Abstract
The article addresses a robust control strategy for efficient path tracking of nonholonomic wheeled mobile robot (WMR) based on time delay approach. Depending on the application requirements, nonholonomic WMR system might be subjected to various payloads, which affects the overall system mass, inertia, position of center of mass and other hardware parameters statically or dynamically. Under such circumstances, accurate modeling of nonholonomic robots is difficult and challenging. The proposed controller negotiates uncertainties caused due to payload variations as well as associated disturbances and reduces modeling effort through approximation of the overall uncertainties with a composite function. It has been shown that the controller does not require any bounds on the uncertainties, thus providing unconstrained working paradigm. The controller is proposed for a nonholonomic WMR and its effectiveness is verified through simulation and experimentally while WMR is commanded to track various paths. The superior performance is also noted against adaptive sliding mode control law.
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References
C. C. de Wit and H. Khennouf, “Quasi continuous stabilizing controllers for nonholonomic systems: Design and robustness consideration,” Proc. of European Control Conf., Rome, Italy, pp. 2207–2212, 1995.
J. Guldner and V. I. Utkin, “Stabilization of nonholonomic mobile robots using Lyapunov functions for navigation and sliding mode control,” Proc. of the IEEE Conf. Decision and Control, Lake Buena Vista, FL, pp. 2967–2972, December 1994.
Z. P. Jiang and J.-B. Pomet, “Combining backstepping and time-varying techniques for a new set of adaptive controllers,” Proc. of the IEEE Conf. Decision and Control, Lake Buena Vista, FL, pp. 2207–2212, December 1994.
T. Hamel and D. Meizel, “Robust control laws for wheeled mobile robots,” International Journal of System Science, vol. 27, no. 8, pp. 695–704, 1996.
L. E. Aguilar, T. Hamel, and P. Soueres, “Robust path following control for wheeled robots via sliding mode techniques,” Proc. of the IEEE/RSJ Conf. Intelligent Robots and Systems, vol. 3, pp. 1389–1395, September 1997.
D. Chawa, “Sliding mode tracking control of wheeled mobile robots in polar coordinates,” IEEE Trans. on Control System Technology, vol. 12, no. 4, pp. 637–644, July 2004.
R. Fierro and F. L. Lewis, “Robust practical point stabilization of a nonholonomic mobile robot using neural networks,” Journal of Intelligent and Robotic Systems, vol. 20, no. 2-4, pp. 295–317, 1997.
J.-M. Yang and J.-H. Kim, “Sliding mode control for trajectory tracking of nonholonomic wheeled mobile robots,” IEEE Trans. on Robotics and Automation, vol. 15, no. 3, pp. 578–587, June 1999.
M. L. Corradini and G. Orlando, “Control of mobile robots with uncertainties in the dynamical model: a discrete time sliding mode approach with experimental results,” Control Engineering Practice, vol. 10, no. 1, pp. 23–34, 2002.
J. H. Lee, C. Lin, H. Lim, and J. M. Lee, “Sliding mode control for trajectory tracking of mobile robot in the RFID sensor space,” International Journal of Control, Automation, and Systems, vol. 7, no. 3, pp. 429–435, 2009.
N. Hung, N. S. Im, S.-K. Jeong, H.-K. Kim, and S. B. Kim, “Design of a sliding mode controller for an automatic guided vehicle and its implementation,” International Journal of Control, Automation, and Systems, vol. 8, no. 1, pp. 81–90, 2010.
C. Chen, T. S. Li, Y. Yeh, and C. Chang, “Design and implementation of an adaptive sliding-mode dynamic controller for wheeled mobile robots,” Mechatronics, vol. 19, no. 2, pp. 156–166, 2009.
G. Oriolo, A. De Luca, and M. Vendittelli, “WMR control via dynamic feedback linearization: design, implementation, and experimental validation,” IEEE Trans. On Control System Technology, vol. 10, no. 6, pp. 835–852, 2002.
