双足机器人被动行走的混沌运动分析  

Chaotic motion analysis of the passive walking of biped robot

作　　者：赵秋玲[1] 张君华[1] 

机构地区：[1]北京信息科技大学机电工程学院,北京100192

出　　处：《北京信息科技大学学报（自然科学版）》2013年第6期1-4,共4页Journal of Beijing Information Science and Technology University

基　　金：国家自然科学基金资助项目(11172047);国家自然科学青年基金资助项目(11002005)

摘　　要：在双足机器人沿小斜坡向下被动行走的问题中,考虑了双足和刚性双腿的质量对运动状态的影响。根据第二类拉格朗日方程,建立了行走的动力学模型。通过数值仿真得到系统的Lyapunov指数和Poincaré映射图。比较发现:如果不考虑双足和刚性双腿的质量,模型可以稳定行走的斜面倾斜角范围最大;考虑了双足和双腿的质量,模型可以稳定行走的斜面倾斜角范围变小;在同样倾斜角的斜面上,模型的运动状态可随着双足和双腿质量的增加而由周期变成混沌,最后变成不能稳定行走。The influence of the mass of two feet and two rigid legs on motion state is considered in a passive-walking of a biped robot. The dynamic model of the system is established according to Lagrange method. The Lyapunov exponents and Poincare maps are obtained according to simulating calculations. Compared with those original results, it is shown that the model can walk in a large ramp slope if the mass of feet and legs are ignored. At the same ramp slope, the state of motion changes from period to chaos and finally to unstable walking with the increase of the mass of feet and legs.

关 键 词：双足机器人 被动行走 混沌 LYAPUNOV指数 Poincare映射图 

分 类 号：O322[理学—一般力学与力学基础]