%% File: refs.bib %% Last Modified: 3/4/2005 %% By: Randy Beard %% %% BibTex database for research references %% @STRING{ACC = "Proceedings of the American Control Conference"} @STRING{CDC = "Proceedings of the {IEEE} Conference on Decision and Control"} @STRING{GNC = "Proceedings of the {AIAA} Guidance, Navigation and Control Conference"} @STRING{TCST = "{IEEE} Transactions on Control Systems Technology"} @STRING{TAC = "{IEEE} Transactions on Automatic Control"} @STRING{TRA = "{IEEE} Transactions on Robotics and Automation"} @STRING{TROB = "{IEEE} Transactions on Robotics"} @STRING{TSMC = "{IEEE} Transactions on Systems, Man, and Cybernetics"} @STRING{ARC = "Automation and Remote Control"} @STRING{JOTA = "Journal of Optimization Theory and Applications"} @STRING{JGCD = "{AIAA} Journal of Guidance, Control and Dynamics"} @STRING{SIAM = "{S}{I}{A}{M} Journal on Control and Optimization"} @STRING{ICRA = "Proceedings of the {IEEE} International Conference on Robotics and Automation"} %%A @ARTICLE{AbbottMcLainBeard01, AUTHOR = "Richard D. Abbott and Timothy W. McLain and Randal W. Beard", TITLE = "Validation of a Synthesis Technique for the Optimal Control of an Electro-hydraulic Positioning System", JOURNAL = "ASME Journal of Dynamic Systems, Measurement, and Control", YEAR = "2001", VOLUME = "123", MONTH = "September", ABSTRACT = " Keywords: Comments: ", } %%B @INPROCEEDINGS{BalkcomMason00, AUTHOR = "Devin J. Balkcom and Matthew T. Mason", TITLE = "Extremal Trajectories for Bounded Velocity Differential Drive Robots", BOOKTITLE = "Proceedings of the IEEE International Conference on Robotics and Automation", YEAR = "2000", ADDRESS = "San Francisco", PAGES = "2479--2484", MONTH = "April", ABSTRACT = " Keywords: mobile robots differential drive nonholonomic time optimal point and shoot Pontryagin's Maximum principle Comments: This paper argues via the Pontryagin maximum principle that rotations and straight lines are optimal maneuvers for differential drive mobile robots. In other words, to move from one position and orientation to another in optimal time, requires a series of pure rotations and pure translations. Several simplifying assumptions are made to derive this result. First kinematic models are assumed, i.e., no mass. Second, it is assumed that infinite acceleration is possible. The robots are assumed to move at constant velocity throughout the maneuver: starts and stops are considered instantaneous. ", } %%C %%D %%E %%F %%G %%H %%I %%J %%K %%L %%M %%N %%O %%P %%Q %%R %%S %%T %%U %%V %%W %%X %%Y %%Z