摘要
本文在对乒乓球与球台/球拍反弹过程的受力、冲量、冲量矩分析的基础上,提出"临界摩擦角"的概念,并利用"临界摩擦角"给出乒乓球与球台/球拍之间是滚动还是滑动的判定条件,从而进一步得到乒乓球与球台/球拍之间的物理反弹模型.另外,通过学习算法,利用多元线性回归得到了一种反弹模型.最后通过参数估计、试验验证、误差分析,证明了两种反弹模型的有效性.
Based on the stress, impulse, and impulse moment received by a spinning table tennis ball from the ta- ble/racket in the rebound process, a concept of ＇critical friction angle＇ is introduced and a criterion is put forward to distinguish the types of the friction effects, thus a physical rebound model is built. In addition, a linear rebound model is obtained through the learning algorithm and multiple linear regressions. Experiments and the error analysis validate the effectiveness of the two rebound models.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2012年第11期1433-1439,共7页
Control Theory & Applications
基金
国家自然科学基金资助项目(61075035
61273337)
关键词
乒乓球机器人
反弹模型
临界摩擦角
多元线性回归
参数估计
table tennis robot
rebound model
critical friction angle
multiple linear regressions
parameter estimation
