AUTHORS: Salah Nasr, Amine Abadi, Kais Bouallegue, Hassen Mekki
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ABSTRACT: In this paper, based on differential flatness theory, the motion control of a wheeled mobile robot is studied. However, a flatness-based controller is designed to ensure the trajectory tracking. Secondly, this paper deal about the complex chaotic behaviors which can appear in the dynamic trajectory of an mobile robot. Different mathematical tools have been used such as flatness control technique and non linear chaotic system. Simulation results for kinematic controller is presented to demonstrate the effectiveness of this approach.
KEYWORDS: Mobile robot, flatness control, chaos control, chaotic phenomena
REFERENCES:
[1] H. Belaidi, H. Bentarzi, and M. Belaidi, “Implementation of a mobile robot platform navigating in dynamic environment,” in MATEC Web of Conferences, vol. 95. EDP Sciences, 2017, p. 08004.
[2] Y. Hargas, A. Mokrane, A. Hentout, O. Hachour, and B. Bouzouia, “Mobile manipulator path planning based on artificial potential field: Application on robuter/ulm,” in Electrical Engineering (ICEE), 2015 4th International Conference on. IEEE, 2015, pp. 1–6.
[3] N. Kumar, V. Panwar, J.-H. Borm, and J. Chai, “Enhancing precision performance of trajectory tracking controller for robot manipulators using rbfnn and adaptive bound,” Applied Mathematics and Computation, vol. 231, pp. 320–328, 2014.
[4] C. Y. Lai, “Improving the transient performance in robotics force control using nonlinear damping,” in Advanced Intelligent Mechatronics (AIM), 2014 IEEE/ASME International Conference on. IEEE, 2014, pp. 892–897.
[5] M. Korayem, M. Yousefzadeh, and S. Manteghi, “Dynamics and input–output feedback linearization control of a wheeled mobile cable-driven parallel robot,” Multibody System Dynamics, pp. 1–19, 2016.
[6] N. V. Tinh, N. T. Linh, P. T. Cat, P. M. Tuan, M. N. Anh, and N. P. Anh, “Modeling and feedback linearization control of a nonholonomic wheeled mobile robot with longitudinal, lateral slips,” in Automation Science and Engineering (CASE), 2016 IEEE International Conference on. IEEE, 2016, pp. 996–1001.
[7] G. Klancar and I. ˇ Skrjanc, “Tracking-error ˇ model-based predictive control for mobile robots in real time,” Robotics and Autonomous Systems, vol. 55, no. 6, pp. 460–469, 2007.
[8] A. Bakdi, A. Hentout, H. Boutami, A. Maoudj, O. Hachour, and B. Bouzouia, “Optimal path planning and execution for mobile robots using genetic algorithm and adaptive fuzzy-logic control,” Robotics and Autonomous Systems, vol. 89, pp. 95–109, 2017.
[9] U. Nehmzow, “Quantitative analysis of robot– environment interactiontowards scientific mobile robotics,” Robotics and Autonomous Systems, vol. 44, no. 1, pp. 55–68, 2003.
[10] Y. Nakamura and A. Sekiguchi, “The chaotic mobile robot,” IEEE Transactions on Robotics and Automation, vol. 17, no. 6, pp. 898–904, 2001.
[11] A. Jansri, K. Klomkarn, and P. Sooraksa, “On comparison of attractors for chaotic mobile robots,” in Industrial Electronics Society, 2004. IECON 2004. 30th Annual Conference of IEEE, vol. 3. IEEE, 2004, pp. 2536–2541.
[12] L. S. Martins-Filho, R. F. Machado, R. Rocha, and V. Vale, “Commanding mobile robots with chaos,” in ABCM Symposium Series in Mechatronics, vol. 1, 2004, pp. 40–46.
[13] E. Veslin Diaz, J. Slama, M. Dutra, O. Lengerke, and M. Morales Tavera, “Trajectory tracking for robot manipulators using differential flatness,” Ingenier´ıa e Investigacion´ , vol. 31, no. 2, pp. 84– 90, 2011.
[14] J. Levine, Analysis and control of nonlinear systems: A flatness-based approach. Springer Science & Business Media, 2009.
[15] E. Markus, J. Agee, A. Jimoh, N. Tlale, and B. Zafer, “Flatness based control of a 2 dof single link flexible joint manipulator.” in SIMULTECH, 2012, pp. 437–442.
[16] E. D. Markus, J. T. Agee, and A. A. Jimoh, “Flat control of industrial robotic manipulators,” Robotics and Autonomous Systems, vol. 87, pp. 226–236, 2017.
[17] J. Coulaud and G. Campion, “Optimal trajectory tracking for differentially flat systems with singularities,” in Control and Automation, 2007. ICCA 2007. IEEE International Conference on. IEEE, 2007, pp. 1960–1965.
[18] S. Vivek, K. Sunil, F. Jaume et al., “Differential flatness of a class of n-dof planar manipulators driven by 1 or 2 actuators,” 2010.
[19] E. D. Markus, J. T. Agee, and A. A. Jimoh, “Trajectory control of a two-link robot manipulator in the presence of gravity and friction,” in AFRICON, 2013. IEEE, 2013, pp. 1–5.
[20] R. Siegwart, I. R. Nourbakhsh, and D. Scaramuzza, Introduction to autonomous mobile robots. MIT press, 2011.
[21] F. Nicolau and W. Respondek, “Multi-input control-affine systems linearizable via one-fold prolongation and their flatness,” in Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on. IEEE, 2013, pp. 3249–3254.
[22] M. Fliess, J. Levine, P. Martin, and P. Rouchon, ´ “Flatness and defect of non-linear systems: introductory theory and examples,” International journal of control, vol. 61, no. 6, pp. 1327–1361, 1995.
[23] M. Bahrami, R. Jamilnia, and A. Naghash, “Trajectory optimization of space manipulators with flexible links using a new approach,” International Journal of Robotics, vol. 1, no. 1, pp. 48– 55, 2009.
[24] S. Vaidyanathan, “Analysis and adaptive synchronization of two novel chaotic systems with hyperbolic sinusoidal and cosinusoidal nonlinearity and unknown parameters,” Journal of Engineering Science and Technology Review, vol. 6, no. 4, pp. 53–65, 2013.
[25] T.-C. E. C.-H. C. S.-L. C. F. M. Trejo-Guerra, R., “Current conveyor realization of synchronized chuas circuits for binary communications.” IEEE . DTIS, pp. 1–4, 2008.
[26] K. Aihara and R. Katayama, “Chaos engineering in japan,” Communications of the ACM, vol. 38, no. 11, pp. 103–107, 1995.