Sensor-based exploration for planar two-identical-link robots

We present a new roadmap based on a generalized Voronoi graph for two-identical-link mobile robots to explore an unknown planar environment. It is called the L2-generalized Voronoi graph and is defined in terms of workspace distance measurements using only sensor-provided information, with the robot having the maximum distance from obstacles, and is therefore optimum in a point of view for exploration and obstacle avoidance. The configuration of the robot possesses four degrees of freedom, and hence the roadmap is one-dimensional in an unknown configuration space ℝ 2 × T 2 . The L2-generalized Voronoi graph is not always connected, and so is connected with an additional structure called the L2R-edge, where the robot is tangent to a GVD structure with the same orientation for the two links. This roadmap is termed L2 hierarchical generalized Voronoi graph. The L2 hierarchical generalized Voronoi graph includes two structures: the L2 hierarchical generalized Voronoi graph and the L2R edge. Although the condition of two identical links looks somewhat constraining, the L2 hierarchical generalized Voronoi graph is still worth pursuing because the case is very common in the engineering environment.

[1]  Chee-Keng Yap,et al.  A "Retraction" Method for Planning the Motion of a Disc , 1985, J. Algorithms.

[2]  John Canny,et al.  The complexity of robot motion planning , 1988 .

[3]  J. Burdick,et al.  Sensor based planning. I. The generalized Voronoi graph , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.

[4]  Howie Choset,et al.  Sensor Based Planing, Part II: Incremental COnstruction of the Generalized Voronoi Graph , 1995, ICRA.

[5]  Howie Choset,et al.  Mobile robot navigation: issues in implementating the generalized Voronoi graph in the plane , 1996, 1996 IEEE/SICE/RSJ International Conference on Multisensor Fusion and Integration for Intelligent Systems (Cat. No.96TH8242).

[6]  Howie Choset,et al.  Sensor based planning: a control law for generating the generalized Voronoi graph , 1997, 1997 8th International Conference on Advanced Robotics. Proceedings. ICAR'97.

[7]  Dinesh Manocha,et al.  Randomized Path Planning for a Rigid Body Based on Hardware Accelerated Voronoi Sampling , 1999 .

[8]  Dinesh Manocha,et al.  Fast computation of generalized Voronoi diagrams using graphics hardware , 1999, SIGGRAPH.

[9]  H. Choset,et al.  Toward robust sensor based exploration by constructing reduced generalized Voronoi graph , 1999, 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).

[10]  Dinesh Manocha,et al.  Fast computation of generalized Voronoi diagrams using graphics hardware , 1999, SIGGRAPH.

[11]  Dinesh Manocha,et al.  Interactive motion planning using hardware-accelerated computation of generalized Voronoi diagrams , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[12]  Howie Choset,et al.  Sensor-Based Exploration: The Hierarchical Generalized Voronoi Graph , 2000, Int. J. Robotics Res..

[13]  Howie Choset,et al.  Sensor-Based Exploration: Incremental Construction of the Hierarchical Generalized Voronoi Graph , 2000, Int. J. Robotics Res..

[14]  J. Burdick,et al.  Sensor-Based The Hierarchical Generalized Voronoi Graph , 2000 .

[15]  Howie Choset,et al.  Sensor-based construction of a retract-like structure for a planar rod robot , 2001, IEEE Trans. Robotics Autom..

[16]  Dinesh Manocha,et al.  A Voronoi-based hybrid motion planner , 2001, Proceedings 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems. Expanding the Societal Role of Robotics in the the Next Millennium (Cat. No.01CH37180).

[17]  Ji Yeong Lee,et al.  Sensor-based exploration for convex bodies: a new roadmap for a convex-shaped robot , 2005, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[18]  Keiji Nagatani,et al.  Sensor-based navigation for car-like mobile robots based on a generalized Voronoi graph , 2003, Adv. Robotics.

[19]  Howie Choset,et al.  Principles of Robot Motion: Theory, Algorithms, and Implementation ERRATA!!!! 1 , 2007 .

[20]  Ming C. Lin,et al.  An opportunistic global path planner , 2005, Algorithmica.

[21]  Howie Choset,et al.  Sensor-based Planning for a Rod-shaped Robot in Three Dimensions: Piecewise Retracts of R3 × S2 , 2005, Int. J. Robotics Res..

[22]  Elon Rimon,et al.  Construction of C-space roadmaps from local sensory data. What should the sensors look for? , 1994, Algorithmica.

[23]  Howie Choset,et al.  Parameterized and Scripted Gaits for Modular Snake Robots , 2009, Adv. Robotics.

[24]  Howie Choset,et al.  Generating gaits for snake robots: annealed chain fitting and keyframe wave extraction , 2010, Auton. Robots.

[25]  Andrew Bradley,et al.  Modelling of transient cornering and suspension dynamics, and investigation into the control strategies for an ideal driver in a lap time simulator , 2014 .