Title: Using zero moment point preview control formulation to generate nonlinear trajectories of walking patterns on humanoid robots

Authors: Yunn-Lin Hwang; Thi-Na Ta; Kun-Nan Chen

Addresses: Department of Mechanical Design Engineering, National Formosa University, No. 64, Wunhua Rd., Huwei Township, Yunlin County 632, Taiwan ' Institute of Mechanical and Electro-Mechanical Engineering, National Formosa University, No. 64, Wunhua Rd., Huwei Township, Yunlin County 632, Taiwan ' Department of Mechanical Engineering, Tungnan University, New Taipei City 22202, Taiwan

Abstract: This paper designs a desired zero moment point (ZMP) trajectory and creates a centre of mass (CoM) trajectory based on this ZMP, in order to solve the problem of generating nonlinear trajectories of walking pattern instability of a humanoid robot. The preview control formulation which follows the planned ZMP patterns while reducing the jerk (acceleration derivation) is considered to implement this trajectory. The walking pattern for bipedal robot is generated by using a cart-table model. After that, the hip and foot trajectories planning that make the robot walk smoothly on the different ground conditions are proposed by using the cycloid function. According to these trajectories, the position of each leg joint of humanoid robot could be determined by inverse kinematics. Then, computer simulations are performed by utilising RecurDyn and MATLAB softwares to validate the proposed preview control formulation for the nonlinear walking patterns generation of a bioloid humanoid robot. Finally, an experimental analysis with the real bioloid robot is also described in this paper.

Keywords: centre of mass; CoM; humanoid robot; zero moment point; ZMP; cart-table model; preview control; CoM Jacobian.

DOI: 10.1504/IJES.2018.095748

International Journal of Embedded Systems, 2018 Vol.10 No.6, pp.470 - 483

Received: 09 Dec 2015
Accepted: 17 May 2016

Published online: 22 Oct 2018 *

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