Mobile Robot Motion Control Using Laguerre-Based Model Predictive Control

Author:

Chipofya Mapopa1,Lee Deok Jin2,Chong Kil To1

Affiliation:

1. Chonbuk National University

2. Kunsan National University

Abstract

This paper presents a method of solving the problem of mobile robot motion control using a model predictive controller designed using Laguerre functions. A linear model of the two-wheeled nonholonomic robot is used. This linear model is obtained by converting the nonlinear model in the Cartesian system to a polar one. This change is preferred because it is easier to work with the linear model than its corresponding nonlinear one. Simulation results obtained from MATLAB showing that Laguerre-based MPC (LMPC) performs well are presented.

Publisher

Trans Tech Publications, Ltd.

Reference10 articles.

1. L. Wang, Model predictive control design and implementation using MATLAB, first ed., Springer (2009).

2. L. Wang , Discrete time model predictive control design using Laguerre functions, Proceedings of the American Control Conference, Arlington, VA (2001).

3. J.A. Rossiter, L. Wang, Exploiting Laguerre functions to improve the feasibility/performance compromise in MPC, 47th IEEE Conference on  Decision and Control (2008) 4737-4742.

4. F. Kuhne, W. F Lages, J.M. Gomes da Silva Jr, Model predictive control of a mobile robot using linearization, APS/ECM ISBN: 3-938153-30-X.

5. F. Kuhne, W. F Lages, J.M. Gomes da Silva Jr, Mobile robot trajectory tracking using model predictive control, VII/SBAI/II IEEE LARS, Sao Luis, (2005).

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