In this paper we present some additional results regarding the pumpingdamping strategy for swinging up a pendulum introduced in (Åström et al., 2005). Here, the family of energy functions is enlarged and the corresponding pumpingdamping functions are proposed giving rise to new smooth controllers that swing up and stabilize the pendulum. Furthermore, a generalization of the stability criterion ...

A kind of swing micro-mirror structure with high stability for gravitational wave observatory in space is proposed this paper. As the key interface instrument observatory, plays a very important role. Firstly, 3D model mechanism designed and established. Then, solution method index stability, pointing jitter, researched. After that, thermal first-order natural frequency are researched via finit...

The following biomechanics project was designed to be a review of literature related to the most important skill in volleyball, the overhead spike, or attack. The literature has been reviewed and select articles dealing with the various components of the overhead spike are presented as exemplary and representative of the kids of biomechanical analyses that are available. Though not exhaustive i...

Capturability of a robot determines whether it is able to capture a robot within a number of steps. Current capturability analysis is based on stance leg dynamics, without taking adequate consideration on swing leg. In this paper, we combine capturability-based analysis with swing leg dynamics. We first associate original definition of capturability with a timemargin, which encodes a time seque...

Qualitative analysis of a pendulum with a periodically varying length is conducted. It is proved that there are two periodic solutions having a prescribed amplitude A(n and a period 1 which is an even multiple k of the excitation period. Stability analysis is carried out for the principal parametric oscillations (k"2). In this connection it is shown that such a pendulum cannot serve as a mathem...