Optimal Parameter Tuning in a Predictive Nonlinear Control Method for a Mobile Robot

This study contributes to a new optimal parameter tuning in a predictive nonlinear control method for stable trajectory straight line tracking with a non-holonomic mobile robot. In this method, the focus lies in finding the optimal parameter estimation and to predict the path that the mobile robot will follow for stable trajectory straight line tracking system. The stability control contains three parameters: 1) deflection parameter for the traveling direction of the mobile robot (Kx) 2) deflection parameter for the distance across traveling direction of the mobile robot (Ky) and 3) deflection parameter for the steering angle of the mobile robot (Kθ). Two hundred and seventy three experimental were performed and the results have been analyzed and described herewith. It is found that by using a new optimal parameter tuning in a predictive nonlinear control method derived from the extension of kinematics model, the movement of the mobile robot is stabilized and adhered to the reference posture.

[1]  O. Egeland,et al.  A Lyapunov approach to exponential stabilization of nonholonomic systems in power form , 1997, IEEE Trans. Autom. Control..

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

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

[4]  Joao P. Hespanha,et al.  Logic-based switching control for trajectory-tracking and path-following of underactuated autonomous vehicles with parametric modeling uncertainty , 2004, Proceedings of the 2004 American Control Conference.

[5]  Mark D. Schluchter.  Mean Square Error , 2005 .

[6]  Claude Samson,et al.  Feedback control of a nonholonomic wheeled cart in Cartesian space , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[7]  Antonio M. Pascoal,et al.  Adaptive, non-singular path-following control of dynamic wheeled robots , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[8]  Fumio Miyazaki,et al.  A stable tracking control method for a non-holonomic mobile robot , 1991, Proceedings IROS '91:IEEE/RSJ International Workshop on Intelligent Robots and Systems '91.

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