PDC Control Design for Non-holonomic Wheeled Mobile Robots with Delayed Outputs

Authors:
El-Hadi Guechi;Jimmy Lauber;Michel Dambrine;Gregor Klančar;Saso Blažič
Affiliations:
LAMIH FRE CNRS 8530, Université de Valenciennes et du Hainaut-Cambrésis, Valenciennes Cedex 9, France 59313;LAMIH FRE CNRS 8530, Université de Valenciennes et du Hainaut-Cambrésis, Valenciennes Cedex 9, France 59313;LAMIH FRE CNRS 8530, Université de Valenciennes et du Hainaut-Cambrésis, Valenciennes Cedex 9, France 59313;Laboratory of Modeling, Simulation and Control, Faculty of Electrical Engineering, Ljubljana, Slovenia 1000;Laboratory of Modeling, Simulation and Control, Faculty of Electrical Engineering, Ljubljana, Slovenia 1000
Venue:
Journal of Intelligent and Robotic Systems
Year:
2010

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Abstract

This paper presents a new technique for tracking-error model-based Parallel Distributed Compensation (PDC) control for non-holonomic vehicles where the outputs (measurements) of the system are delayed and the delay is constant. Briefly, this technique consists of rewriting the kinematic error model of the mobile robot tracking problem into a TS fuzzy representation and finding a stabilizing controller by solving LMI conditions for the tracking-error model. The state variables are estimated by nonlinear predictor observer where the outputs are delayed by a constant delay. To illustrate the efficiency of the proposed approach a comparison between the TS fuzzy observer and the nonlinear predictor observer is shown. For this study the reference trajectory is built by taking into account the acceleration limits of the mobile robot. All experiments are implemented on simulation and the real-time platform.