Fractional Order PDαJoint Control of Legged Robots

This paper studies a fractional order proportional and derivative controller for a hexapod robot, having legs with three DoF and joint actuators with saturation, when walking over ground with varying properties. A simulation model is developed and the robot motion is characterized in terms of several locomotion variables. Two indices measure the walking performance based on the mean absolute density of energy per unit distance travelled and on the hip trajectory errors. A set of experiments reveal the influence of different controller tunings on the proposed indices, for different locomotion conditions.

[1]  J. A. Tenreiro Machado,et al.  Modeling and simulation of walking robots with 3 dof legs , 2006 .

[2]  Jun Song,et al.  A simplified hybrid force/position controller method for the walking robots , 1999, Robotica.

[3]  Tsukasa Ogasawara,et al.  Study of the toes role in human walk by toe elimination and pressure measurement system , 2003, SMC'03 Conference Proceedings. 2003 IEEE International Conference on Systems, Man and Cybernetics. Conference Theme - System Security and Assurance (Cat. No.03CH37483).

[4]  P. Gilbert.  How Animals Move , 1954 .

[5]  Xiuli Zhang,et al.  The CPG-based bionic quadruped system , 2003, SMC'03 Conference Proceedings. 2003 IEEE International Conference on Systems, Man and Cybernetics. Conference Theme - System Security and Assurance (Cat. No.03CH37483).

[6]  Karsten Berns,et al.  The mammalian-like quadrupedal walking machine BISAM , 1998, AMC'98 - Coimbra. 1998 5th International Workshop on Advanced Motion Control. Proceedings (Cat. No.98TH8354).

[7]  José António Tenreiro Machado,et al.  Time domain design of fractional differintegrators using least-squares , 2006, Signal Process..

[8]  J. Machado.  Analysis and design of fractional-order digital control systems , 1997 .

[9]  Tsu-Tian Lee,et al.  Fuzzy logic control of a planetary gear type walking machine leg , 1997, Robotica.

[10]  Enric Celaya,et al.  Force-Based Control of a Six-Legged Robot on Abrupt Terrain using the Subsumtion Architecture , 1995 .

[11]  José António Tenreiro Machado,et al.  Modelling and simulation of artificial locomotion systems , 2005, Robotica.

[12]  António M. Lopes,et al.  COMPARISON OF FRACTIONAL AND INTEGER ORDER CONTROL OF AN HEXAPOD ROBOT , 2003 .

[13]  I. Podlubny,et al.  On fractional derivatives, fractional-order dynamic systems and PI/sup /spl lambda//D/sup /spl mu//-controllers , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

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

[15]  Kenneth Kreutz-Delgado,et al.  Multibody dynamical algorithms, numerical optimal control, with detailed studies in the control of jet engine compressors and biped walking , 1999 .

[16]  Jean-Claude Guinot,et al.  Quadrupedal mammal locomotion dynamics 2D model , 2000, Proceedings. 2000 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2000) (Cat. No.00CH37113).

[17]  José António Tenreiro Machado,et al.  Complex-order dynamics in hexapod locomotion , 2006, Signal Process..

[18]  Tsu-Tian Lee,et al.  A Study of Fuzzy-Neural Force Control for a Quadrupedal Walking Machine , 1998 .

[19]  Adam C. Smith,et al.  Passive dynamic quadrupedal walking , 1997, Proceedings of International Conference on Robotics and Automation.

[20]  Igor Podlubny,et al.  On Fractional Derivatives, Fractional-Orlder Dynamic Systems and PIXD~-controllei~s , 1997 .

[21]  W. Ilg,et al.  Design criteria for the leg of a walking machine derived by biological inspiration from quadrupedal mammals , 2001 .

[22]  R. McN. Alexander,et al.  Three Uses for Springs in Legged Locomotion , 1990, Int. J. Robotics Res..

[23]  S. Knapp.  How Animals Move , 1995 .

[24]  Yong-San Yoon,et al.  Real-time dynamic simulation of quadruped using modified velocity transformation , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[25]  Rama B. Bhat.  Dynamic Response of Whole Body System Subjected to Walking Generated Excitation , 2003 .

[26]  J. J. Collins,et al.  Hard-wired central pattern generators for quadrupedal locomotion , 1994, Biological Cybernetics.

[27]  Cynthia Ferrell,et al.  A comparison of three insect-inspired locomotion controllers , 1995, Robotics Auton. Syst..