Abstract
Braitenberg vehicles have been used in robotics for decades on an empirical basis. This paper presents the dynamic equations describing the motion of vehicle 2b and derives a wandering control mechanism based on them. Using this controller, a dual-drive vehicle is proved to move continuously on a bounded environment without colliding with obstacles. Unlike other wandering mechanisms, it does not rely on a stochastic component, but instead its motion is determined by a system of deterministic nonlinear differential equations. We prove that, under some assumptions on the workspace and controller, the mechanism generates dense trajectories on the workspace. Dense trajectories are suitable for coverage tasks. Simulations of a robot with range sensing capabilities are used to test the theoretical results. This work presents the application of some of the first formal, non purely empirical, results of Braitenberg vehicles to robotics.
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References
Braitenberg, V.: Vehicles. Experiments in synthetic psychology. The MIT Press (1984)
Brooks, R.A.: A robust layered control system for a mobile robot. IEEE Journal of Robotics and Automation 2(1), 14–23 (1986)
Bicho, E., Schöner, G.: The dynamic approach to autonomous robotics demonstrated on a low-level vehicle platform. Robotics and Autonomous Systems 21, 23–35 (1997)
Schöner, G., Dose, M., Engels, C.: Dynamics of behavior: theory and applications for autonomous robot architectures. Robotics and Autonomous Systems 16, 213–245 (1995)
Yang, X., Patel, R.V., Moallem, M.: A Fuzzy-Braitenberg Navigation Strategy for Differential Drive Mobile Robots. Journal of Intelligent Robotic Systems 47, 101–124 (2006)
Lilienthal, A.J., Duckett, T.: Experimental analysis of gas-sensitive Braitenberg vehicles. Advanced Robotics 18(8), 817–834 (2004)
Meriçli, T., Akın, H.L.: Soccer without intelligence. In: Proc. of the 2008 IEEE Int. Conf. on Robotics and Biomimetics, pp. 2079–2084 (2008)
Mautner, C., Belew, R.K.: Evolving robot morphology and control. Artificial Life and Robotics 4, 130–136 (2000)
Salomon, R.: Evolving and optimizing Braitenberg vehicles by means of evolution strategies. Int. J. Smart Eng. Syst. Design 2, 69–77 (1999)
Choset, H.: Coverage for robotics – a survey of recent results. Annals of Mathematics and Artificial Intelligence 31, 113–126 (2001)
Lauomnd, J.P., Jacobs, P., Taïx, M., Murray, R.: A motion planner for nonholonomic mobile robots. IEEE Trans. on Robotics and Automation 10(5), 577–593 (1994)
MacKenzie, D., Balch, T.: Making a clean sweep: Behaviour based vacuuming. In: AAAI Fall Symposium, Instationating Real-World Agents (1996)
McCrea, W.H., Whipple, F.J.W.: Random paths in two and threedimensions. Proceedings of the Royal Society Edinburgh 60, 281–298 (1940)
Rañó, I.: A systematic analysis of the braitenberg vehicle 2b for point like stimulus sources. To appear in Bioinspiration & Biomimetics (2012)
Parker, T.S., Chua, L.O.: Practical Numerical Algorithms for Chaotic Systems. Springer (1989)
Khatib, O.: Real-time obstacle avoidance for manipulators and mobile robots. International Journal of Robotics Research 5(1) (1986)
Koditschek, D.E., Rimon, E.: Robot navigation functions on manifolds with boundary. Advances in Applied Mathematics 11(4), 412–442 (1990)
O’Rourke, J., Badler, N.: Decomposition of three-dimensional objects into spheres. IEEE Trans. on Pattern Analysis and Machine Intelligence 1(3), 295–305 (1979)
Rañó, I.: An Empirical Evidence of Braitenberg Vehicle 2b Behaving as a Billiard Ball. In: Doncieux, S., Girard, B., Guillot, A., Hallam, J., Meyer, J.-A., Mouret, J.-B. (eds.) SAB 2010. LNCS, vol. 6226, pp. 293–302. Springer, Heidelberg (2010)
Tabachnikov, S.: Geometry and Billiards. American Mathematical Society (2005)
Rañó, I., Smithers, T.: Obstacle avoidance through Braitenberg’s aggression behavior and motor fusion. In: Proc. of the 2nd European Conf. on Mobile Robots, pp. 98–103 (2005)
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Rañó, I., Jokeit, JS. (2012). A Wandering Braitenberg Vehicle 2b That Densely Covers a Bounded Workspace. In: Herrmann, G., et al. Advances in Autonomous Robotics. TAROS 2012. Lecture Notes in Computer Science(), vol 7429. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32527-4_4
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DOI: https://doi.org/10.1007/978-3-642-32527-4_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-32526-7
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