Dynamic Performance, Mobility, and Agility of Multilegged Robots

Background. This article presents a method for describing the dynamic performance of multilegged robots. It involves examining how well the legged system uses ground contact to produce acceleration of its body; these abilities are referred to as its force and acceleration capabilities. These capabilities are bounded by actuator torque limits and the no-slip condition. Method of Approach. The approach followed here is based on the dynamic capability equations, which are extended to consider frictional ground contact as well as the changes in degrees-of-freedom that occurs as the robot goes into and out of contact with the ground. Results. The analysis describes the maximum translational and rotational accelerations of the main-body that are guaranteed to be achievable in every direction without causing slipping at the contact points or saturating an actuator. Conclusion. This analysis provides a description of the mobility and agility of legged robots. The method is illustrated using a hexapod as an example.

[1]  David E. Stewart,et al.  Rigid-Body Dynamics with Friction and Impact , 2000, SIAM Rev..

[2]  Mark R. Cutkosky,et al.  DYNAMIC SIMULATION AND ANALYSIS OF A PASSIVELY SELF-STABILIZING HEXAPEDAL RUNNING ROBOT , 2004 .

[3]  José António Tenreiro Machado,et al.  Performance analysis of multi-legged systems , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[4]  Jorge Angeles,et al.  The concept of dynamic isotropy and its applications to inverse kinematics and trajectory planning , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[5]  Zhen Huang,et al.  The accordance and optimization-distribution equations of the over-determinate inputs of walking machines☆ , 1994 .

[6]  Zhen Huang,et al.  Dynamic performance analysis of six-legged walking machines , 2000 .

[7]  David E. Orin,et al.  Optimal force distribution in multiple-chain robotic systems , 1991, IEEE Trans. Syst. Man Cybern..

[8]  Imin Kao,et al.  Modeling of Contact Mechanics and Friction Limit Surfaces for Soft Fingers in Robotics, with Experimental Results , 1999, Int. J. Robotics Res..

[9]  Kenneth J. Waldron,et al.  Force and motion management in legged locomotion , 1986, 1985 24th IEEE Conference on Decision and Control.

[10]  S J Zhang,et al.  Multilegged walker design—the joint torque versus workspace compromise , 1997 .

[11]  Y. Kim,et al.  The Definition, Determination, and Characterization of Acceleration Sets for Spatial Manipulators , 1993, Int. J. Robotics Res..

[12]  Alan P. Bowling,et al.  Dynamic performance as a criterion for redundant manipulator control , 2004, 2004 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) (IEEE Cat. No.04CH37566).

[13]  Oussama Khatib,et al.  The dynamic capability equations: a new tool for analyzing robotic manipulator performance , 2005, IEEE Transactions on Robotics.

[14]  E. Haug,et al.  Dynamics of mechanical systems with Coulomb friction, stiction, impact and constraint addition-deletion—I theory , 1986 .

[15]  Charles A. Klein,et al.  Force interaction and allocation for the legs of a walking vehicle , 1987, IEEE Journal on Robotics and Automation.

[16]  Takayoshi Yamada,et al.  Identification of contact conditions from contaminated data of contact force and moment , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[17]  Charles A. Klein,et al.  Optimal force distribution for the legs of a walking machine with friction cone constraints , 1990, IEEE Trans. Robotics Autom..

[18]  Oussama Khatib,et al.  Inertial Properties in Robotic Manipulation: An Object-Level Framework , 1995, Int. J. Robotics Res..

[19]  Qiang Huang,et al.  Analysis of physical capability of a biped humanoid: walking speed and actuator specifications , 2001, Proceedings 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems. Expanding the Societal Role of Robotics in the the Next Millennium (Cat. No.01CH37180).

[20]  David E. Orin,et al.  Efficient formulation of the force-distribution equations for simple closed-chain robotic mechanisms , 1991, IEEE Trans. Syst. Man Cybern..

[21]  David E. Orin,et al.  Control of Force Distribution in Robotic Mechanisms Containing Closed Kinematic Chains , 1981 .

[22]  J. Rastegar,et al.  Optimal Synthesis of Robot Manipulators Based on Global Dynamic Parameters , 1992 .

[23]  H. Hemami,et al.  The inverted pendulum and biped stability , 1977 .

[24]  Fan-Tien Cheng,et al.  Optimal force distribution in multilegged vehicles , 1999, Robotica.

[25]  J Vertut,et al.  General design criteria for manipulators , 1981 .

[26]  David Howard,et al.  Optimization of legged robot locomotion by control of foot-force distribution , 2004 .

[27]  Komei Fukuda,et al.  Double Description Method Revisited , 1995, Combinatorics and Computer Science.

[28]  K. Kurien Issac,et al.  Minimum energy force distribution for a walking robot , 2001 .

[29]  D. T. Greenwood.  Principles of dynamics , 1965 .

[30]  H. Asada,et al.  A Geometrical Representation of Manipulator Dynamics and Its Application to Arm Design , 1983 .

[31]  Tsuneo Yoshikawa,et al.  Dynamic manipulability of robot manipulators , 1985, Proceedings. 1985 IEEE International Conference on Robotics and Automation.

[32]  Robert B. McGhee,et al.  Adaptive Locomotion of a Multilegged Robot over Rough Terrain , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[33]  B. Siciliano,et al.  Reformulation of dynamic manipulability ellipsoid for robotic manipulators , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[34]  Bruce H. Krogh,et al.  The acceleration radius: a global performance measure for robotic manipulators , 1988, IEEE J. Robotics Autom..

[35]  Pablo González de Santos,et al.  A new legged-robot configuration for research in force distribution , 2003 .

[36]  Vijay R. Kumar,et al.  Force distribution in closed kinematic chains , 1988, IEEE J. Robotics Autom..