In this paper, we propose a geometric integrator for nonholonomic mechanical systems. It can be applied to discrete Lagrangian systems specified through a discrete Lagrangian Ld : Q × Q → R, where Q is the configuration manifold, and a (generally nonintegrable) distribution D ⊂ TQ. In the proposed method, a discretization of the constraints is not required. We show that the method preserves the...

The subject of this chapter is the control problem for nonholonomic wheeled. Of geometric smoothness is in general noduri alpinism pdf required for nonholonomic robots. Nev.Mobile robots did not wait to know that they were nonholonomic to plan and. Of robot motion planning: as examples, in 1969, the mobile robot Shakey used. From a kinematic point of view, the main characteristic of wheeled rob...

The reduction and reconstruction of the dynamics of nonholonomic mechanical systems with symmetry are investigated. We have considered a more general framework of constrained hamiltonian systems since they appear in the reduction procedure. A reduction scheme in terms of the nonholonomic momentum mapping is developed. The reduction of the nonholonomic brackets is also discussed. The theory is i...

This paper applies the recently developed theory of discrete nonholonomic mechanics to the study of discrete nonholonomic left-invariant dynamics on Lie groups. The theory is illustrated with the discrete versions of two classical nonholonomic systems, the Suslov top and the Chaplygin sleigh. The preservation of the reduced energy by the discrete flow is observed and the discrete momentum conse...

In this paper, a new controller is proposed by using backstepping method for the trajectory tracking problem of nonholonomic dynamic mobile robots with nonholonomic constraints under the condition that there is a distance between the mass center and the geometrical center and the distance is unknown. And an adaptive feedback controller is also proposed for the case that some kinematic parameter...

This paper presents a sensor based algorithm for guiding a nonholonomic platform, such as a wheelchair, through a doorway. The controller uses information from a camera system and a laser range finder to perform image-based navigation. Simulations of the resultant switching controller are presented along with experimental results. A simple obstacle avoidance algorithm is also implemented on the...

We propose a systematic modelling of the nonholonomic mobile manipulators built from a robotic arm mounted on a wheeled mobile platform. We use the models derived to generalize the standard definition of manipulability to the case of mobile manipulators. The effects of mounting a robotic arm on a nonholonomic platform are shown through the analysis of the manipulability thus defined. Several ap...

A wheeled mobile manipulator system is modeled using Kane’s dynamic equations. Kane’s equations are constructed with minimum effort, are control oriented and provide both physical insight and fast simulations. The powerful tools of Kane’s approach for incorporating nonholonomic motion constraints and bringing noncontributing forces into evidence are exploited. Both nonholonomic constraints asso...

This paper develops a new, simple, general, and explicit form of the equations of motion for general constrained mechanical systems that can have holonomic and/or nonholonomic constraints that may or may not be ideal, and that may contain either positive semi-definite or positive definite mass matrices. This is done through the replacement of the actual unconstrained mechanical system, which ma...

This paper investigates the problem of global stabilization by state feedback for a class of uncertain nonholonomic systems in chained form with partial inputs saturation. By using input-state-scaling technique and backstepping recursive approach, a state feedback control strategy is presented. With the help of a switching control strategy, the designed controller renders that the states of clo...