Abstract
The paper proposes the method to deal with control problems of unmodeled components of the four-wheeled Omni-directional mobile robot. It is commonly challenging to design a model-based control scheme to achieve smooth movement in the tracking process due to the unknown elements in the mathematical model of the robot or external disturbances. Our main contribution focuses on designing an adaptive controller based on neural networks with online weight updating laws and Fuzzy logic to guarantee the high accuracy of the robot’s movement when the unknown factors adversely affect the robot control. At the initial step, a Dynamic Surface Control plays a role as a core of the controller for the robot system. Then, with the ability to estimate the appropriate value for uncertain nonlinear parts, a Radial Basis Function Neural Network is designed. Finally, a Fuzzy law is to utilize control parameters in each period to increase the adaptive behavior of the system. The stability and convergence of the system are proven by the Lyapunov’s stability theory. The simulation results illustrate the validity and the efficiency of the proposed control algorithm when the system is lack of robot model’s information.
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References
A. Phunopas and S. Inoue, “Motion improvement of four-wheeled omnidirectional mobile robots for indoor terrain,” Journal of Robotics, Networking Artificial Life, vol. 4, no. 4, pp. 275–282, 2018.
Y.-P. Hsu, C.-C. Tsai, Z.-C. Wang, Y.-J. Feng, and H.-H. Lin, “Hybrid navigation of a four-wheeled tour-guide robot,” Proc. of ICCAS-SICE, IEEE, pp. 4353–4358, 2009.
E. Hashemi, M. G. Jadidi, and O. B. Babarsad, “Trajectory planning optimization with dynamic modeling of four wheeled omni-directional mobile robots,” Proc. of IEEE International Symposium on Computational Intelligence in Robotics and Automation-(CIRA), IEEE, pp. 272–277, 2009.
J. Qian, B. Zi, D. Wang, Y. Ma, and D. Zhang, “The design and development of an omni-directional mobile robot oriented to an intelligent manufacturing system,” Sensors, vol. 17, no. 9, p. 2073, 2017.
L. Huang, Y. Lim, D. Li, and C. E. Teoh, “Design and analysis of a four-wheel omnidirectional mobile robot,” Proc. of 2nd International Conference of Autonomous Robots and Agents, pp. 425–428, 2004.
C.-C. Tsai, L.-B. Jiang, T.-Y. Wang, and T.-S. Wang, “Kinematics control of an omnidirectional mobile robot,” Proceedings of CACS Automatic Control Conference Tainan, pp. 18–19, 2005.
K. Kanjanawanishkul and A. Zell, “Path following for an omnidirectional mobile robot based on model predictive control,” Proc. of IEEE International Conference on Robotics and Automation, IEEE, pp. 3341–3346, 2009.
Y. Liu, X. Wu, J. J. Zhu, and J. Lew, “Omni-directional mobile robot controller design by trajectory linearization,” Proceedings of the American Control Conference, IEEE, vol. 4, pp. 3423–3428, 2003.
Y. Liu, J. J. Zhu, R. L. Williams II, and J. Wu, “Omnidirectional mobile robot controller based on trajectory linearization,” Robotics Autonomous Systems, vol. 56, no. 5, pp. 461–479, 2008.
H. F. P. de Oliveira, A. J. M. de Sousa, A. P. G. M. Moreira, and P. J. C. G. da Costa, “Precise modeling of a four wheeled omni-directional robot,” Proceedings of the 8th Conference on Autonomous Robot Systems and Competitions, 2008.
R. L. Williams, B. E. Carter, P. Gallina, and G. Rosati, “Dynamic model with slip for wheeled omnidirectional robots,” IEEE Transactions on Robotics Automation, vol. 18, no. 3, pp. 285–293, 2002.
T.-Y. Wang, C.-C. Tsai, and D. A. Wang, “Dynamic control of an omnidirectional mobile platform,” Journal of Nan Kai, vol. 7, pp. 9–18, 2010.
I. Ahmed and A. S. Al-Ammri, “Control of omnidirectional mobile robot motion,” Al-Khwarizmi Engineering Journal, vol. 6, no. 4, pp. 1–9, 2010.
X.-B. Wu, Z. Chen, W.-B. Chen, and W.-K. Wang, “Research on the design of educational robot with four-wheel omni-direction chassis,” Journal of Computers, vol. 29, no. 4, pp. 284–294, 2018.
