Abstract
This paper studies the performance of integer and fractional order controllers in a hexapod robot with joints at the legs having viscous friction and flexibility. For that objective the robot prescribed motion is characterized in terms of several locomotion variables. The walking performance is analysed through the Nyquist stability criterion and several indices that reflect the system dynamical properties. A set of model-based experiments reveals the influence of the different controller implementations upon the proposed metrics.
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Manko, D. J. A., General Model of Legged Locomotion on Natural Terrain, Kluwer, Dordrecht, The Netherlands, 1992.
Song, S.-M. and Waldron, K. J., Machines that Walk: The Adaptive Suspension Vehicle, MIT Press, Cambridge, Massachusetts, 1989.
McGeer, T., ‘Passive dynamic walking’, International Journal of Robotics Research 9, 1990, 62–82.
Smith, A. C. and Berkemeier, M. D., ‘Passive dynamic quadrupedal walking ’, in Proceedings IEEE International Conference on Robotics and Automation, Albuquerque, New Mexico, 1997, pp. 34–39.
Tsai, C.-R. and Lee, T.-T., ‘A study of fuzzy-neural force control for a quadrupedal walking machine ’, Journal of Dynamic Systems, Measurement and Control 120, 1998, 124–133.
Birch, M. C., Quinn, R. D., Hahm, G., Phillips, S. M., Drennan, B., Fife, A., Verma, H., and Beer, R. D., ‘Design of a Cricket Microrobot ’, In Proceedings IEEE International Conference on Robotics and Automation, 2000, pp. 1109–1114.
Tsai, C.-R., Lee, T.-T., and Song, S.-M., ‘Fuzzy logic control of a planetary gear type walking machine leg ’, Robotica 15, 1997, 533–546.
Collins, J. J. and Richmond, S. A., ‘Hard-wired central pattern generators for quadrupedal locomotion ’, Biological Cybernetics 71, 1994, 375–385.
Zhifeng, C., Xiuli, Z., Haojun, Z., and Liyao, Z., ‘The CPG-based bionic quadruped system ’, in Proceedings of the IEEE International Conference on Systems, Man and Cybernetics, Washington, D.C., 2003, pp. 1828–1833.
Wettergreen, D., ‘Robotic Walking in Natural Terrain–Gait Planning and Behavior-Based Control for Statically-Stable Walking Robots ’, PhD. Thesis, The Robotics Institute, Carnegie Mellon University, Pittsburgh, Pennsylvania, December 1995.
Celaya, E. and Porta, J., ‘Force-based control of a six-legged robot on abrupt terrain using the subsumption architecture ’, in Proceedings of the International Conference on Advanced Robotics, 1995, pp. 413–419.
Torres, A. L., ‘Virtual Model Control of a Hexapod Walking Robot ’, BSc. Thesis, Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts, June 1996.
Pratt, J., Dilworth, P., and Pratt, G., ‘Virtual model control of a bipedal walking robot ’, in Proceedings of the IEEE International Conference on Robotics and Automation, Albuquerque, New Mexico, 1997, pp. 193–198.
Nelson, G. and Quinn, R., ‘Posture control of a cockroach-like robot ’, IEEE Control Systems 19, 1999, 9–14.
Ferrell, C., ‘A comparison of three insect inspired locomotion controllers ’, Robotics and Autonomous Systems 16, 1995, 135–159.
Pfeiffer, F., Eltze, J., and Weidemann, H., ‘The TUM-walking machine (extended) ’, Intelligent Automation and Soft Computing 1, 1995, 307–323.
Chiel, H. J., Beer, R. D., Quinn, R. D., and Espenschied, K. S., ‘Robustness of a distributed neural network controller for locomotion in a hexapod robot ’, IEEE Transactions on Robotics and Automation 8, 1992, 293–303.
Martins-Filho, L. de S., Silvino, J. L., Resende, P., and Assunção, T. C., ‘Control of robotic leg joints – comparing PD and sliding mode approaches ’, in Proceedings CLAWAR’2003 – 6th International Conference on Climbing and Walking Robots, Catania, Italy, September 2003, G. Muscato and D. Longo (eds.), pp. 147–153. Professional Engineering Publishing, London, U.K.
