Modeling and feedback control of nonholonomic mobile vehicles

A complete dynamic model of mobile vehicles moving on nonplanar surfaces under nonholonomic and dynamic constraints is presented. The kinematic control of such systems is examined, and the invariant manifold technique is introduced for steering a nonholonomic mobile vehicle to an invariant manifold which is relatively locally-locally controllable. A closed-loop control strategy based on the invariant manifold technique is formulated and applied to the control of nonholonomic vehicles. Tracking control of such vehicles is demonstrated with both holonomic and nonholonomic reference trajectories.<<ETX>>

[1]  James C. Alexander,et al.  On the Kinematics of Wheeled Mobile Robots , 1989, Int. J. Robotics Res..

[2]  Claude Samson,et al.  Feedback control of a nonholonomic wheeled cart in Cartesian space , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[3]  Gerardo Lafferriere,et al.  Motion planning for controllable systems without drift , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[4]  Kostas J. Kyriakopoulos,et al.  An integrated collision prediction and avoidance scheme for mobile robots in non-stationary environments , 1993, Autom..

[5]  C. Canudas de Wit,et al.  Exponential stabilization of mobile robots with nonholonomic constraints , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[6]  S. Sastry,et al.  Steering nonholonomic systems using sinusoids , 1990, 29th IEEE Conference on Decision and Control.

[7]  G. Campion,et al.  Modelling and state feedback control of nonholonomic mechanical systems , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[8]  Mahmut Reyhanoglu,et al.  Control and stabilization of nonholonomic Caplygin dynamic systems , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[9]  R. Brockett.  Control Theory and Singular Riemannian Geometry , 1982 .