Abstract
This paper proposes a systematic trajectory planning algorithm for omnidirectional mobile robot, which consists of three parts: path planning, line velocity planning and posture planning. Third-order Bezier curve is applied to the path planning algorithm and proved to be feasible by analysis of radius of curvature. Further more, the method that constructing a complex path by splicing multisegment Bezier curves turns out to be effective. Then trigonometric function is utilized in the line velocity planning algorithm. The results demonstrate effectiveness and rationality of the algorithm. Lastly, based on trigonometric function and polynomial, a posture planning algorithm for omni-directional mobile robot is designed to plan the posture, angular velocity and angular acceleration. Results show that it can guarantee the continuity of the angular acceleration with excellent effect. On the basis of the case study on a complex path, it is concluded that the trajectory planning algorithm has good adaptability.
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References
Liu, Y., Wu, X., Zim Zhu, J., Lew, J.: Omni-Directional Mobile Robot Controller Design by Trajectory Linearization. In: Proceedings of the American Control Conference, pp. 3423–3428. IEEE Press, New Jersey (2003)
Treesatayapun, C.: A Discrete-Time Stable Controller for an Omni-Directional Mobile Robot Based on an Approximated Model. Control Engineering Practice 19, 194–203 (2011)
Zhao, D., Yi, J., Deng, X.: Structure and Kinematic Analysis of Omni-Directional Mobile Robots. Robot 25, 394–398 (2003)
Kim, K.-B., Kim, B.-K.: Minimum-Time Trajectory for Three-Wheeled Omnidirectional Mobile Robots Following a Bounded-Curvature Path with a Referenced Heading Profile. IEEE Transactions on Robotics 27, 800–808 (2011)
Tu, K.-Y.: A Linear Optimal Tracker Designed for Omnidirectional Vehicle Dynamics Linearized Based on Kinematic Equations. Robotica 28, 1033–1043 (2010)
Kim, H., Kim, B.-K.: Minimum-Energy Translational Trajectory Planning for Battery-Powered Three-Wheeled Omni-Directional Mobile Robots. In: Proceedings of the International Conference on Control, Automation, Robotics and Vision, pp. 1730–1735. IEEE Press, New Jersey (2008)
Hashemi, E., Jadidi, M.G., Babarsad, O.B.: Trajectory Planning Optimization with Dynamic Modeling of Four Wheeled Omni-Directional Mobile Robots. In: Proceedings of the IEEE International Symposium on Computational Intelligence in Robotics and Automation, pp. 272–277. IEEE Press, New Jersey (2009)
Zhang, H., Byun, K.S.: Real Time Path Planning Using Trapezoidal Acceleration Profile for Omnidirectional Mobile Robot. In: Proceedings of the International Conference on Control, Automation and Systems, pp. 830–833. IEEE Press, New Jersey (2008)
Choi, J.-w., Elkaim, G.H.: Bezier Curve for Trajectory Guidance. In: Proceedings of the World Congress on Engineering and Computer Science, pp. 625–630. International Association of Engineers, Hong Kong (2008)
Klančar, G., Škrjanc, I.: A Case Study of the Collision-Avoidance Problem Based on Bernstein-Bezier Path Tracking for Multiple Robots with Known Constraints. Journal of Intelligent and Robotic Systems 60, 317–337 (2010)
Khatib, M., Jaouni, H., Chatila, R., Laumond, J.P.: Dynamic Path Modication for Car-Like Nonholonomic Mobile Robots. In: Proceedings of the IEEE International Conference on Robotics and Automation, pp. 2920–2925. IEEE Press, New Jersey (1997)
Hwang, J.-H., Arkin, R.C., Kwon, D.-S.: Mobile Robots at Your Fingertip: Bezier Curve On-line Trajectory Generation for Supervisory Control. In: Proceedings of the IEEE International Conference on Intelligent Robots and Systems, pp. 1444–1449. IEEE Press, New Jersey (2003)
Petrinec, K., Kovačić, Z.: The Application of Spline Functions and Bezier Curves to AGV Path Planning. In: Proceedings of the IEEE ISIE Conference, pp. 1453–1458. IEEE Press, New Jersey (2005)
Jolly, K.G., Kumar, R.S., Vijayakumar, R.: A Bezier Curve Based Path Planning in a Multi-Agent Robot Soccer System without Violating the Acceleration Limits. Robotics and Autonomous Systems 57, 23–33 (2009)
Wang, X., Shang, J.: Concrete Application of Triple Bezier Curve Jointing Model in Method of Curve-Rization to Broken-Lined Contours. Science of Surveying and Mapping 36, 192–194 (2011)
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© 2012 Springer-Verlag Berlin Heidelberg
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Chen, C., Qin, H., Yin, Z. (2012). Trajectory Planning for Omni-Directional Mobile Robot Based on Bezier Curve, Trigonometric Function and Polynomial. In: Su, CY., Rakheja, S., Liu, H. (eds) Intelligent Robotics and Applications. ICIRA 2012. Lecture Notes in Computer Science(), vol 7508. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33503-7_35
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DOI: https://doi.org/10.1007/978-3-642-33503-7_35
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-33502-0
Online ISBN: 978-3-642-33503-7
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