Integrated Mechanism Design and Control for Completely Restrained Hybrid-Driven Based Cable Parallel Manipulators

  • Bin Zi
  • Huafeng Ding
  • Jianbin Cao
  • Zhencai Zhu
  • Andrés Kecskeméthy
Article

Abstract

This paper deals with a methodology of simultaneous optimal design of mechanism and control for completely restrained hybrid-driven based cable parallel manipulators (HDCPM) in order to improve the dynamic performance of the HDCPM system. The HDCPM have the advantages of both the cable parallel manipulator and the hybrid-driven planar five-bar mechanism (HDPM). Kinematics and dynamics of the HDCPM are studied based on closed loop vector, geometric characteristic of mechanism and Lagrange method separately. Following that the integrated optimization model is established based on mechanics analysis and optimum control performance, and a genetic algorithm is used to carry out the optimization solution. As an example, separated optimization design and integrated optimization design for the completely restrained HDCPM with 3 Degrees of Freedom are comparatively investigated on the basis of the above design objectives. Simulation results illustrate that the dynamic performance of the HDCPM system can be significantly improved after integrated optimization design.

Keywords

Hybrid-driven based cable parallel manipulators Integrated optimization design Mechanics analysis  Trajectory planning and control 

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References

  1. 1.
    Luongo, A., Zulli, D.: Dynamic instability of inclined cables under combined wind flow and support motion. Nonlinear Dyn. 67(1), 71–87 (2012)CrossRefMathSciNetGoogle Scholar
  2. 2.
    Cárdenas, R.A., Viramontes, F.J.C., González, A.D., Ruiz, G.H.: Analysis for the optimal location of cable damping systems on stayed bridges. Nonlinear Dyn. 52(4), 347–359 (2008)CrossRefMATHGoogle Scholar
  3. 3.
    Alikhani, A., Behzadipour, S., Alasty, A., Vanini, S.A.S.: Design of a large-scale cable-driven robot with translational motion. Robot. Comput. Integr. Manuf. 27(2), 357–366 (2011)CrossRefGoogle Scholar
  4. 4.
    Zi, B., Zhu, Z.C., Du, J.L.: Analysis and control of the cable-supporting system including actuator dynamics. Control. Eng. Pract. 19(5), 491–501 (2011)CrossRefGoogle Scholar
  5. 5.
    Otis, M.J.-D., Perreault, S., Nguyen-Dang, T.-L., Lambert, P., Gouttefarde, M., Laurendeau, D., Gosselin, C.: Determination and management of cable interferences between two 6-DOF foot platforms in a cable-driven locomotion interface. IEEE Trans. Syst. Man Cybern. Syst. Hum. 39(3), 528–544 (2009)CrossRefGoogle Scholar
  6. 6.
    Shao, X.G., Zhu, Z.C., Wang, Q.G., Chen, P.C.Y., Zi, B., Cao, G.H.: Non-smooth dynamical analysis and experimental validation of the cable-suspended parallel manipulator. Proc. IME C J. Mech. Eng. Sci. (2012). doi: 10.1177/0954406211435585 Google Scholar
  7. 7.
    Duan, B.Y., Qiu, Y.Y., Zhang, F.S., Zi, B.: On design and experiment of the feed cable-suspended structure for super antenna. Mechatronics 19(4), 503–509 (2009)CrossRefGoogle Scholar
  8. 8.
    Pham, C.B., Yeo, S.H., Yang, G.L., Chen, I.-M.: Workspace analysis of fully restrained cable-driven manipulators. Robot. Auton. Syst. 57(9), 901–912 (2009)CrossRefGoogle Scholar
  9. 9.
