Design of a robust tracking controller for a nonholonomic mobile robot with side slipping based on Lyapunov Redesign and nonlinear H_∞ methods

References

• Binazadeh, T., & Shafiei, M. H. (2013). Extending satisficing control strategy to slowly varying nonlinear systems. Communications in Nonlinear Science and Numerical Simulation, 18(4), 1071–1078. doi: 10.1016/j.cnsns.2012.07.025
   Web of Science ®Google Scholar
• Binazadeh, T., & Shafiei, M. H. (2014a). Nonsingular terminal sliding-mode control of a tractor–trailer system. Systems Science & Control Engineering: An Open Access Journal, 2(1), 168–174. doi: 10.1080/21642583.2014.890552
   Google Scholar
• Binazadeh, T., & Shafiei, M. H. (2014b). A novel approach in the finite-time controller design. Systems Science & Control Engineering: An Open Access Journal, 2(1), 119–124. doi: 10.1080/21642583.2014.883946
   Google Scholar
• Chwa, D. (2004). Sliding-mode tracking control of nonholonomic wheeled mobile robots in polar coordinates. IEEE Transactions on Control Systems Technology, 12(4), 637–644. doi: 10.1109/TCST.2004.824953
   Web of Science ®Google Scholar
• Do, K. D. (2013). Bounded controllers for global path tracking control of unicycle-type mobile robots. Robotics and Autonomous Systems, 61(8), 775–784. doi: 10.1016/j.robot.2013.04.014
   Web of Science ®Google Scholar
• Du, H., Lam, J., Cheung, K.-C., Li, W., & Zhang, N. (2015). Side-slip angle estimation and stability control for a vehicle with a non-linear tyre model and a varying speed. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 229(4), 486–505.
   Web of Science ®Google Scholar
• Fierro, R., & Lewis, F. L. (1995). Control of a nonholonomic mobile robot: Backstepping kinematics into dynamics. IEEE Conference on Decision and Control, 4, 3805–3810.
   Google Scholar
• Hwang, E.-J., Kang, H.-S., Hyun, C.-H., & Park, M. (2013). Robust backstepping control based on a Lyapunov Redesign for Skid-Steered Wheeled Mobile Robots. International Journal of Advanced Robotic Systems, 10(1), 26. doi: 10.5772/55059
   Google Scholar
• JIANGdagger, Z.-P., & Nijmeijer, H. (1997). Tracking control of mobile robots: A case study in backstepping. Automatica, 33(7), 1393–1399. doi: 10.1016/S0005-1098(97)00055-1
   Web of Science ®Google Scholar
• Kanayama, Y., Kimura, Y., Miyazaki, F., & Noguchi, T. (1990). A stable tracking control method for an autonomous mobile robot. In IEEE International Conference on Robotics and Automation (pp. 384–389). Cincinnati, OH: IEEE.
   Google Scholar
• Khalil, H. (2002). Nonlinear Systems (3rd edition). Upper Saddle River: Prentice hall.
   Google Scholar
• Li, S., Ding, L., Gao, H., Chen, C., Liu, Z., & Deng, Z. (2018). Adaptive neural network tracking control-based reinforcement learning for wheeled mobile robots with skidding and slipping. Neurocomputing, 283, 20–30. doi: 10.1016/j.neucom.2017.12.051
   Web of Science ®Google Scholar
• Li, Y., Wang, Z., & Zhu, L. (2010). Adaptive neural network PID sliding mode dynamiccontrol of nonholonomic mobile robot. In Information and Automation (ICIA), 2010 IEEE International Conference on (pp. 753–757). Harbin, China: IEEE.
   Google Scholar
• Miyasato, Y. (2008). Adaptive H∞ control of nonholonomic mobile robot based on inverse optimality. In American Control Conference (pp. 3524–3529). Seattle, Washington: IEEE.
   Google Scholar
• Pourboghrat, F., & Karlsson, M. P. (2002). Adaptive control of dynamic mobile robots with nonholonomic constraints. Computers & Electrical Engineering, 28(4), 241–253. doi: 10.1016/S0045-7906(00)00053-7
   Web of Science ®Google Scholar
• Slotine, J. J., & Li, W. (1991). Applied nonlinear control. vol. 199, no. 1. Englewood Cliffs, NJ: Prentice-Hall.
   Google Scholar
• Taheri-Kalani, J., & Khosrowjerdi, M. J. (2014). Adaptive trajectory tracking control of wheeled mobile robots with disturbance observer. International Journal of Adaptive Control and Signal Processing, 28(1), 14–27. doi: 10.1002/acs.2382
   Web of Science ®Google Scholar
• Wang, D., & Low, C. B. (2008). Modeling and analysis of skidding and slipping in wheeled mobile robots: Control design perspective. IEEE Transactions on Robotics, 24(3), 676–687. doi: 10.1109/TRO.2008.921563
   Web of Science ®Google Scholar
• Wang, T.-Y., & Tsai, C.-C. (2005). Adaptive robust control of Nonholonomic Wheeled Mobile Robots. 16th IFAC World Congress.
   Google Scholar
• Yang, J.-M., & Kim, J.-H. (1999). Sliding mode control for trajectory tracking of nonholonomic wheeled mobile robots. IEEE Transactions on Robotics and Automation, 15(3), 578–587. doi: 10.1109/70.768190
   Google Scholar
• Yoo, S. J. (2013). Adaptive neural tracking and obstacle avoidance of uncertain mobile robots with unknown skidding and slipping. Information Sciences, 238, 176–189. doi: 10.1016/j.ins.2013.03.013
   Web of Science ®Google Scholar
• Zhou, B., Peng, Y., & Han, J. (2007). December. UKF based estimation and tracking control ofnonholonomic mobile robots with slipping. In IEEE International Conference on Robotics and Biomimetics (pp. 2058–2063). Sanya, China: IEEE.
   Google Scholar