Analysis of typical locomotion of a symmetric hexapod robot

In recent years hexagonal hexapod robots gained the interest of international research community. The aim of this paper is twofold. First, after summarizing all known gaits of such robots, we introduce some improvements both for normal conditions and for fault tolerance. Then we show the advantages of hexagonal hexapod robots over rectangular ones by comparing different gaits from theoretical and experimental points of view. Stability, fault tolerance, turning ability, and terrain adaptability are analyzed. For reaching these aims we also introduce a robot kinematics that considers at the same time supporting and transferring legs. The trajectories of feet are described as well. Finally, single leg stride selection is studied for side wave and for kick-off gaits to optimize walking ability and energy management. The theoretical results presented herein have been validated with experiments conducted on a prototype of the Novel Robotics System for Planetary Exploration (Rovetta et al., “New Robot Concepts for Mars Soil Exploration: Mechanics and Functionality,” ASTRA 2004, Eighth ESA Workshop on Advanced Space Technologies for Robotics and Automatian, Nordwijk, The Netherlands Nov. 2–4, 2004) (NOROS), developed by Politecnico di Milano and Beijing University of Astronautics and Aeronautics, and the results are summarized in this paper.

[1]  Jung-Min Yang,et al.  A strategy of optimal fault tolerant gait for the hexapod robot in crab walking , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[2]  Kenzo Nonami,et al.  Humanitarian mine detecting six-legged walking robot and hybrid neuro walking control with position/force control , 2003 .

[3]  Minoru Abe,et al.  A hexapod walking machine with decoupled freedoms , 1985, IEEE J. Robotics Autom..

[4]  H. Thomas,et al.  Planning strategies for the Ambler walking robot , 1990, 1990 IEEE International Conference on Systems Engineering.

[5]  Shin-Min Song,et al.  The optimally stable ranges of 2n-legged wave gaits , 1990, IEEE Trans. Syst. Man Cybern..

[6]  Shigeo Hirose,et al.  Generalized Standard Leg Trajectory for Quadruped Walking Vehicle , 1989 .

[7]  Vijay Kumar,et al.  Motion Planning and Control of Robots , 2007 .

[8]  Jung-Min Yang,et al.  Fault-tolerant locomotion of the hexapod robot , 1996, IEEE Trans. Syst. Man Cybern. Part B.

[9]  Tatsuo Arai,et al.  Hexapod with integrated limb mechanism of leg and arm , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.

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

[11]  Takeo Kanade,et al.  Ambler: an autonomous rover for planetary exploration , 1989, Computer.

[12]  Daniel E. Koditschek,et al.  RHex: A Simple and Highly Mobile Hexapod Robot , 2001, Int. J. Robotics Res..

[13]  Hakan B. Gürocak,et al.  Design of a robot that walks in any direction , 1998, J. Field Robotics.

[14]  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).

[15]  Shigeo Hirose,et al.  Three-legged walking for fault tolerant locomotion of a quadruped robot with demining mission , 2000, Proceedings. 2000 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2000) (Cat. No.00CH37113).

[16]  R. Full,et al.  Differential leg function in a sprawled-posture quadrupedal trotter , 2006, Journal of Experimental Biology.

[17]  Kemal Leblebicioglu,et al.  Free gait generation with reinforcement learning for a six-legged robot , 2008, Robotics Auton. Syst..

[18]  Jung-Min Yang.  Fault-tolerant gait generation for locked joint failures , 2003, SMC'03 Conference Proceedings. 2003 IEEE International Conference on Systems, Man and Cybernetics. Conference Theme - System Security and Assurance (Cat. No.03CH37483).

[19]  David E. Orin,et al.  Quadratic optimization of force distribution in walking machines , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[20]  Enric Celaya,et al.  Reactive free-gait generation to follow arbitrary trajectories with a hexapod robot , 2004, Robotics Auton. Syst..

[21]  Kenji Suzuki,et al.  Gait and foot trajectory planning for versatile motions of a six-legged robot , 1997, J. Field Robotics.

[22]  Shigeo Hirose,et al.  Research on a six-legged walking robot with parallel mechanism , 1998, Proceedings. 1998 IEEE/RSJ International Conference on Intelligent Robots and Systems. Innovations in Theory, Practice and Applications (Cat. No.98CH36190).

[23]  David E. Orin,et al.  Omnidirectional supervisory control of a multilegged vehicle using periodic gaits , 1988, IEEE J. Robotics Autom..

