|A nonholonomic motion planner for mobile manipulators moving in cluttered environments is presented. The approach is based on a discontinous feedback law under the infuence of a special potential eld. Convergence is shown via Lyapunov's direct method. Utilizing redundancy, the methodology allows the system to perform secondary, connguration dependent, objectives such as singularity avoidance. ...

This paper presents a motion planner and nonholonomic controller for a mobile robot, with global collision avoidance and convergence properties. This closed loop approach combines appropriately designed (dipolar) potential fields with discontinuous feedback and is suitable for real time implementation. It makes use of a novel kind of Lyapunov functions which are useful for nonholonomic navigati...

The problem of controlling nonholonomic systems via dynamic state feedback and its structural aspects are analyzed. Advantages and drawbacks with respect to the use of static state feedback laws are discussed. In particular, nonholonomic constraints are shown to yield possible singularities in the dynamic extension process. Nevertheless, these singularities can be avoided by the proper design o...

This paper presents a method for navigating a nonholonomic autonomous mobile robot in a workshop based on a global vision system. In order to deal with uncertainty in the environment, a fuzzy logic strategy is used to represent mobile robot navigation behavior. The method is implemented on a nonholonomic mobile robot in IRP in Germany, and some experimental operations are performed to demonstra...

We present a new and complete multi-level approach for solving path planning problems for nonholonomic robots. At the rst level a path is found that disrespects (some of) the nonholonomic constraints. At each next level a new path is generated, by transformation of the path generated at the previous level. The transformation is such that more nonholonomic constraints are respected than at the p...

Fractional dynamics of relativistic particle is discussed. Derivatives of fractional orders with respect to proper time describe long-term memory effects that correspond to intrinsic dissipative processes. Relativistic particle subjected to a non-potential four-force is considered as a nonholonomic system. The nonholonomic constraint in fourdimensional space-time represents the relativistic inv...

This paper is devoted to a unified approach to trajectory tracking control of nonholonomic port-controlled Hamiltonian systems via generalized canonical transformations. The key idea is to construct an error system, which describes the dynamics of the tracking error, by a passive port-controlled Hamiltonian system. This strategy works for both holonomic and nonholonomic port-controlled Hamilton...

This paper is devoted to a unified approach to trajectory tracking control of nonholonomic port-controlled Hamiltonian systems via generalized canonical transformations. The basic strategy of this approach is to construct an error system, which describes the dynamics of the tracking error, by a passive port-controlled Hamiltonian system. This technique works for both holonomic and nonholonomic ...