一类Lagrange系统的PSM问题的进一步研究(英文)

Study on the Passive Stabilization of Motion of a Class of Lagrange System

中文关键词  非自治运动  平衡稳定性  非线性  广义力

英文关键词  passive stabilization  equilibrium  nonlinear  generalized force

中文摘要

      文献[1]第一次提出PSM思想, 得到了广泛的应用. 本文根据PSM思想, 建立一个具有特殊意义模型, 继文献[2]在非线性拉格朗日系统中, 解决具有非线性摩擦的PSM后, 进一步研究具有非线性摩擦和非弹性势能的PSM, 解决了模型的PSM控制.

英文摘要

      The idea of the passive stabilization of nonasymptotically stable motion of the dynamical systems by introducing supplementary degrees of freedom was advanced for the first time in paper. The effectiveness of the application to the study of Lagrangian system was shown in the specific example of this paper, which has the unique scientific significance. In the system nonlinear friction and inelastic potential energy are adopted. It was shown that the problem of the passive stabilization can be solved in the nonlinear case. It was shown that the problem of the passive stabilization can be solved in the nonlinear and inelastic potential in this paper.