Control of the Chaotic Phenomenon in Robot Path using Differential Flatness

This paper deals with the complex chaotic behavior that can appear in the dynamic trajectory of a mobile robot, when the robot is broken or partly damaged. However, a flatness-based controller is designed to ensure the trajectory planning and tracking. Different mathematical tools have been used such as the flatness control technique and non linear chaotic systems. The simulation results for the kinematic controller are presented to demonstrate the effectiveness of this approach.

[1]  Igor Skrjanc,et al.  Tracking-error model-based predictive control for mobile robots in real time , 2007, Robotics Auton. Syst..

[2]  M. Fakhfakh,et al.  Current conveyor realization of synchronized Chua’s circuits for binary communications , 2008, 2008 3rd International Conference on Design and Technology of Integrated Systems in Nanoscale Era.

[3]  Brahim Bouzouia,et al.  Optimal path planning and execution for mobile robots using genetic algorithm and adaptive fuzzy-logic control , 2017, Robotics Auton. Syst..

[4]  Moharam Habibnejad Korayem,et al.  Dynamics and input–output feedback linearization control of a wheeled mobile cable-driven parallel robot , 2017 .

[5]  Kazuyuki Aihara,et al.  Chaos engineering in Japan , 1995, CACM.

[6]  Elkin Yesid Veslin Díaz,et al.  Trajectory tracking for robot manipulators using differential flatness , 2011 .

[7]  Roland Siegwart,et al.  Introduction to Autonomous Mobile Robots , 2004 .

[8]  Elisha D. Markus,et al.  Trajectory control of a two-link robot manipulator in the presence of gravity and friction , 2013, 2013 Africon.

[9]  Vivek Sangwan,et al.  Differential Flatness of a Class of $n$-DOF Planar Manipulators Driven by 1 or 2 Actuators , 2010, IEEE Transactions on Automatic Control.

[10]  Hamid Bentarzi,et al.  Implementation of a Mobile Robot Platform Navigating in Dynamic Environment , 2017 .

[11]  G. Campion,et al.  Optimal Trajectory Tracking for Differentially Flat Systems with Singularities , 2007, 2007 IEEE International Conference on Control and Automation.

[12]  John T. Agee,et al.  Flatness based Control of a 2 DOF Single Link Flexible Joint Manipulator , 2012, SIMULTECH.

[13]  M. Fliess,et al.  Flatness and defect of non-linear systems: introductory theory and examples , 1995 .

[14]  Brahim Bouzouia,et al.  Mobile manipulator path planning based on artificial potential field: Application on RobuTER/ULM , 2015, 2015 4th International Conference on Electrical Engineering (ICEE).

[15]  Florentina Nicolau,et al.  Multi-input control-affine systems linearizable via one-fold prolongation and their flatness , 2013, 52nd IEEE Conference on Decision and Control.

[16]  Nguyen V. Tinh,et al.  Modeling and feedback linearization control of a nonholonomic wheeled mobile robot with longitudinal, lateral slips , 2016, 2016 IEEE International Conference on Automation Science and Engineering (CASE).

[17]  S. Vaidyanathan Analysis and Adaptive Synchronization of Two Novel Chaotic Systems with Hyperboli c Sinusoidal and Cosinusoidal Nonlinearity and Unknown Parameters , 2013 .

[18]  Yoshihiko Nakamura,et al.  The chaotic mobile robot , 1997, Proceedings 1999 IEEE/RSJ International Conference on Intelligent Robots and Systems. Human and Environment Friendly Robots with High Intelligence and Emotional Quotients (Cat. No.99CH36289).

[19]  Jangbom Chai,et al.  Enhancing precision performance of trajectory tracking controller for robot manipulators using RBFNN and adaptive bound , 2014, Appl. Math. Comput..

[20]  Ronilson Rocha,et al.  COMMANDING MOBILE ROBOTS WITH CHAOS , 2003 .

[21]  P. Sooraksa,et al.  On comparison of attractors for chaotic mobile robots , 2004, 30th Annual Conference of IEEE Industrial Electronics Society, 2004. IECON 2004.

[22]  Chow Yin Lai Improving the transient performance in robotics force control using nonlinear damping , 2014, 2014 IEEE/ASME International Conference on Advanced Intelligent Mechatronics.

[23]  M. Bahrami,et al.  Trajectory Optimization of Space Manipulators with Flexible Links Using a New Approach , 2009 .

[24]  J. Lévine Analysis and Control of Nonlinear Systems: A Flatness-based Approach , 2009 .

[25]  John T. Agee,et al.  Flat control of industrial robotic manipulators , 2017, Robotics Auton. Syst..

[26]  Ulrich Nehmzow,et al.  Quantitative analysis of robot-environment interaction - towards "scientific mobile robotics" , 2003, Robotics Auton. Syst..