    Lau, D., Oetomo, D., Halgamuge, S.K.: Wrench-closure workspace generation for cable driven parallel manipulators using a hybrid analytical-numerical approach. ASME J. Mech. Des. 133(7), 071004 (2011)CrossRefGoogle Scholar
  10. 10.
    Taniguchi, S., Kino, H., Ozawa, R., Ishibashi, R., Uemura, M., Kanaoka, K., Kawamura, S.: Inverse dynamics of human passive motion based on iterative learning control. IEEE Trans. Syst. Man Cybern. Syst. Hum. 42(2), 307–315 (2012)CrossRefGoogle Scholar
  11. 11.
    Lim, W.B., Yang, G., Yeo, S.H., Mustafa, S.K.: A generic force-closure analysis algorithm for cable-driven parallel manipulators. Mech. Mach. Theory 46(9), 1265–1275 (2011)CrossRefMATHGoogle Scholar
  12. 12.
    Baser, O., Konukseven, E.I.: Theoretical and experimental determination of capstan drive slip error. Mech. Mach. Theory 45(6), 815–827 (2010)CrossRefMATHGoogle Scholar
  13. 13.
    Kozak, K., Zhou, Q., Wang, J.: Static analysis of cable-driven manipulators with non-neglible cable mass. IEEE Trans. Robot. 22(3), 425–433 (2006)CrossRefGoogle Scholar
  14. 14.
    Fahham, H.R., Farid, M., Khooran, M.: Time optimal trajectory tracking of redundant planar cable-suspended robots considering both tension and velocity constraints. ASME J. Dyn. Syst. Meas. Control 133(1), 11004 (2011)CrossRefGoogle Scholar
  15. 15.
    Castelli, G., Ottaviano, E., González, A.: Analysis and simulation of a new Cartesian cable-suspended robot. Proc. IME C J. Mech. Eng. Sci. 224(8), 1717–1726 (2010)CrossRefGoogle Scholar
  16. 16.
    Gouttefarde, M., Daney, D., Merlet, J.-P.: Interval-analysis-based determination of the wrench-feasible workspace of parallel cable-driven robots. IEEE Trans. Robot. 27(1), 1–13 (2011)CrossRefGoogle Scholar
  17. 17.
    Hassan, M., Khajepour, A.: Analysis of bounded cable tensions in cable-actuated parallel manipulators. IEEE Trans. Robot. 27(5), 891–900 (2011)CrossRefGoogle Scholar
  18. 18.
    Leila, N., Amin, K.: Inverse dynamics of wire-actuated parallel manipulators with a constrainting linkage. Mech. Mach. Theory 42(9), 1103–1118 (2007)CrossRefMATHGoogle Scholar
  19. 19.
    Heyden, T., Woernle, C.: Dynamics and flatness-based control of a kinematically undetermined cable suspension manipulator. Multibody Syst. Dyn. 16(2), 155–177 (2006)CrossRefMATHMathSciNetGoogle Scholar
  20. 20.
    Oh, S.R., Agrawal, S.K.: Cable suspended planar robots with redundant cables: Controllers with positive tensions. IEEE Trans. Robot. 21(3), 457–465 (2005)CrossRefGoogle Scholar
  21. 21.
    Borgstrom, P.H., Borgstrom, N.P., Stealey, M.J., Jordan, B., Sukhatme, G.S., Batalin, M.A., Kaiser, W.J.: Design and implementation of NIMS3D, a 3-D cable robot for actuated sensing applications. IEEE Trans. Robot. 25(2), 325–338 (2009)CrossRefGoogle Scholar
  22. 22.
    Korayem, M.H., Tourajizadeh, H.: Maximum DLCC of spatial cable robot for a predefined trajectory within the workspace using closed loop optimal control approach. J. Intell. Robot. Syst. 63(1), 75–99 (2011)CrossRefGoogle Scholar
  23. 23.
    Gao, F., Liu, X.J., Gruver, W.A.: Performance evaluation of two-degree-of-freedom planar parallel robots. Mech. Mach. Theory 33(6), 661–668 (1998)CrossRefMATHMathSciNetGoogle Scholar
  24. 24.
    Wu, J., Wang, J.S., Wang, L.P.: A comparison study of two planar 2-DOF parallel mechanisms: one with 2-RRR and the other with 3-RRR structures. Robotica 28(6), 937–942 (2010)CrossRefGoogle Scholar
