1,720,967 research outputs found

    Cyclic control of linear systems: theory and experimental implementation on a flexible arm

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    A new type of servosystem is introduced and named cyclic control. The control algorithm presented allows the execution of cycles defined by positions to be attained at given time instants. The cycle starts and ends at the same position and has to be repeated over and over in time. Differently from repetitive control and learning control, where exact trajectory tracking is considered, the control problem herein formulated cares only for positions. This allows the development of a finite dimensional control scheme which does not need system re-initialization at each trial, since the new trial starts from the point reached at the end of the previous one. Control scheme design is explicitly addressed and an implementation on a flexible arm presente

    A finite element approach to kinetic energy discretization of deformable bodies in quasi‐rigid motion

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    In this paper a finite element technique for the discretization of kinetic energy of bodies subjected to large rigid motion and small deformation (which we refer to as quasi-rigid motion) is presented. First, on the basis of a separation between the rigid displacement and the deformation, the relevant kinematic relationships are derived. A standard assumed-mode approach is used to describe the deformation displacement field by a linear combination of known functions. Then, the computation of the kinetic energy leads to the definition of a set of tensors, which are configuration-independent (like the mass matrix in a linear setting) and fully characterize the body non-linear dynamic behaviour introduced by large rotation. A computer code has been developed, in order to extend an existing FE package, for the computation of these tensors. Details of the technique, including storage requirements and suggestions for model reduction, are given. Finally, two examples are presented: (i) the result of the computation of one of the introduced tensors; (ii) the development of the non-linear model of a rotating beam
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