Electronics.

[37]  Tsung-Chih Lin,et al.  ROBUST ADAPTIVE FUZZY SLIDING MODE CONTROL FOR A CLASS OF UNCERTAIN DISCRETE-TIME NONLINEAR SYSTEMS , 2012 .

[38]  Tao Zou,et al.  A finite-time approach to formation control of multiple mobile robots with terminal sliding mode , 2012, Int. J. Syst. Sci..

[39]  Keum-Shik Hong,et al.  Adaptive sliding mode control of container cranes , 2012 .

[40]  Yuanqing Xia,et al.  On designing of sliding-mode control for stochastic jump systems , 2006, IEEE Transactions on Automatic Control.

[41]  Debasish Ghose,et al.  Generalization of the collision cone approach for motion safety in 3-D environments , 2012, Auton. Robots.

[42]  Ching-Chih Tsai,et al.  Adaptive H∞ nonlinear velocity tracking using RBFNN for linear DC brushless motor , 2012, Int. J. Syst. Sci..

[43]  Jin Zhang,et al.  Neural-network control of nonaffine nonlinear system with zero dynamics by state and output feedback , 2003, IEEE Trans. Neural Networks.

[44]  Charles J. Fallaha,et al.  Sliding-Mode Robot Control With Exponential Reaching Law , 2011, IEEE Transactions on Industrial Electronics.