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http://dx.doi.org/10.5391/IJFIS.2011.11.1.049

Path Following Control of Mobile Robot Using Lyapunov Techniques and PID Cntroller  

Jin, Tae-Seok (Dept. of Mechatronics Engineering, Dongseo University)
Tack, Han-Ho (Dept. of Electronics Engineering, Jinju National University)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.11, no.1, 2011 , pp. 49-53 More about this Journal
Abstract
Path following of the mobile robot is one research hot for the mobile robot navigation. For the control system of the wheeled mobile robot(WMR) being in nonhonolomic system and the complex relations among the control parameters, it is difficult to solve the problem based on traditional mathematics model. In this paper, we presents a simple and effective way of implementing an adaptive following controller based on the PID for mobile robot path following. The method uses a non-linear model of mobile robot kinematics and thus allows an accurate prediction of the future trajectories. The proposed controller has a parallel structure that consists of PID controller with a fixed gain. The control law is constructed on the basis of Lyapunov stability theory. Computer simulation for a differentially driven nonholonomic mobile robot is carried out in the velocity and orientation tracking control of the nonholonomic WMR. The simulation results of wheel type mobile robot platform are given to show the effectiveness of the proposed algorithm.
Keywords
Path following; wheeled mobile robot; Lyapunov; Nonholonomic; Kinematics;
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1 Z. P. Jiang, “Robust exponential regulation of nonholonomic systems with uncertainties,” Automatica, vol. 36, pp. 189-209, 2000.   DOI   ScienceOn
2 S. S. Ge, Z. P. Wang, and T. H. Lee, “Adaptive stabilization of uncertain nonholonomic systems by state and output feedback,” Automatica, vol. 39, pp. 1451-1460, 2003.   DOI   ScienceOn
3 Slotine JJ, Li W. Applied nonlinear control. Englewood Cliffs, NJ: Prentice-Hall; 1991.
4 F. Pourboghrat, M.P. Karlsson, Adaptive control of dynamic mobile robots with nonholonomic constraints, Comput.Electr.Eng. 28, pp. 241–253, 2000.
5 T.D.C. Thanh, K.K. Ahn, “Nonlinear PID control to improve the control performance of 2 axes pneumatic artificial muscle manipulator using neural network,” Mechatronics, vol.16, pp. 577–587, 2006.   DOI   ScienceOn
6 Fierro R, Lewis FL, “Control of a nonholonomic mobile robot:backstepping kinematics into dynamics,” In Proceedings of the IEEE Conference on Decision and Control (CDC'95), 1995, pp 3805–3810.
7 L. X. Wang, Adaptive fuzzy systems and control – design and stability analysis, Prentice hall, 1994.
8 I. Kolmanovsky and N. McClamroch, “Development in nonholonomic control problem,” IEEE Control System Magazine, vol.15, pp.20-36, 1995.   DOI   ScienceOn
9 W. E. Dixon, D. M. Dawson, E. Zergeroglu and A. Behal, Nonlinear Control of Wheeled Mobile Robots. Springer, 2001.
10 C. Samson, “Time-varying feedback stabilization of a nonholonomic wheeled mobile robot,” International Journal of Robotics Research, vol. 12, pp. 55-66, 1993.   DOI
11 PEI Xinzhe, “Research on trajectory tracking and stabilization of nonholonomic mobile robots,” Phd. dissertation, Dept. control theory and control engineering, Harbin Institute of Technology, Harbin, China, 2003.
12 A. Astolfi, “Discontinuous control of nonholonomic systems,” System and Control Letters, vol. 27, pp. 37-45, 1996.   DOI   ScienceOn