Design of a robust neural network-based tracking controller for a class of electrically driven nonholonomic mechanical systems

This paper addresses the problem of designing robust tracking controls for a class of uncertain nonholonomic systems actuated by brushed direct current (DC) motors. This class of electrically driven nonholonomic mechanical systems can be perturbed by plant uncertainties, unmodeled time-varying perturbations, and external disturbances. An adaptive neural network-based dynamic feedback tracking controller will be developed such that all the states and signals of the closed-loop system are bounded and the trajectory tracking error is as small as possible. Consequently, for practical applications, the intelligent robust tracking control scheme developed here can be employed to handle a broader class of electrically driven nonholonomic systems in the presence of high-degree time-varying uncertainties. Finally, simulation examples are presented to demonstrate the effectiveness of the proposed control algorithms.

[1]  Bing Chen,et al.  Direct adaptive fuzzy control for nonlinear systems with time-varying delays , 2010, Inf. Sci..

[2]  Xinzhi Liu,et al.  Global convergence of neural networks with mixed time-varying delays and discontinuous neuron activations , 2012, Inf. Sci..

[3]  A. Bloch,et al.  Control and stabilization of nonholonomic dynamic systems , 1992 .

[4]  J. P. Hwang,et al.  Robust tracking control of an electrically driven robot: adaptive fuzzy logic approach , 2006, IEEE Transactions on Fuzzy Systems.

[5]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation , 1998 .

[6]  Shuzhi Sam Ge,et al.  Adaptive Robust Output-Feedback Motion/Force Control of Electrically Driven Nonholonomic Mobile Manipulators , 2007, IEEE Transactions on Control Systems Technology.

[7]  Shaocheng Tong,et al.  Direct adaptive fuzzy backstepping robust control for single input and single output uncertain nonlinear systems using small-gain approach , 2010, Inf. Sci..

[8]  Robert M. Sanner,et al.  Gaussian Networks for Direct Adaptive Control , 1991, 1991 American Control Conference.

[9]  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).

[10]  Peng Shi,et al.  Exponential Stability on Stochastic Neural Networks With Discrete Interval and Distributed Delays , 2010, IEEE Transactions on Neural Networks.

[11]  Tzuu-Hseng S. Li,et al.  EP-based kinematic control and adaptive fuzzy sliding-mode dynamic control for wheeled mobile robots , 2009, Inf. Sci..

[12]  Long Cheng,et al.  Adaptive Control of an Electrically Driven Nonholonomic Mobile Robot via Backstepping and Fuzzy Approach , 2009, IEEE Transactions on Control Systems Technology.

[13]  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).

[14]  P. Olver Nonlinear Systems , 2013 .

[15]  Bor-Sen Chen,et al.  Adaptive tracking control for nonholonomic Caplygin systems , 2002, IEEE Trans. Control. Syst. Technol..

[16]  A. Isidori,et al.  Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems , 1991 .

[17]  J. Farrell,et al.  Adaptive Approximation Based Control: Unifying Neural, Fuzzy and Traditional Adaptive Approximation Approaches (Adaptive and Learning Systems for Signal Processing, Communications and Control Series) , 2006 .

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

[19]  Yan Gao,et al.  Adaptive neural network state predictor and tracking control for nonlinear time-delay systems , 2010 .

[20]  Shaocheng Tong,et al.  Fuzzy adaptive robust backstepping stabilization for SISO nonlinear systems with unknown virtual control direction , 2010, Inf. Sci..

[21]  Masahiro Oya,et al.  Adaptive motion tracking control of uncertain nonholonomic mechanical systems including actuator dynamics , 2005 .

[22]  Shaocheng Tong,et al.  Fuzzy adaptive high-gain-based observer backstepping control for SISO nonlinear systems with dynamical uncertainties , 2011, Nonlinear Dynamics.

[23]  Andrew A. Goldenberg,et al.  Neural network control of mobile manipulators , 2000, Proceedings. 2000 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2000) (Cat. No.00CH37113).

[24]  G. Campion,et al.  Controllability and State Feedback Stabilizability of Nonholonomic Mechanical Systems , 1991 .