H. P. Oliveira, A. J. Sousa, A. P. Moreira, and P. J. Costa, “Dynamical Models for Omni-directional Robots with 3 and 4 Wheels,” Proc. of the Fifth International Conference on Informatics in Control, Automation and Robotics, Robotics and Automation 1 (ICINCO-RA (1)), pp. 189–196, INSTICC Press, 2008.
R. Fierro and F. L. Lewis, “Control of a nonholomic mobile robot: Backstepping kinematics into dynamics,” Journal of Robotic Systems, vol. 14, no. 3, pp. 149–163, 1997.
Q. Z. Cui, X. Li, X. K. Wang, and M. Zhang “Backstepping control design on the dynamics of the omni-directional mobile robot,” Applied Mechanics and Materials, Trans Tech Publications, vol. 203, pp. 51–56, 2012.
B. Song and J. K. Hedrick, Dynamic Surface Control of Uncertain Nonlinear Systems: An LMI Approach, Springer Science Business Media, 2011.
D. Swaroop, J. K. Hedrick, P. P. Yip, and J. C. Gerdes, “Dynamic surface control for a class of nonlinear systems,” IEEE Transactions on Automatic Control, vol. 45, no. 10, pp. 1893–1899, 2000.
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 Systems, vol. 7, no. 3, pp. 429–435, 2009.
A. Bessas, A. Benalia, and F. Boudjema, “Integral sliding mode control for trajectory tracking of wheeled mobile robot in presence of uncertainties,” Journal of Control Science Engineering, vol. 2016, 2016.
L.-C. Lin and H.-Y. Shih, “Modeling and adaptive control of an omni-mecanum-wheeled robot,” Intelligent Control and Automation, vol. 4, no. 2, 2013.
J.-T. Huang, T. Van Hung, and M.-L. Tseng, “Smooth switching robust adaptive control for omnidirectional mobile robots,” IEEE Transactions on Control Systems Technology, vol. 23, no. 5, pp. 1986–1993, 2015.
V. Alakshendra and S. S. Chiddarwar, “A robust adaptive control of mecanum wheel mobile robot: Simulation and experimental validation,” Proc. of IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), IEEE, pp. 5606–5611, 2016.
N.-B. Hoang and H.-J. Kang, “Neural network-based adaptive tracking control of mobile robots in the presence of wheel slip and external disturbance force,” Neurocomputing, vol. 188, pp. 12–22, 2016.
M. Boukens, A. Boukabou, and M. Chadli, “Robust adaptive neural network-based trajectory tracking control approach for nonholonomic electrically driven mobile robots,” Robotics Autonomous Systems, vol. 92, pp. 30–40, 2017.
X. Lu, X. Zhang, G. Zhang, and S. Jia, “Design of adaptive sliding mode controller for four-Mecanum wheel mobile robot,” Proc. of 37th Chinese Control Conference (CCC), IEEE, pp. 3983–3987, 2018.
J. Fan, S. Jia, and X. Li, “Direct adaptive control based on improved RBF neural network for omni-directional mobile robot,” Proc. of International Conference on Mechatronics, Electronic, Industrial and Control Engineering (MEIC-15), Atlantis Press, 2015.
L. Yu, S. Fei, and G. Yang, “A neural network approach for tracking control of uncertain switched nonlinear systems with unknown dead-zone input,” Circuits, Systems, Signal Processing, vol. 34, no. 8, pp. 2695–2710, 2015.
Y. H. Joo and P. X. Duong, “Adaptive neural network second-order sliding mode control of dual arm robots,” International Journal of Control, Automation and Systems, vol. 15, no. 6, pp. 2883–2891, 2017.
V. Stojanovic and N. Nedic, “Joint state and parameter robust estimation of stochastic nonlinear systems,” International Journal of Robust and Nonlinear Control, vol. 26, no. 14, pp. 3058–3074, 2016.
V. Stojanovic and N. Nedic, and N. G. Jadidi, “Identification of time-varying OE models in presence of non-Gaussian noise: Application to pneumatic servo drives,” International Journal of Robust and Nonlinear Control, vol. 26, no. 18, pp. 3974–3995, 2016.
E. Hashemi, M. G. Jadidi, and N. G. Jadidi, “Model-based PI-fuzzy control of four-wheeled omni-directional mobile robots,” Robotics Autonomous Systems, vol. 59, no. 11, pp. 930–942, 2011.
