Stabilization of trajectories for systems with nonholonomic constraints

作者: G. Walsh , D. Tilbury , S. Sastry , R. Murray , J.-P. Laumond

DOI: 10.1109/ROBOT.1992.219987

关键词: RobotStability (learning theory)Open-loop controllerMobile robotNonholonomic systemControl systemNonlinear systemControl theoryEngineeringTrajectory

摘要: … In the following sections, we apply this control law to various nonholonomic systems, … mobile robot called Hilare, and a front wheel drive car. In the examples, we focus on mobile robots …

参考文章(9)
R. W. Brockett, Control Theory and Singular Riemannian Geometry Springer, New York, NY. pp. 11- 27 ,(1982) , 10.1007/978-1-4612-5651-9_2
J.-P. Laumond, R. Murray, S. Sastry, G. Walsh, D. Tilbury, Steering car-like systems with trailers using sinusoids international conference on robotics and automation. pp. 1993- 1998 ,(1992) , 10.1109/ROBOT.1992.219988
James Reeds, Lawrence Shepp, Optimal paths for a car that goes both forwards and backwards. Pacific Journal of Mathematics. ,vol. 145, pp. 367- 393 ,(1990) , 10.2140/PJM.1990.145.367
J.-P. Laumond, Controllability of a multibody mobile robot international conference on robotics and automation. ,vol. 9, pp. 755- 763 ,(1993) , 10.1109/70.265919
R.M. Murray, S.S. Sastry, Steering nonholonomic systems using sinusoids conference on decision and control. pp. 2097- 2101 ,(1990) , 10.1109/CDC.1990.203994
V. Cheng, A direct way to stabilize continuous-time and discrete-time linear time-varying systems IEEE Transactions on Automatic Control. ,vol. 24, pp. 641- 643 ,(1979) , 10.1109/TAC.1979.1102101
C.C. de Wit, O.J. Sordalen, Exponential stabilization of mobile robots with nonholonomic constraints IEEE Transactions on Automatic Control. ,vol. 37, pp. 1791- 1797 ,(1992) , 10.1109/9.173153
R. W. Brockett, Asymptotic stability and feed back stabilization Differential Geometric Control Theory Progress in Mathematics. ,vol. 27, pp. 181- 191 ,(1983)
C. Canudas de Wit, O.J. Sordalen, Exponential stabilization of mobile robots with nonholonomic constraints conference on decision and control. pp. 692- 697 ,(1991) , 10.1109/CDC.1991.261398