Quasi Optimal Gait of a Biped Robot with a Rolling Knee Kinematic

Abstract In this paper, we address the problem of optimization of trajectories for a new class of biped robot. The knees of this biped are similar as the anthropomorphic one and have a rolling contact between the femur and the tibia. The robot has seven mechanical links and six actuators. The walking gait considered is a succession of single support phase (SSP) and impact of the mobile foot with the ground. Cubic uniform spline functions defined on a time interval express the gait for one step. An energy consumption function and a torques quadratic function are used to compare the new robot with anthropomorphic knees to a conventional robot with revolute joint knees. The minimization of the criteria is made with simplex algorithm. The physical constraints concerning the ZMP and the mobile foot behavior are respectively checked to make a step. Simulation results show that the energy consumption of the new biped with rolling knee contact is less than that of the robot with revolute joint knees.

[1]  Carlos Canudas-de-Wit,et al.  Generation of energy optimal complete gait cycles for biped robots , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[2]  Yannick Aoustin,et al.  Optimal reference trajectories for walking and running of a biped robot , 2001, Robotica.

[3]  Martin Buss,et al.  Compliance in gait synthesis: Effects on energy and gait , 2008, Humanoids 2008 - 8th IEEE-RAS International Conference on Humanoid Robots.

[4]  Tad McGeer,et al.  Passive Dynamic Walking , 1990, Int. J. Robotics Res..

[5]  Gabriel Abba,et al.  Quasi optimal gait for a biped robot using genetic algorithm , 1997, 1997 IEEE International Conference on Systems, Man, and Cybernetics. Computational Cybernetics and Simulation.

[6]  Martijn Wisse,et al.  A Three-Dimensional Passive-Dynamic Walking Robot with Two Legs and Knees , 2001, Int. J. Robotics Res..

[7]  Jong Hyeon Park,et al.  Generation of an Optimal Gait Trajectory for Biped Robots Using a Genetic Algorithm , 2004 .

[8]  Jeffrey C. Lagarias,et al.  Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions , 1998, SIAM J. Optim..

[9]  Nima Shafii,et al.  Evolution of Biped Walking Using Truncated Fourier Series and Particle Swarm Optimization , 2009, RoboCup.

[10]  David Tlalolini Romero.  Génération de mouvements optimaux de marche pour des robots bipèdes 3D , 2008 .

[11]  Giuseppina C. Gini,et al.  Advanced steps in biped robotics: innovative design and intuitive control through spring-damper actuator , 2004, 4th IEEE/RAS International Conference on Humanoid Robots, 2004..

[12]  Yannick Aoustin,et al.  Comparison of different gaits with rotation of the feet for a planar biped , 2009, Robotics Auton. Syst..

[13]  Bruce E. Hajek,et al.  Cooling Schedules for Optimal Annealing , 1988, Math. Oper. Res..

[14]  Guy Bessonnet,et al.  Biped robots: Correlations between technological design and dynamic behavior , 1997 .

[15]  Yannick Aoustin,et al.  Bipedal Robots and Walking , 2009 .

[16]  Franck Plestan,et al.  Stable walking of a 7-DOF biped robot , 2003, IEEE Trans. Robotics Autom..

[17]  Ting-Ying Wu,et al.  Optimal design and implementation of an energy-efficient, semi-active biped , 2008, 2008 IEEE International Conference on Robotics and Automation.

[18]  Giuseppina C. Gini,et al.  LARP, Biped Robotics Conceived as Human Modelling , 2005, Biomimetic Neural Learning for Intelligent Robots.

[19]  Guy Bessonnet,et al.  An anthropomorphic biped robot: dynamic concepts and technological design , 1998, IEEE Trans. Syst. Man Cybern. Part A.

[20]  Mark W. Spong,et al.  Robot dynamics and control , 1989 .

[21]  Wisama Khalil,et al.  Modeling, Identification and Control of Robots , 2003 .

[22]  Yuji Harata,et al.  Optimal trajectory design for parametric excitation walking , 2009, 2009 IEEE/RSJ International Conference on Intelligent Robots and Systems.