A. Sheikhlar, A. Fakharian, and A. Adhami-Mirhosseini, “Fuzzy adaptive PI control of omni-directional mobile robot,” Proc. of 13th Iranian Conference on Fuzzy Systems (IFSC), IEEE, pp. 1–4, 2013.
J. Kumar, V. Kumar, and K. Rana, “Design of robust fractional order fuzzy sliding mode PID controller for two link robotic manipulator system,” Journal of Intelligent Fuzzy Systems, vol. 35, no. 5, pp. 5301–5315, 2018.
S.-I. Han and J.-M. Lee, “Adaptive fuzzy backstepping dynamic surface control for output-constrained non-smooth nonlinear dynamic system,” International Journal of Control, Automation Systems, vol. 10, no. 4, pp. 684–696, 2012.
K. D. H. Thi, M. C. Nguyen, H. T. Vo, D. D. Nguyen, and A. D. Bui, “Trajectory tracking control for four-wheeled omnidirectional mobile robot using backstepping technique aggregated with sliding mode control,” Proc. of the 1st International Symposium on Instrumentation, Control, Artificial Intelligence, and Robotics (ICA-SYMP), IEEE, pp. 131–134, 2019.
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Recommended by Associate Editor Sung Jin Yoo under the direction of Editor Euntai Kim.
This research was funded by Project “Research, Design And Manufacturing Smart Human-Form IVASTBot Robot Applied In Communication And Serving Human” coded VAST01.01/20–21 implemented by the Institute of Physics, Vietnam Academy of Science and Technology.
Duyen Ha Thi Kim graduated with Engineering Degree in automatic control at Hanoi University of Science and Technology (HUST) from 1996–2001. She received her Master’s Degree at Le Quy Don Technical University in 2007. Now, she works at the School of Electronic — Hanoi University of Industry. Her main research areas include process control, PLC controller and industrial communication network, adaptive control, fuzzy logic, and neural network control.
Tien Ngo Manh graduated Engineering Degree in automatic control at Hanoi University of Science and Technology (HUST) from 1996–2001. He received his Doctor’s Degree in electrical engineering at HUST in 2014. Now, he works at the Institute of Physics, Vietnam Academy of Science and Technology. His main research areas include process control, adaptive control, fuzzy logic and neural network control, automatic robot control, electro-optical system, image processing.
Cuong Nguyen Manh is a senior student major in electrical — automatic control at Hanoi University of Science and Technology (HUST). Now, he is working at Institute of Physics, Vietnam Academy of Science and Technology. His main research area include adaptive control, fuzzy logic and neural network control, and robot operating system programing for robotics.
Nhan Duc Nguyen received his E.E. degree in automatic control from the Hanoi University of Science and Technology, Hanoi, Vietnam, in 2015, and an M.S. degree in electrical engineering from Kookmin University, Seoul, Korea in 2018. He is currently pursuing a Ph.D degree in biomedical engineering with Sungkyunkwan University, Korea. His research interests include robotics, pattern recognition, machine learning, and deep learning.
Dung Pham Tien is a senior student major in electrical — automatic control at Hanoi University of Science and Technology (HUST). Now, He is working at the Institute of Physics, Vietnam Academy of Science and Technology. His main research areas include adaptive control, fuzzy logic and neural network control, and robot operating system programing for robotics.
Manh Tran Van is a senior student major in electrical — automatic control at Hanoi University of Science and Technology (HUST). Now, he is working at the Institute of Physics, Vietnam Academy of Science and Technology. His main research areas include adaptive control, fuzzy logic and neural network control, and robot operating system programing for robotics.
Minh Phan Xuan received her Master of Engineering Degree (1976) and Doctorate Degree (1989), major in automatic control at Ilmenau University of Technology, Ilmenau, Germany. She is a professor at the School of Electrical Department — Automatic Control at Hanoi University of Science and Technology. Her main research areas include optimize control, adaptive control, fuzzy logic and neural network control, and process control.
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Kim, D.H.T., Manh, T.N., Manh, C.N. et al. Adaptive Control for Uncertain Model of Omni-directional Mobile Robot Based on Radial Basis Function Neural Network. Int. J. Control Autom. Syst. 19, 1715–1727 (2021). https://doi.org/10.1007/s12555-019-1004-6
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DOI: https://doi.org/10.1007/s12555-019-1004-6