Abstract
The work presented in this paper describes a novel approach to the computation of the point-to-point motion of multi-degree-of-freedom parallel mechanisms. The common technique for solving for the inverse kinematics of parallel mechanisms is through intense computations and complex vector transformations. One obvious drawback of this method is the fact that the solution method varies with the type of mechanism being used. In this paper, a generalised alternative approach is presented, which avoids the problems encountered in the available techniques, for solving for the inverse kinematics of parallel manipulator systems. The proposed approach uses a fuzzy system as a general black box model to solve for the joint angles of the desired pose when the position and orientation of the parallel manipulator end-effector are given in advance. Since optimal membership functions are difficult to achieve using the experience of system designers, genetic algorithms are used instead and applied to the fuzzy rules set to optimise the search procedure. To verify the proposed scheme, a three degree-of-freedom parallel manipulator is analysed and the simulation results are very encouraging.
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References
Branco PJC, Dente JA (1998) The application of fuzzy logic in automatic modeling of electromechanical systems. Fuzz Sets Sys 95:273–293
Buruncuk K, Tokad Y (1999) On the kinematic of a 3-DOF Stewart platform. J Robot Sys 16(2):105–118
Chen PH, Lai JH, Lin CT (1998) Application of fuzzy control to a road tunnel ventilation system. Fuzz Sets Sys 100:9–28
Cleary K, Brooks T (1993) Kinematic analysis of a novel 6-DOF parallel manipulator. In: Proceedings of the IEEE International Conference on Robotics and Automation, Atlanta, GA, 2–6 May, 1993, pp 708–713
Dawanaka H, Yoshikawa T, Tsuruoka S (1996) Acquisition of fuzzy vontrol rules for a mobile robot using genetic algorithms. In: Proceedings of the 6th International Workshop on Advanced Motion Control, 1996
Fichter EF (1986) A Stewart platform-based manipulator: general theory and practical construction. Int J Robot Res 5(2):157–182
Gosselin CM, Hamel JF (1994) The agile eye: a high-performance 3-DOF camera-orienting device. In: Proceedings of the IEEE International Conference on Robotics and Automation, San Diego, CA, 22–28 April, 1994, pp 781–786
Hung YC, Dagli C, Wiebe H (1995) Robot inverse kinematics mapping using fuzzy associative memory approach. In: Proceedings of ANNIE '95: Intelligent Engineering Systems Through Artificial Neural Networks, St. Louis, MO, 12–15 November 1995
Khalil W, Murareci D (1996) Kinematic analysis and singular configurations of a class of parallel robots. Math Comput Simul 41(3–4):377–390
Koseki Y, Ara T, Sugimoto K, Takatuji T, Goto M (1998) Design and accuracy evaluation of high-speed and a high precision parallel mechanism. In: Proceedings of the IEEE International Conference on Robotics and Automation, Leuven, Belgium, 16–21 May, 1998, pp 1340–1345
Lakshmi P, Khan MA (2000) Stability enhancement of a multi-machine power system using fuzzy logic based power system stabilizer tuned through genetic algorithms. Int J Elect Pow Energ Sys 22(2):137–145
Lee KM, Shah DK (1998) Dynamic analysis of a three degrees-of-freedom in-parallel actuated manipulator. IEEE Trans Robot Automat 4(3):361–367
Liu K, Fitzgerald JM, Lewis FL (1993) Kinematic analysis of a Stewart platform manipulator. IEEE Trans Indust Elect 40(2):282–293
Mitchell M (1996) An introduction to genetic algorithms. MIT Press, Cambridge, MA
Pierrot F, Reynaud C, Fournier A (1990) Delta: a simple and efficient parallel robot. Robotica 6:105–109
Stewart D (1965) A platform with six degrees of freedom. In: Proceedings of the Institution of Mechanical Engineers 180(15):371–386
Tsai L-W, Walsh GC, Stamper RE (1996) Kinematics of a novel three DOF translational platform. In: Proceedings of the IEEE International Conference on Robotics and Automation, Minneapolis, MN 22–28 April, 1996, pp 3446–3451
Wang J, Gosselin CM (1997) Kinematic analysis and singularity representation of spatial five-degree-of-freedom parallel mechanisms. J Robot Sys 14(2):851–869
Yoon J, Ryu J (2001) Design, fabrication, and evaluation of a new haptic device using a parallel mechanism. IEEE/ASME Trans Mechat 6(3):221–233
Zhuang H, Roth ZS (1993) Method for kinematic calibration of Stewart platforms. J Robot Sys 10(3):391–405
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Her, MG., Chen, CY., Karkoub, M. et al. A generalised approach to point-to-point motion of multi-DOF parallel manipulators illustrated with TMPM. Int J Adv Manuf Technol 22, 216–223 (2003). https://doi.org/10.1007/s00170-002-1462-4
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DOI: https://doi.org/10.1007/s00170-002-1462-4