A curve extension design for coordinated path following control of unicycles along given convex loops

References

• Anderson , B , Yu , C , Dasgupta , S and Morse , A . 2007 . Control of a Three-coleader Formation in the Plane . Systems and Control Letters , 56 : 573 – 578 .
   Google Scholar
• Beard , R , Lawton , L and Hadaegh , F . 2001 . A Coordination Architecture for Spacecraft Formation Control . IEEE Transactions on Control Systems Technology , 9 : 777 – 790 .
   Web of Science ®Google Scholar
• Bertozzi , AL , Kemp , M and Marthaler , D . 2005 . “ Determing Enviromental Boundaries: Asynchronous Communication and Physical Scales ” . In Cooperative Control. Lecture Notes in Control and Information Sciences , Edited by: Kumar , V , Leonard , N and Morse , AS . Vol. 309 , 25 – 42 . Berlin Heidelberg : Springer .
   Google Scholar
• Carmo , MP . 1976 . Differential Geometry of Surfaces , Englewood Cliffs, NJ : Prentice-Hall .
   Google Scholar
• Chen , YY and Tian , YP . 2009a . A Backstepping Design for Directed Formation Control of Three-coleader Agents in the Plane . International Journal of Robust and Nonlinear Control , 19 : 729 – 745 .
   Web of Science ®Google Scholar
• Chen , YY and Tian , YP . 2009b . Directed Coordinated Control for Multi-agent Formation Motion on a Set of Given Curves . Acta Automatica Sinica , 35 : 1541 – 1549 .
   Google Scholar
• Chen , YY and Tian , YP . 2011 . Cooperative Control of Multi-agent Moving Along a Set of Given Curves . Journal of Systems Science and Complexity , 24 : 631 – 646 .
   Google Scholar
• Cortes , J , Marinez , S , Karatas , T and Bullo , F . 2004 . Coverage Control for Mobile Sensing Networks . IEEE Transaction on Robotics and Automation , 20 : 243 – 255 .
   Google Scholar
• Do , KD and Pan , J . 2007 . Nonlinear Formation Control of Unicycle-type Mobile Robots . Robotics and Autonomous Systems , 55 : 191 – 204 .
   Web of Science ®Google Scholar
• Fax , JA and Murray , RM . 2004 . Information Flow and Cooperative Control of Vehicle Formation . IEEE Transactions on Automatic Control , 49 : 1465 – 1476 .
   Web of Science ®Google Scholar
• Ghabcheloo , R . Pascoal, A., Silvestre, C., and Kaminer, I. (2005), ‘Coordinated Path Following Control of Multiple Wheeled Robots with Directed Communication Links’, in 44th IEEE Conference on Decision and Control, and the European Control Conference, Seville, Spain, 12–15 December, Institute of Electrical and Electronic Engineer Computer Society, pp. 7084–7089
   Google Scholar
• Ghabcheloo , R , Pascoal , A , Silvestre , C and Kaminer , I . 2007 . Nonlinear Coordinated Path Following Control of Multiple Wheeled Robots with Bidirectional Communication Constraints . International Journal of Adaptive Control and Signal Processing , 21 : 133 – 137 .
   Web of Science ®Google Scholar
• Ihle , IF , Arack , M and Fossen , TI . 2007 . Passivity-based Designs for Synchronized Path Following . Automatica , 43 : 1508 – 1518 .
   Web of Science ®Google Scholar
• Justh , EW . and Krishnaprasad, P.S. (2003), ‘Steering Laws and Continuum Models for Planar Formations’, in 42nd IEEE conference on Decision and Control, Maui, HI, USA, 9–12 December, Institute of Electrical and Electronics Engineers Inc., pp. 3609–3614
   Google Scholar
• Khalil , HK . 1996 . Nonlinear Systems, , 2nd , 322 – 324 . Upper Saddle River, NJ : Prentice-Hall .
   Google Scholar
• Lan , Y , Yan , GF and Lin , ZY . 2010 . Distributed Control of Cooperative Target Enclosing Based on Reachability and Invariance Analysis . Systems and Control Letters , 59 : 381 – 389 .
   Web of Science ®Google Scholar
• Lin , ZY , Francis , B and Maggiore , M . 2005 . Necessary and Sufficient Graphical Conditions for Formation Control of Unicycles . IEEE Transactions on Automatic Control , 50 : 121 – 127 .
   Web of Science ®Google Scholar
• Micaelli , A . and Samson, C. (1993), ‘Trajectory Tracking for Unicycle-type and Two-steering-wheels Mobile Robots’, INRIA Report 2097
   Google Scholar
• Olfati-Saber , R . 2006 . Flocking for Multi-agent Dynamic Systems: Algorithms and Theory . IEEE Transaction on Automatic Control , 52 : 401 – 420 .
   Google Scholar
• Paley , DA , Leonard , NE and Sepulchre , R . 2008 . Stabilization of Symmetric Formation to Motion Around Convex Loops . Systems and Control Letters , 57 : 209 – 215 .
   Web of Science ®Google Scholar
• Pilshain , CH , Lehmann , C , Paduan , B and Silver , MW . 1998 . Spatial and Temporal Dynamics in Marine Aggregate Abundance, Sinking Rate and Flux: Monterey Bay, Ventral California . Deep-Sea Research, Part 2: Topical Studies in Oceanography , 45 : 1803 – 1837 .
   Google Scholar
• Ren , W . 2007 . Consensus Strategies for Cooperative Control of Vehicle Formations . IET Control Theory and Applications , 1 : 505 – 512 .
   Web of Science ®Google Scholar
• Skjetne , R . Moi, S., and Fossen, T.I. (2003), ‘Formation Control by Synchronizing Multiple Maneuvering Systems’, in 6th IFAC Conference on Maneuvering and Control of Marine Crafts, Girona, Spain, 17–19 September 2003, Oxford: Elsevier Science, pp. 280–285
   Google Scholar
• Soetanto , D . Lapierre, L., and Pascoal, A. (2003), ‘Adaptive, Non-singular Path Following, Control of Dynamic Wheeled Robots’, in 42nd IEEE Conference on Decision and Control, Maui, HI, USA, 9–12 December 2003, Institute of Electrical and Electronics Engineers Inc., pp. 1765–1770
   Google Scholar
• Zhang , F , Fratantoni , DM , Paley , DA , Lund , J and Leonard , NE . 2007 . Control of Coordinated Patterns for Ocean Sampling . International Journal of Control , 80 : 1186 – 1199 .
   Web of Science ®Google Scholar
• Zhang , F and Leonard , NE . 2007 . Coordinated Patterns of Unit Speed Particles on a Closed Curve . System and Control Letters , 56 : 397 – 407 .
   Web of Science ®Google Scholar