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Dynamics Decoupling Control of Parallel Manipulator

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Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 56))

Abstract

Due to the eccentric load of parallel manipulator, dynamic coupling occurs between the various degrees of freedom. As a typical parallel mechanism, the dynamic model of redundant shaking table is built. Coupling force observaction based on coupling model is introduced to the DoFs control structure. The coupling forces are controlled as disturbance forces on hydraulic system by distributing it to each actuator through Jacobi matrix transformation. Decoupling control is given based on the dynamic model as well as a feed forward disturbance force compensation control strategy. However, due to the fact that differentiating acceleration which contains large noise is needed in decoupling control based on dynamic model, modal decoupling control is given. Modal equation of redundant shaking table is given by considering hydraulic cylinder as a hydraulic spring. Through standard modal matrix and its inverse matrix, the redundant shaking table is controlled in non-coupling modal space instead of DoFs space. By analyzing the relationship between the modal matrix and the coupling characteristics of different modal DoFs, an experimental method is given for determining the modal matrix. Simulation analysis shows that compared with decoupling control based on dynamic model, the modal space decoupling control can more effectively reduce the dynamic coupling among DoFs of the redundant shaking table. A control system of the redundant shaking table is developed using rapid control prototyping technology based on xPC Target. Detailed experimental analysis and research are carried out on the proposed coupling characteristic analysis and decoupling control strategies. Experimental results demonstrate that the proposed decoupling control strategies are effective and advanced.

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References

  1. Glazunov V (2010) Design of decoupled parallel manipulators by means of the theory of screws. Mech Mach Theory 45(2):239–250

    Article  MATH  Google Scholar 

  2. Aminzadeh M, Mahmoodi A, Menhaj MB (2001) A novel decoupling controller design for parallel motion platforms. In: Proceedings of the 8th IEEE international conference on control and automation, Xiamen, China, pp 2086–2091

    Google Scholar 

  3. Briot S, Arakelian V, Guegan SP (2009) A new family of partially decoupled parallel manipulator. Mech Mach Theory 44(2):425–444

    Article  MATH  Google Scholar 

  4. Jin Y, Chen IM (2006) Effects of constraint errors on parallel manipulators with decoupled motion. Mech Mach Theory 41(8):912–928

    Article  MATH  Google Scholar 

  5. Jin Y, Chen IM, Yang GL (2009) Kinematic design of 6-DOF partially decoupled parallel manipulators. Mech Mach Theory 44(5):912–922

    Article  MATH  Google Scholar 

  6. Altuzarra O, Loizaga M, Pinto C et al (2010) Synthesis of partially decoupled multi-level manipulators with lower mobility. Mech Mach Theory 45(1):106–118

    Article  MATH  Google Scholar 

  7. Bristol EH (1966) On a new measure of interaction for multivariable process control. IEEE Trans Autom Control 11(1):133–143

    Article  Google Scholar 

  8. Manousiouthakis V, Savage R, Arkum Y (1986) Synthesis of decentralized process control structures using the concept of block relative gain. AIChE J 32(6):991–1003

    Article  Google Scholar 

  9. Shen Y, Xie K (1998) The analysis for dynamic measure of structural interaction and its application. J Taiyuan Univ Tech 29(3):233–236

    Google Scholar 

  10. Zhang L, Wang J, Wang L (2003) Analysis and simplification of the rigid body dynamic model for a 6-UPS parallel kinematic machine under the uniform motion condition. In: IEEE international conference on robotics, intelligent systems and signal processing, pp 980–985

    Google Scholar 

  11. Han J (1996) Development of 3 dimension and 6 degrees of freedom large scale earthquake simulator with three to six degrees of freedom. Harbin, Postdoctoral report of Harbin Institute of Technology, pp 1–65

    Google Scholar 

  12. Yang Z, Li H, Han J (2005) Linear model and inertia force decoupling of 3 -dimension hydraulic shaking system. Mach Tool Hydraul, pp 69–71

    Google Scholar 

  13. Gizatullin AO, Edge KA (2006) Adaptive control for a multi-axis hydraulic test rig. Proc Inst Mech Eng Part I: J Syst Control Eng 221(2):183–198

    Google Scholar 

  14. Ginsberg J, Seemann W (2001) Mechanical and structural vibration: theory and applications. Appl Mech Rev 54(4):60

    Google Scholar 

  15. Plummer AR, Guinzio PS (2009) Modal control of an electro hydrostatic flight simulator motion system. In: Proceedings of the ASME dynamic systems and control conference, Hollywood, pp 1257–1264

    Google Scholar 

  16. Plummer AR (2007) High bandwidth motion control for multi-axis servo hydraulic mechanisms. In: Proceedings of 2007 ASME international mechanical engineering congress and exposition, Seattle, 41240

    Google Scholar 

  17. Ogbobe Peter O, ZhengMao Y, Jiang H et al (2010) Modal space decoupled controller for hydraulically driven six degree of freedom parallel robot. In: Proceedings of 2010 2nd international conference on mechanical and electronics engineering, Kyto, Japan, pp 1280–1284

    Google Scholar 

  18. Yang C, Huang Q, Han J (2012) Decoupling control for spatial six-degree-of-freedom electro-hydraulic parallel robot. Robot Comput Integr Manufact 28(1):14–23

    Article  Google Scholar 

  19. Yang C, Han J (2013) Dynamic coupling analysis of a spatial 6-DOF electro-hydraulic parallel manipulator using a modal decoupling method. Int J Adv Rob Syst 10(104):1–8

    Google Scholar 

  20. Jiang H, He J, Tong Z (2012) Modal space control for a hydraulically driven stewart platform. J Control Eng Tech 2(3):106–115

    Google Scholar 

  21. Yang C, Han J (2013) Decoupled-space control and experimental evaluation of spatial electro-hydraulic robotic manipulators using SVD algorithms. IEEE Trans Ind Electron 61(7):3427–3438

    Article  Google Scholar 

  22. Staicu S (2011) Dynamics of the 6-6 stewart parallel manipulator. Robot Comput Integr Manufact 27(1):212–220

    Article  Google Scholar 

  23. Yang C, Huang Q, Jiang H et al (2010) PD control with gravity compensation for hydraulic 6-DOF parallel manipulator. Mech Mach Theory 45(4), 666–677

    Google Scholar 

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Acknowledgements

The authors want to acknowledge the support received from Science Challege Project, No. JCKY2016212A506-0107.

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Correspondence to Jun-Wei Han .

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Han, JW., Wei, W., Yang, ZD. (2018). Dynamics Decoupling Control of Parallel Manipulator. In: Arakelian, V. (eds) Dynamic Decoupling of Robot Manipulators. Mechanisms and Machine Science, vol 56. Springer, Cham. https://doi.org/10.1007/978-3-319-74363-9_5

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  • DOI: https://doi.org/10.1007/978-3-319-74363-9_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-74362-2

  • Online ISBN: 978-3-319-74363-9

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