Maintaining an autonomous agent's position in a moving formation with range-only measurements

Using concepts from switched adaptive control theory, a provably correct solution is given to the problem of maintaining the position of a point modelled mobile autonomous agent in a moving formation in the plane using only range measurements to three of its neighbors. The performance of the resulting system degrades gracefully in the face of measurement and miss-alignment errors, provided the measurement errors are not too large.

[1]  Vijay Kumar,et al.  Extensive Representations and Algorithms for Nonlinear Filtering and Estimation , 2006, WAFR.

[2]  Vijay Kumar,et al.  Control for Localization of Targets using Range-only Sensors , 2009, Int. J. Robotics Res..

[3]  Randall Smith,et al.  Estimating Uncertain Spatial Relationships in Robotics , 1987, Autonomous Robot Vehicles.

[4]  A. S. MorseCenter Certainty Equivalence Implies Detectability , 1998 .

[5]  A. Morse,et al.  MIMO Design Models and Internal Regulators for Cyclicly-Switched Parameter-Adaptive Control Systems , 1993, 1993 American Control Conference.

[6]  M. Cao,et al.  Convexification of the range-only station keeping problem , 2008, 2008 American Control Conference.

[7]  M. Cao,et al.  Station Keeping in the Plane with Range-Only Measurements , 2007, 2007 American Control Conference.

[8]  Wolfram Burgard,et al.  A Probabilistic Approach to Concurrent Mapping and Localization for Mobile Robots , 1998, Auton. Robots.

[9]  John J. Leonard,et al.  Adaptive Mobile Robot Navigation and Mapping , 1999, Int. J. Robotics Res..

[10]  Brian D. O. Anderson,et al.  A continuous time linear adaptive source localization algorithm, robust to persistent drift , 2009, Syst. Control. Lett..

[11]  A. S. Morse Analysis of a Supervised SetPoint Control Containing a Compact Continuum of Finite-Dimensional Linear Controllers ∗ , 2004 .

[12]  Wolfram Burgard,et al.  Monte Carlo Localization: Efficient Position Estimation for Mobile Robots , 1999, AAAI/IAAI.

[13]  Stefan B. Williams,et al.  Towards multi-vehicle simultaneous localisation and mapping , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[14]  S. Dasgupta,et al.  Adaptive Source Localization by Mobile Agents , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[15]  A. S. Morse Cyclic Switching and Supervisory Control , 1995 .

[16]  A. Morse,et al.  A cyclic switching strategy for parameter-adaptive control , 1994, IEEE Trans. Autom. Control..

[17]  Leopoldo Armesto,et al.  SLAM based on Kalman filter for multi-rate fusion of laser and encoder measurements , 2004, 2004 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) (IEEE Cat. No.04CH37566).

[18]  Paul Newman,et al.  On the Structure and Solution of the Simultaneous Localisation and Map Building Problem , 1999 .

[19]  Bruce A. MacDonald,et al.  An evaluation of the sequential Monte Carlo technique for simultaneous localisation and map-building , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[20]  Hugh F. Durrant-Whyte,et al.  Simultaneous map building and localization for an autonomous mobile robot , 1991, Proceedings IROS '91:IEEE/RSJ International Workshop on Intelligent Robots and Systems '91.

[21]  Hugh F. Durrant-Whyte,et al.  An Experimental and Theoretical Investigation into Simultaneous Localisation and Map Building , 1999, ISER.