Nonlinear Model Predictive Control for Path Following Problems

Abstract This paper presents a general nonlinear model predictive control (NMPC) scheme for path following problems. Sufficient conditions for recursive feasibility and asymptotic convergence of the given scheme are presented. Furthermore, a method of choosing a suitable terminal penalty and the corresponding terminal constraint is proposed. To illustrate the implementation of the NMPC scheme, the path following problem of a car-like mobile robot is discussed and the control performance is confirmed by simulation results.

[1]  André Scolari Conceição,et al.  TRAJECTORY TRACKING FOR OMNI-DIRECTIONAL MOBILE ROBOTS BASED ON RESTRICTIONS OF THE MOTOR'S VELOCITIES , 2006 .

[2]  Rolf Findeisen,et al.  Constrained Output Path-Following for Nonlinear Systems Using Predictive Control , 2010 .

[3]  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).

[4]  I. Kaminer,et al.  Coordinated Path Following Control of Multiple Wheeled Robots with Directed Communication Links , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[5]  A. Zell,et al.  Nonlinear Model Predictive Control of an Omnidirectional Mobile Robot , 2008 .

[6]  Roland Siegwart,et al.  A Control Method for Stable and Smooth Path Following of Mobile Robots , 2005 .

[7]  Rolf Findeisen,et al.  Model predictive path-following for constrained nonlinear systems , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[8]  Xiaoming Hu,et al.  Control of mobile platforms using a virtual vehicle approach , 2001, IEEE Trans. Autom. Control..

[9]  Giovanni Indiveri,et al.  Motion Control of Swedish Wheeled Mobile Robots in the Presence of Actuator Saturation , 2006, RoboCup.

[10]  Dongbing Gu,et al.  Receding horizon tracking control of wheeled mobile robots , 2006, IEEE Transactions on Control Systems Technology.