S. Sun, “Designing approach on trajectory-tracking control of mobile robot,” Robotics and Computer-Integrated Manufacturing, vol. 21, pp. 81–85, 2005.
S. Nandy, G. Chakraborty, C. S. Kumar, and S. N. Shome, “A modular approach to detail dynamic formulation and control of wheeled mobile robot,” Proc. of the IEEE Conf. on Mechatronics and Automation, pp. 1471–1478, 2011.
K. Shojaei, A. M. Shahari, and B. Tabibian, “Design and implementation of an inverse dynamics controller for uncertain nonholonomic robotic systems,” Journal of Intelligent and Robotic Systems, vol. 71, pp. 65–83, 2013.
F. Lizarralde, E. Nunes, L. Hsu, and J. Wen, “Mobile robot navigation using sensor fusion,” Proc. of the IEEE Conf. on Robotics and Automation, pp. 458–463, 2003.
P. Coelho and U. Nunes, “Path-following control of mobile robots in presence of uncertainties,” IEEE Trans. on Robotics and Automation, vol. 21, no. 2, pp. 252–261, April 2005.
T. C. Hsia and L. S. Gao, “Robot manipulator control using decentralized linear time-invariant timedelayed joint controllers,” Proc. of the IEEE Conf. on Robotics and Automation, pp. 2070–2075, 1990.
S. Roy, S. N. Shome, S. Nandy, R. Ray, and V. Kumar, “Trajectory following control of AUV: a robust approach,” Journal of The Institution of Engineers (India): Series C, vol. 94, no. 3, pp. 253–265, 2013.
S. Roy, S. Nandy, R. Ray, and S. N. Shome, “Time delay sliding mode control of nonholonomic wheeled mobile robot: experimental validation,” Proc. of the IEEE Conf. on Robotics and Automation, pp. 2886–2892, 2014.
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Recommended by Associate Editor Yingmin Jia under the direction of Editor Hyouk Ryeol Choi.
Spandan Roy received his MTech. degree in Mechatronics from Academy of Scientific and Innovative Research (Ac-SIR) in 2013. He worked as Scientist Trainee from 2011 to 2014 at CSIRCentral Mechanical Engineering Research Institute (CMERI). His research interests include nonlinear control, robust control, and robotics.
Sambhunath Nandy received B.E. (1994) and M.E. (1996) degree in mechanical engineering from University of Calcutta & B.E.College (Deemed University) respectively, and obtained PhD (2014) from Indian Institute of Technology (IIT), Kharagpur in the area of robust control. He is working in the field of Robotics at CSIR-CMERI, Durgapur, India as a Principal Scientist. His research interests are mainly on navigation, guidance & robust control of nonholonomic dynamic systems and underwater vehicles.
Ranjit Ray obtained his PhD in Applied Mechanics & Aerospace Engineering from Bengal Engineering and Science University (BESU, now IIEST), Shibpur, India in 2010. He is working with Robotics & Automation Group of CSIRCMERI, Durgapur, India as Senior Scientist. He is also a faculty of AcSIR, CSIR, India. His research interests include Mobile robot path planning, navigation, localization and machine vision.
Sankar Nath Shome received his B.S. in Mechanical Engineering from Bengal Engineering College (Now IIEST), Shibpur, India, an MTech degree from IIT, Kanpur, India, and a Ph.D. degree in Mechanical Engineering from National Institute of Technology, Durgapur, India. He is working as a chief scientist at CSIR-CMERI, Durgapur, India. His areas of interest include robotics, mechanisms and autonomous underwater vehicle technologies. Presently, he is involved in the design and development of hybrid modular AUV with cooperative modules.
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Roy, S., Nandy, S., Ray, R. et al. Robust path tracking control of nonholonomic wheeled mobile robot: Experimental validation. Int. J. Control Autom. Syst. 13, 897–905 (2015). https://doi.org/10.1007/s12555-014-0178-1
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DOI: https://doi.org/10.1007/s12555-014-0178-1