Abstract
In this paper, a structure-control design methodology for simultaneously optimizing both mechanical structure and control of parallel robots is proposed. It takes into count the dynamical model and the mechanical parameters for the optimization process. Thus, PID control and geometric variables are optimized in a simultaneously way. Through the concurrent procedure, an optimal combination of the robot structure and control gains is obtained. An estimation of distribution algorithm (EDA) is formulated and used as the search algorithm. The proposed methodology is verified through simulation experiments and applied to the design process of a parallelogram linkage system. The results obtained in experiments show the effectiveness of the proposed methodology. The presented approach is generic and can be applied to other mechanisms with similar structure.
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References
Pil A, Asada H (1996) Integrated structure-control design of mechatronics systems using a recursive experimental optimization method. IEEE/ASME Trans Mech 1(1):191–203
Ravichandran T, Wang D, Heppler G (2006) Simultaneous plant controller design optimization of a two-link planar manipulator. Mechatronics 16:233–242
Portilla-Flores EA, Mezura-Montes E, Alvarez-Gallegos J, Coello-Coello CA, Cruz-Villar CA (2007) Integration of structure and control using an evolutionary approach: an application to the optimal concurrent design of a CVT. Int J Numer Meth Eng 71(8):883–901
Portilla-Flores EA, Mezura-Montes E, Alvarez-Gallegos J, Coello-Coello CA, Cruz-Villar CA, Villarreal-Cervantes MG (2011) Parametric reconfiguration improvement in non-iterative concurrent mechatronic design using an evolutionary-based approach. Eng Appl Artif Intell 24:757–771
Mühlenbein H, Paaβ G (1996) From recombination of genes to the estimation of distributions I. binary parameters. In: Proceedings of the 4th international conference on parallel problem solving from nature, Springer, London, UK, pp 178–187
Ivvan Valdez S, Hernández A, Botello S (2013) A Boltzmann based estimation of distribution algorithm. Inf Sci 236(0):126–137
Mühlenbein H, Mahnig T, Rodriguez AO (1999) Schemata, distributions and graphical models in evolutionary optimization. J Heuristics 5(2):215–247
Zhang Q, Mühlenbein H (2004) On the convergence of a class of estimation of distribution algorithms. IEEE Trans Evol Comput 8(2):127–136
Li Q, Zhang WJ, Chen L (2001) Design for control- a concurrent engineering approach for mechatronic systems design. IEEE/ASME Trans Mech 6(2):161–169
Riving EI (1988) Mechanical design of robots. McGraw-Hill, New York
Spong MW, Vidyasagar M (1989) Robot dynamics and control. Wiley, New York
Sciavicco L, Siciliano B (2003) Modelling and control of robot manipulator. Springer, London
Murray RM, Li Z, Sastry SS (1994) A mathematical introduction to robotic manipulation. CRC Press, Boca Raton
Acknowledgements
The authors would like to thank CONACYT-Mexico under project CB-2011-01-169132 and SIP IPN (2013) for supporting part of this project. First author would like to thank financial support from PROMEP-SEP.
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Chávez-Conde, E., Ivvan Valdez, S., Hernández, E. (2015). Concurrent Structure-Control Design of Parallel Robots Using an Estimation of Distribution Algorithm. In: Ceccarelli, M., Hernández Martinez, E. (eds) Multibody Mechatronic Systems. Mechanisms and Machine Science, vol 25. Springer, Cham. https://doi.org/10.1007/978-3-319-09858-6_30
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DOI: https://doi.org/10.1007/978-3-319-09858-6_30
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