Simple adaptive dynamical control of vehicles driven by omnidirectional wheels

Precise control of Automatic Guided Vehicles (AGVs) navigating between the aisles of manufacturing systems by the use of local markers is an important task. On the basis of the geometric model of the workspace and the vehicles and that of the sensor uncertainties precise trajectories were recently generated along which the vehicle safely can move. In order to achieve precise trajectory tracking the effects of the system's dynamical uncertainties (modeling errors and possible external perturbations) have to be compensated. In the present paper a simple, fixed point transformations based adaptive control is proposed for this purpose. The proposed method is tested via simulation for a vehicle of triangular shape, driven by three omnidirectional wheels. The method is also able to monitor and evade the conditions that may lead to turning over the vehicle.

[1]  Imre J. Rudas,et al.  Fixed Point Transformations-Based Approach in Adaptive Control of Smooth Systems , 2007, RoMoCo.

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

[3]  Ulrich Reif.  Best bounds on the approximation of polynomials and splines by their control structure , 2000, Comput. Aided Geom. Des..

[4]  István Nagy,et al.  PATH PLANNING ALGORITHM, BASED ON USER-DEFINED MAXIMAL LOCALIZATION ERROR , 2006 .

[5]  Tomás Lozano-Pérez,et al.  Spatial Planning: A Configuration Space Approach , 1983, IEEE Transactions on Computers.

[6]  R. Precup,et al.  Use of Multi-parametric Quadratic Programming in Fuzzy Control Systems , 2006 .

[7]  Lőrinc Márton,et al.  Identification and Model-based Compensation of Striebeck Friction , 2006 .

[8]  J.A. Tenreiro Machado,et al.  Possible adaptive control by tangent hyperbolic fixed point transformations used for controlling the -6-type van der pol oscillator , 2008, 2008 IEEE International Conference on Computational Cybernetics.

[9]  J. Machado,et al.  On the robustness of the Slotine-Li and the FPT/SVD-based adaptive controllers , 2008 .

[10]  Stefan Preitl,et al.  Iterative Feedback Tuning in Fuzzy Control Systems. Theory and Applications , 2006 .

[11]  Guanzheng Tan,et al.  Real-Time Global Optimal Path Planning of Mobile Robots Based on Modified Ant System Algorithm , 2006, ICNC.

[12]  J. Vaš,et al.  Navigation of Mobile Robots Using Potential Fields and Computational Intelligence Means , 2007 .