A sliding-mode-like design for model-free tracking of nonholonomic mobile robots

This paper considers the problem of designing a high-gain sliding-mode-like feedback control law for the model-free tracking of nonholonomic mobile robots. The control approach developed in this work does not need any a-priori knowledge about the model of the robots. A model-free, self-support control algorithm is proposed such that the tracking error can be driven into a pre-specified neighborhood of zero just by using incomplete informations of the moving objects to be tracked. Global stability of the corresponding closed-loop system of tracking error is proved by the Lyapunov stability theory. Finally, the simulation results demonstrate the effectiveness of the proposed controller design method.

[1]  R. W. Brockett,et al.  Asymptotic stability and feedback stabilization , 1982 .

[2]  Richard M. Murray,et al.  Nonholonomic control systems: from steering to stabilization with sinusoids , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[3]  A. Astolfi Discontinuous control of nonholonomic systems , 1996 .

[4]  Mohammad Bagher Menhaj,et al.  From Nonlinear to Fuzzy Approaches in Trajectory Tracking Control of Wheeled Mobile Robots , 2012 .

[5]  A. Bicchi,et al.  Optimal feedback control for route tracking with a bounded-curvature vehicle , 2001 .

[6]  Yuanyuan Wu,et al.  Robust stabilization of delayed nonholonomic systems with strong nonlinear drifts , 2010 .

[7]  Chao-Li Wang,et al.  Robust Stabilization of Nonholonomic Chained Form Systems with Uncertainties , 2011 .

[8]  O. J. Sørdalen,et al.  Exponential stabilization of nonholonomic chained systems , 1995, IEEE Trans. Autom. Control..

[9]  S. Sastry,et al.  Nonholonomic motion planning: steering using sinusoids , 1993, IEEE Trans. Autom. Control..

[10]  Sergey V. Drakunov,et al.  Stabilization of a nonholonomic system via sliding modes , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[11]  Zhihua Qu,et al.  Global-Stabilizing Near-Optimal Control Design for Nonholonomic Chained Systems , 2006, IEEE Transactions on Automatic Control.

[12]  O. J. Sordalen,et al.  Exponential stabilization of mobile robots with nonholonomic constraints , 1992 .

[13]  Yeong-Chan Chang,et al.  An Intelligent Robust Tracking Control for a Class of Electrically Driven Mobile Robots , 2012 .

[14]  Anthony M. Bloch,et al.  Optimal control of underactuated nonholonomic mechanical systems , 2006, 2006 American Control Conference.

[15]  Zhao Wang,et al.  Finite‐time tracking control of a nonholonomic mobile robot , 2009 .

[16]  Yu-Ping Tian,et al.  Exponential stabilization of nonholonomic dynamic systems by smooth time-varying control , 2002, Autom..

[17]  Liu Yang,et al.  Semiglobal Stabilization for Nonholonomic Mobile Robots Based on Dynamic Feedback With Inputs Saturation , 2012 .

[18]  Shuzhi Sam Ge,et al.  Adaptive stabilization of uncertain nonholonomic systems by state and output feedback , 2003, Autom..