J4 ›› 2012, Vol. 9 ›› Issue (4): 411-422.doi: 10.1016/S1672-6529(11)60138-8

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Approximate Perturbation Stance Map of the SLIP Runner and Application to Locomotion Control

Haitao Yu, Mantian Li, Pengfei Wang, Hegao Cai   

  1. State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin 150080, P. R. China
  • 出版日期:2012-12-30
  • 通讯作者: Mantian Li E-mail:limt@hit.edu.cn

Approximate Perturbation Stance Map of the SLIP Runner and Application to Locomotion Control

Haitao Yu, Mantian Li, Pengfei Wang, Hegao Cai   

  1. State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin 150080, P. R. China
  • Online:2012-12-30
  • Contact: Mantian Li E-mail:limt@hit.edu.cn

摘要:

This paper presents a novel method of perturbation to obtain the analytic approximate solution to the Spring-Loaded Inverted Pendulum (SLIP) dynamics in stance phase with considering the effect of gravity. This perturbation solution achieves higher accuracy in predicting the apex state variables than the typical existing analytic approximations. Particularly, our solution is validated for non-symmetric trajectory of hopping in a large angle range. Furthermore, the stance controller of the SLIP runner is developed to regulate the apex state based on the approximate apex return map. To compensate the energy variation between the current and desired apex states, a stiffness adjustment of the leg spring in stance phase is presented. The deadbeat controller of the angle of attack is designed to track the regulated apex height and velocity. The simulation demonstrates that the SLIP runner applying the proposed stance controller reveals higher tracking accuracy and more rapidly converges to the regulated apex state.

关键词: legged locomotion, spring-loaded inverted pendulum, perturbation, apex return map, stiffness adjustment

Abstract:

This paper presents a novel method of perturbation to obtain the analytic approximate solution to the Spring-Loaded Inverted Pendulum (SLIP) dynamics in stance phase with considering the effect of gravity. This perturbation solution achieves higher accuracy in predicting the apex state variables than the typical existing analytic approximations. Particularly, our solution is validated for non-symmetric trajectory of hopping in a large angle range. Furthermore, the stance controller of the SLIP runner is developed to regulate the apex state based on the approximate apex return map. To compensate the energy variation between the current and desired apex states, a stiffness adjustment of the leg spring in stance phase is presented. The deadbeat controller of the angle of attack is designed to track the regulated apex height and velocity. The simulation demonstrates that the SLIP runner applying the proposed stance controller reveals higher tracking accuracy and more rapidly converges to the regulated apex state.

Key words: legged locomotion, spring-loaded inverted pendulum, perturbation, apex return map, stiffness adjustment