  25. 25.
    Boscariol, P., Zanotto, V.: Design of a controller for trajectory tracking for compliant mechanisms with effective vibration suppression. Robotica 30(1), 15–29 (2012)CrossRefGoogle Scholar
  26. 26.
    Du, R., Guo, W.Z.: The design of a new metal forming press with controllable mechanism. ASME J. Mech. Des. 125(3), 582–592 (2003)CrossRefMathSciNetGoogle Scholar
  27. 27.
    Cheng, L., Lin, Y., Hou, Z.G., Tan, M., Huang, J., Zhang, W.J.: Adaptive tracking control of hybrid machines: a closed-chain five-bar mechanism case. IEEE-ASME T. Mech. 16(6), 1155–1163 (2011)CrossRefGoogle Scholar
  28. 28.
    Zi, B., Cao, J.B., Zhu, Z.C.: Dynamic simulation of hybrid-driven planar five-bar parallel mechanism based on Simmechanics and tracking control. Int. J. Adv. Robot. Syst. 8(4), 28–33 (2011)Google Scholar
  29. 29.
    Wei, G.W., Dai, J.S.: Geometric and kinematic analysis of a seven-bar three-fixed-pivoted compound-joint mechanism. Mech. Mach. Theory 45(2), 170–184 (2010)CrossRefMATHGoogle Scholar
  30. 30.
    Ouyang, P.R., Li, Q., Zhang, W.J., Guo, L.S.: Design, modeling and control of a hybrid machine system. Mechatronics 14(10), 1197–1217 (2004)CrossRefGoogle Scholar
  31. 31.
    Ding, H.F., Huang, P., Zi, B., Kecskeméthy, A.: Automatic synthesis of kinematic structures of mechanisms and robots especially for those with complex structures. Appl. Math. Model. (2012). doi: 10.1016/j.apm.2012.01.043 Google Scholar
  32. 32.
    Zi, B., Cao, J.B.: Workspace analysis of a hybrid-driven cable parallel mechanism. Appl. Mech. Mater. 66–68, 802–806 (2011)CrossRefGoogle Scholar
  33. 33.
    Fonseca, I.M., Bainum, P.M., Lourencao, P.T.M.: Structural and control optimization of a space structure subjected to the gravity-gradient torque. Acta Astronaut. 51(10), 673–681 (2002)CrossRefGoogle Scholar
  34. 34.
    Klein, J., Spencer, S., Allington, J., Bobrow, J.E., Reinkensmeyer, D.J.: Optimization of a parallel shoulder mechanism to achieve a high-force, low-mass, robotic-arm exoskeleton. IEEE Trans. Robot. 26(4), 710–715 (2010)CrossRefGoogle Scholar
  35. 35.
    Gamage, L.B., de Silva, C.W., Campos, R.: Design evolution of mechatronic systems through modeling, on-line monitoring, and evolutionary optimization. Mechatronics 22(1), 83–94 (2012)CrossRefGoogle Scholar
  36. 36.
    Zha, X.F.: Optimal pose trajectory planning for robot manipulators. Mech. Mach. Theory 37(10), 1063–1086 (2002)CrossRefMATHMathSciNetGoogle Scholar
  37. 37.
    Porfirio, C.R., Odloak, D.: Optimizing model predictive control of an industrial distillation column. Control. Eng. Pract. 19(10), 1137–1146 (2011)CrossRefGoogle Scholar
  38. 38.
    Canfield, R.A., Meirovitch, L.: Integrated structural design and vibration suppression using independent modal control. AIAA J. 32(10), 2053–2060 (1994)CrossRefMATHGoogle Scholar
  39. 39.
    Zhang, W.J., Li, Q., Gou, L.S.: Integrated design of mechanical structure and control algorithm for a programmable four-bar linkage. IEEE-ASME T. Mech. 4(4), 354–362 (1999)CrossRefGoogle Scholar
  40. 40.
    Zhu, Y., Qiu, J.H., Tani, J.J., Urushiyama, Y., Hontani, Y.: Simultaneous optimization of structure and control for vibration suppression. ASME J. Vib. Acoust. 121(2), 237–243 (1999)CrossRefGoogle Scholar
