Equiangular navigation and guidance of a wheeled mobile robot based on range-only measurements

We consider the problems of a wheeled mobile robot navigation and guidance towards an unknown stationary or maneuvering target using range-only measurements. We propose and study several methods for navigation and guidance termed Equiangular Navigation Guidance (ENG) laws. We give mathematically rigorous analysis of the proposed guidance laws. The performance is confirmed with computer simulations and experiments with ActivMedia Pioneer 3-DX wheeled robots.

[1]  Andrey V. Savkin,et al.  Node Localization Using Mobile Robots in Delay-Tolerant Sensor Networks , 2005, IEEE Trans. Mob. Comput..

[2]  Vijay Kumar,et al.  Biologically inspired bearing-only navigation and tracking , 2007, 2007 46th IEEE Conference on Decision and Control.

[3]  Deborah Estrin,et al.  GPS-less low-cost outdoor localization for very small devices , 2000, IEEE Wirel. Commun..

[4]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[5]  Giancarlo Ferrigno,et al.  A Technique for the Evaluation of Derivatives from Noisy Biomechanical Data by a Model-Based Bandwidth-Selection Procedure , 1990 .

[7]  Andrey V. Savkin,et al.  Qualitative Theory of Hybrid Dynamical Systems , 2012 .

[8]  Leonidas J. Guibas,et al.  A Visibility-Based Pursuit-Evasion Problem , 1999, Int. J. Comput. Geom. Appl..

[9]  L. Dubins On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents , 1957 .

[10]  Warren E. Dixon,et al.  Nonlinear Control of Wheeled Mobile Robots , 2001 .

[11]  Andrey V. Savkin,et al.  Circular-Navigation-Guidance Law for Precision Missile/Target Engagements , 2006 .

[12]  Sanjiv Singh,et al.  Preliminary results in range-only localization and mapping , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[13]  Andrey V. Savkin,et al.  Circular Navigation Missile Guidance with Incomplete Information and Uncertain Autopilot Model , 2003 .

[14]  Paul Zarchan,et al.  Tactical and strategic missile guidance , 1990 .

[15]  T. Song Observability of target tracking with range-only measurements , 1999 .

[16]  Taek Lyul Song,et al.  Observability of target tracking with bearings-only measurements , 1996 .

[17]  Andrey V. Savkin,et al.  Distance-only based navigation of Wheeled Mobile Robots with obstacle avoidance , 2009, 2008 IEEE International Conference on Robotics and Biomimetics.

[18]  Andrea Zanella,et al.  Testbed implementation and refinement of a range-based localization algorithm for wireless sensor networks , 2006, Mobility '06.

[19]  Geoffrey A. Hollinger,et al.  Preliminary Results in Tracking Mobile Targets Using Range Sensors from Multiple Robots , 2006, DARS.

[20]  Sebastian Thrun,et al.  Probabilistic Algorithms in Robotics , 2000, AI Mag..

[21]  Hugh F. Durrant-Whyte,et al.  A solution to the simultaneous localization and map building (SLAM) problem , 2001, IEEE Trans. Robotics Autom..

[22]  E. H. Lockwood,et al.  A Book of Curves , 1963, The Mathematical Gazette.

[23]  H. Nijmeijer,et al.  An observer-controller combination for a unicycle mobile robot , 2005 .

[24]  Andrey V. Savkin,et al.  Circular navigation guidance law for precision missile/target engagements , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[25]  Leonidas J. Guibas,et al.  Visibility-Based Pursuit-Evasion in a Polygonal Environment , 1997, WADS.

[26]  Antonis A. Argyros,et al.  Angle-based methods for mobile robot navigation: reaching the entire plane , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[27]  Andrey V. Savkin,et al.  A biologically inspired method for vision-based docking of wheeled mobile robots , 2007, Robotics Auton. Syst..

[28]  Geoffrey A. Hollinger,et al.  Tracking a moving target in cluttered environments with ranging radios , 2008, 2008 IEEE International Conference on Robotics and Automation.

[29]  Jahng-Hyon Park,et al.  Auto-tuning of sliding mode control parameters using fuzzy logic , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[30]  G. Ferrigno,et al.  Technique for the evaluation of derivatives from noisy biomechanical displacement data using a model-based bandwidth-selection procedure , 1990, Medical and Biological Engineering and Computing.

[31]  Daniel J. Stilwell,et al.  Toward underwater navigation based on range measurements from a single location , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[32]  Geoffrey A. Hollinger,et al.  Coordinated Search in Cluttered Environments Using Range from Multiple Robots , 2007, FSR.

[33]  Tohru Kikuno,et al.  On detecting feature interactions in the programmable service environment of Internet telephony , 2004, Comput. Networks.

[34]  Robin J. Evans,et al.  Hybrid Dynamical Systems: Controller and Sensor Switching Problems , 2012 .

[35]  Vinayak S. Naik,et al.  A line in the sand: a wireless sensor network for target detection, classification, and tracking , 2004, Comput. Networks.

[36]  Sanjiv Singh,et al.  A Robust Method of Localization and Mapping Using Only Range , 2008, ISER.

[37]  P. Varaiya,et al.  Hybrid dynamical systems , 1989, Proceedings of the 28th IEEE Conference on Decision and Control,.

[38]  Gaurav S. Sukhatme,et al.  Robomote: a tiny mobile robot platform for large-scale ad-hoc sensor networks , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[39]  Peter Craven,et al.  Smoothing noisy data with spline functions , 1978 .