[25]  M. Mahmoud,et al.  Global exponential stability criteria for neural networks with probabilistic delays , 2010 .

[26]  Plamen P. Angelov,et al.  Uniformly Stable Backpropagation Algorithm to Train a Feedforward Neural Network , 2011, IEEE Transactions on Neural Networks.

[27]  Huijun Gao,et al.  Novel Robust Stability Criteria for Stochastic Hopfield Neural Networks With Time Delays , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[28]  Brian J. Driessen Adaptive global tracking for robots with unknown link and actuator dynamics , 2006 .

[29]  Anthony M. Bloch Stabilizability of nonholonomic control systems , 1992, Autom..

[30]  Mitsuji Sampei,et al.  Arbitrary path tracking control of articulated vehicles using nonlinear control theory , 1995, IEEE Trans. Control. Syst. Technol..

[31]  Wen Yu,et al.  Stability Analysis of Nonlinear System Identification via Delayed Neural Networks , 2007, IEEE Transactions on Circuits and Systems II: Express Briefs.

[32]  J. De Jesús Rubio,et al.  A new discrete-time sliding-mode control with time-varying gain and neural identification , 2006 .

[33]  Frank L. Lewis,et al.  Robust neural network control of rigid-link electrically-driven robots , 1995, Proceedings of Tenth International Symposium on Intelligent Control.

[34]  Norihiko Adachi,et al.  Adaptive tracking control of a nonholonomic mobile robot , 2000, IEEE Trans. Robotics Autom..

[35]  Indra Narayan Kar,et al.  Design and implementation of an adaptive fuzzy logic-based controller for wheeled mobile robots , 2006, IEEE Transactions on Control Systems Technology.

[36]  Choon Ki Ahn,et al.  Passive learning and input-to-state stability of switched Hopfield neural networks with time-delay , 2010, Inf. Sci..

[37]  Yeong-Chan Chang,et al.  An intelligent robust tracking control for electrically-driven robot systems , 2008, Int. J. Syst. Sci..

[38]  Masahiro Oya,et al.  State observer-based robust control scheme for electrically driven robot manipulators , 2004, IEEE Transactions on Robotics.

[39]  Tae-Yong Kuc,et al.  Intelligent control of DC motor driven mechanical systems: a robust learning control approach , 2003 .

[40]  Fei Liu,et al.  Robust adaptive control for greenhouse climate using neural networks , 2011 .

[41]  Huijun Gao,et al.  New Passivity Analysis for Neural Networks With Discrete and Distributed Delays , 2010, IEEE Transactions on Neural Networks.

[42]  Weiliang Xu,et al.  Tracking control of uncertain dynamic nonholonomic system and its application to wheeled mobile robots , 2000, IEEE Trans. Robotics Autom..

[43]  Frank L. Lewis,et al.  Adaptive Approximation Based Control-Unifying Neural, Fuzzy and Traditional Adaptive Approximation Approaches-[Book review; J. A. Farrell and M. M. Polycarpou] , 2007 .

[44]  Shuzhi Sam Ge,et al.  Adaptive Robust Motion/Force Control of Holonomic-Constrained Nonholonomic Mobile Manipulators , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[45]  Lihong Huang,et al.  NEURAL NETWORK ROBUST CONTROL FOR A NONHOLONOMIC MOBILE ROBOT INCLUDING ACTUATOR DYNAMICS , 2010 .

[46]  Wenjie Dong,et al.  On trajectory and force tracking control of constrained mobile manipulators with parameter uncertainty , 2002, Autom..

[47]  Bor-Sen Chen,et al.  Intelligent Robust Tracking Controls for Holonomic and Nonholonomic Mechanical Systems Using Only Position Measurements , 2005, IEEE Trans. Fuzzy Syst..

[48]  Leandro dos Santos Coelho,et al.  Computational intelligence approach to PID controller design using the universal model , 2010, Inf. Sci..

[49]  Petros A. Ioannou,et al.  Robust Adaptive Control , 2012 .

[50]  R. Mei,et al.  NEURAL NETWORK ROBUST ADAPTIVE CONTROL FOR A CLASS OF TIME DELAY UNCERTAIN NONLINEAR SYSTEMS , 2010 .

[51]  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.