Lee, K.-P., Koo, T.-W., and Yoon, Y.-S., ‘Real-time dynamic simulation of quadruped using modified velocity transformation ’, in Proceedings of the IEEE International Conference on Robotics and Automation, Leuven, Belgium, 1998, pp. 1701–1706.
Song, J., Low, K. H., and Guo, W., ‘A simplified hybrid force/position controller method for the walking robots ’, Robotica 17, 1999, 583–589.
Silva, M. F., Machado, J. A. T., and Lopes, A. M., ‘Comparison of fractional and integer order control of an hexapod robot ’, in Proceedings VIB 2003 – ASME International 19th Biennial Conference on Mechanical Vibration and Noise, ASME, Chicago, Illinois, 2003.
Ferreira, N. M. F. and Machado, J. A. T., ‘Fractional-order hybrid control of robotic manipulators ’, in Proceedings of the 11th International Conference on Advanced Robotics, Coimbra, Portugal, 2003, U. Nunes, A. T. de Almeida, A. K. Bejczy, K. Kosuge, and J. A. T. Machado (eds.), pp. 393–398.
Silva, M. F., Machado, J. A. T., and Lopes, A. M., ‘Cascade control of a hexapod robot ’, in Proceedings CLAWAR’2003 – 6th International Conference on Climbing and Walking Robots, Catania, Italy, September 2003, G. Muscato and D. Longo (eds.), pp. 163–170. Professional Engineering Publishing, London, U.K.
Witte, H., Hackert, R., Fischer, M. S., Ilg, W., Albiez, J., Dillmann, R., and Seyfarth, A., ‘Design Criteria for the Leg of a Walking Machine Derived by Biological Inspiration from Quadrupedal Mammals ’, in Proceedings CLAWAR’ 2001–4th International Symposium on Climbing and Walking Robots, Karlsruhe, Germany, September 2001, K. Berns and R. Dillmann (eds.), pp. 63–68. Professional Engineering Publishing, London, U.K.
Silva, M. F., Machado, J. A. T., and Lopes, A. M., ‘Position/force control of a walking robot ’, MIROC–Machine Intelligence and Robotic Control 5, 1997, 33–44.
Silva, M. F. and Machado, J. A. T., ‘Position and force control of a walking hexapod ’, in Proceedings of the 11th International Conference on Advanced Robotics, Coimbra, Portugal, 2003, U. Nunes, A. T. de Almeida, A. K. Bejczy, K. Kosuge, and J. A. T. Machado (eds.), pp. 1743–1748.
Machado, J. A. T., ‘Analysis and design of fractional-order digital control systems ’, SAMS-Journal Systems Analysis-Modeling-Simulation 27, 1997, 107–122.
Silva, M. F., Machado, J. A. T., and Lopes, A. M., ‘Power analysis of multi-legged locomotion systems ’, in Proceedings CLAWAR’2001–4th International Symposium on Climbing and Walking Robots, Karlsruhe, Germany, September 2001, K. Berns and R. Dillmann (eds.), pp. 143–150. Professional Engineering Publishing, London, U.K.
Silva, M. F., Machado, J. A. T., and Lopes, A. M., ‘Performance analysis of multi-legged locomotion systems ’, in Proceedings IEEE International Conference on Robotics and Automation, Washington, D.C., 2002, pp. 2234–2239.
Silva, M. F., Machado, J. A. T., and Lopes, A. M., ‘Power analysis of multi-legged systems ’, in Proceedings b’02–15th IFAC World Congress on Automatic Control, Barcelona, Spain, 2002, E. F. Camacho, L. Basañez, and J. A. de la Puente (eds.).
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Silva, M., Machado, J. & Lopes, A. Fractional Order Control of a Hexapod Robot. Nonlinear Dyn 38, 417–433 (2004). https://doi.org/10.1007/s11071-004-3770-8
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DOI: https://doi.org/10.1007/s11071-004-3770-8