  41. 41.
    Zhang, X.M.: Integrated optimal design of flexible mechanism and vibration control. Int. J. Mech. Sci. 46(11), 1607–1620 (2004)CrossRefMATHGoogle Scholar
  42. 42.
    Yan, H.S., Yan, G.J.: Integrated control and mechanism design for the variable input-speed servo four-bar linkages. Mechatronics 19(2), 274–285 (2009)CrossRefGoogle Scholar
  43. 43.
    Gogate, G.R., Matekar, S.B.: Optimum synthesis of motion generating four-bar mechanisms using alternate error functions. Mech. Mach. Theory 54, 41–61 (2012)CrossRefGoogle Scholar
  44. 44.
    Kaveh, A., Rahami, H.: Nonlinear analysis and optimal design of structures via force method and genetic algorithm. Comput. Struct. 84(12), 770–778 (2006)CrossRefGoogle Scholar
  45. 45.
    Fogel, D.B.: An introduction to simulated evolutionary optimization. IEEE Trans. Neural Netw. 5(1), 3–14 (1994)CrossRefGoogle Scholar
  46. 46.
    Masoud, Z.N., Nayfeh, A.H.: Sway reduction on container cranes using delayed feedback controller. Nonlinear Dyn. 34(3–4), 347–358 (2003)CrossRefMATHGoogle Scholar
  47. 47.
    Meza, J.L., Santibáñez, V., Soto, R., Llama, M.A.: Fuzzy self-tuning pid semiglobal regulator for robot manipulators. IEEE Trans. Ind. Electron. 59(6), 2709–2717 (2012)CrossRefGoogle Scholar
  48. 48.
    Khoury, G.M., Saad, M., Kanaan, H.Y., Asmar, C.: Fuzzy PID control of a five DOF robot arm. J. Intell. Robot. Syst. 40(3), 299–320 (2004)CrossRefGoogle Scholar
  49. 49.
    Godbolt, B., Vitzilaios, N.I., Lynch, A.F.: Experimental validation of a helicopter autopilot design using model-based PID control. J. Intell. Robot. Syst. 70(1–4), 385–399 (2013)CrossRefGoogle Scholar
  50. 50.
    Shiakolas, P.S., Koladiya, D., Kebrle, J.: On the optimum synthesis of six-bar linkages using differential evolution and the geometric centroid of precision positions technique. Mech. Mach. Theory 40(3), 319–335 (2005)CrossRefMATHGoogle Scholar
  51. 51.
    Ziegler, J.G., Nichols, N.B.: Optimum settings for automatic controllers. Trans. ASME 64, 759–768 (1942)Google Scholar
  52. 52.
    Loredo-Flores, A., Gonzalez-Galvan, E.J., Cervantes-Sanchez, J.J., Martinez-Soto, A.: Optimization of industrial, vision-based, intuitively generated robot point-allocating tasks using genetic algorithms. IEEE Trans. Syst. Man Cybern. Part C Appl. Rev. 38(4), 600–608 (2008)CrossRefGoogle Scholar
  53. 53.
    Durillo, J.J., Nebro, A.J., Luna, F., Coello Coello, C.A., Alba, E.: Convergence speed in multi-objective metaheuristics: efficiency criteria and empirical study. Int. J. Numer. Methods Eng. 84(11), 1344–1375 (2010)CrossRefMATHGoogle Scholar
  54. 54.
    Kelaiaia, R., Company, O., Zaatri, A.: Multiobjective optimization of a linear Delta parallel robot. Mech. Mach. Theory 50, 159–178 (2012)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • Bin Zi
    • 1
    • 2
    • 3
  • Huafeng Ding
    • 3
  • Jianbin Cao
    • 1
  • Zhencai Zhu
    • 1
  • Andrés Kecskeméthy
    • 3
  1. 1.School of Mechanical and Electrical EngineeringChina University of Mining and TechnologyXuzhouChina
  2. 2.State Key Laboratory of Robotics and SystemHarbin Institute of TechnologyHarbinChina
  3. 3.Chair of Mechanics and RoboticsUniversity of Duisburg-EssenDuisburgGermany

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