[24]  Pablo González de Santos,et al.  Free Gaits for Quadruped Robots over Irregular Terrain , 2002, Int. J. Robotics Res..

[25]  K. H. Low,et al.  Modular formulation for dynamics of multi-legged robots , 1997, 1997 8th International Conference on Advanced Robotics. Proceedings. ICAR'97.

[26]  David E. Orin,et al.  The kinematics of motion planning for multilegged vehicles over uneven terrain , 1988, IEEE J. Robotics Autom..

[27]  Manuel Armada,et al.  A six-legged robot-based system for humanitarian demining missions , 2007 .

[28]  Kan Yoneda,et al.  Gait and foot trajectory planning for versatile motions of a six legged robot , 1997 .

[29]  Pablo González de Santos,et al.  Generating continuous free crab gaits for quadruped robots on irregular terrain , 2005, IEEE Transactions on Robotics.

[30]  Bo-Hee Lee,et al.  The implementation of the gaits and body structure for hexapod robot , 2001, ISIE 2001. 2001 IEEE International Symposium on Industrial Electronics Proceedings (Cat. No.01TH8570).

[31]  Russ Tedrake,et al.  Inverse Kinematics for a Point-Foot Quadruped Robot with Dynamic Redundancy Resolution , 2007, Proceedings 2007 IEEE International Conference on Robotics and Automation.

[32]  Kemal Leblebicioglu,et al.  Torque Distribution in a Six-Legged Robot , 2007, IEEE Transactions on Robotics.

[33]  Grantham Pang,et al.  Comparison between different model of hexapod robot in fault-tolerant gait , 2002, IEEE Trans. Syst. Man Cybern. Part A.

[34]  Alberto Rovetta,et al.  Structure Design and Locomotion Analysis of a Novel Robot for Lunar Exploration , 2007 .

[35]  Teodiano Bastos,et al.  SLAM-based robotic wheelchair navigation system designed for confined spaces , 2010, 2010 IEEE International Symposium on Industrial Electronics.

[36]  E. Kugushev,et al.  Problems of Selecting A Galt For An Integrated Locomotion Robot , 1975, IJCAI.

[37]  P. Menezes,et al.  FED-the free body diagram method. Kinematic and dynamic modeling of a six leg robot , 1998, AMC'98 - Coimbra. 1998 5th International Workshop on Advanced Motion Control. Proceedings (Cat. No.98TH8354).

[38]  Kazuo Tsuchiya,et al.  Adaptive gait pattern control of a quadruped locomotion robot , 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).

[39]  Tsu-Tian Lee,et al.  On the stability properties of hexapod tripod gait , 1988, IEEE J. Robotics Autom..

[40]  Jung-Min Yang,et al.  Optimal fault tolerant gait sequence of the hexapod robot with overlapping reachable areas and crab walking , 1999, IEEE Trans. Syst. Man Cybern. Part A.

[41]  Ayanna M. Howard,et al.  Intelligence For Space Robotics , 2008 .

[42]  E. Krotkov,et al.  Ambler: a six-legged planetary rover , 1991, Fifth International Conference on Advanced Robotics 'Robots in Unstructured Environments.

[43]  Pablo González de Santos,et al.  Improving walking-robot performances by optimizing leg distribution , 2007, Auton. Robots.

[44]  A. Rovetta,et al.  New Robot Concept for Mars soil Exploration: mechanics and functionality , 2004 .

[45]  A. Rovetta.  New Progress on the Novel Robotics Systems for Moon Exploration , 2007 .

[46]  Tatsuo Arai,et al.  Development of multi-limb robot with omnidirectional manipulability and mobility , 2000, Proceedings. 2000 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2000) (Cat. No.00CH37113).

[47]  Tatsuo Arai,et al.  Omni-directional gait of multi-legged rescue robot , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[48]  A. Preumont,et al.  Gait analysis and implementation of a six leg walking machine , 1991, Fifth International Conference on Advanced Robotics 'Robots in Unstructured Environments.

[49]  Horacio Martinez-Alfaro,et al.  Kinematic simulator for an insect-like robot , 2003, SMC'03 Conference Proceedings. 2003 IEEE International Conference on Systems, Man and Cybernetics. Conference Theme - System Security and Assurance (Cat. No.03CH37483).

[50]  Jung-Min Yang,et al.  A fault tolerant gait for a hexapod robot over uneven terrain , 2000, IEEE Trans. Syst. Man Cybern. Part B.