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Optimal System Design

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Dynamics of Underactuated Multibody Systems

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 205))

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Abstract

The analysis and discussions in the previous chapters show that a minimum phase system allows a much easier control design than a non-minimum phase system. For minimum phase systems feedback linearization is possible and the design of feedforward control is significantly simplified. However, the initial design of an underactuated multibody system might be non-minimum phase and requires the demanding computation of feedforward control by stable inversion. In this chapter, an optimization based structural and control design methodology is proposed in order to obtain minimum phase system designs. The proposed design methodology already considers structural design and control design concurrently in the early stage of the design process. The proposed integrated design approach is based on an optimization procedure for either, the system output, the structural design, or both.

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References

  1. Affenzeller M, Winkler S, Wagner S, Beham A (2009) Genetic Aagorithms genetic programming. CRC Press, Boca Raton

    Book  Google Scholar 

  2. Agrawal S, Sangwan V (2008) Differentially flat designs of underactuated open-chain planar robots. IEEE Trans Robot 24:1445–1451

    Article  Google Scholar 

  3. Bendsøe M, Sigmund O (2004) Topology optimization: theory, methods, and applications. Springer, Berlin

    Google Scholar 

  4. Bestle D (1994) Analyse und Optimierung von Mehrkörpersystemen. Springer, Berlin

    Google Scholar 

  5. Brüls O, Lemaire E, Duysinx P, Eberhard P (2011) Optimization of multibody systems and their structural components. In: Arczewski K, Blajer W, Fraczek J, Wojtyra M (eds) Multibody dynamics: computational methods and applications. Computational methods in applied sciences, vol 23. Springer, pp 49–68

    Google Scholar 

  6. Clerc M (2005) Particle swarm optimization. ISTE, London

    MATH  Google Scholar 

  7. De Luca A, Siciliano B (1989) Trajectory control of a non-linear one-link flexible arm. Int J Control 50(5):1699–1715

    Article  MATH  Google Scholar 

  8. Duysinx P, Emonds-Alt J, Virley G, Brüls O, Bruyneel M (2010) Advances in optimisation of flexible components in multibody systems: application to robot-arms designs. In: Proceedings of the 5th asian conference on multibody dynamics, Kyoto, Japan, 24–27 Aug

    Google Scholar 

  9. Haftka R, Gürdal Z (1992) Elements of structural optimization. Kluwer, Dordrecht

    Book  MATH  Google Scholar 

  10. Haug E, Arora J (1979) Applied optimal design. Wiley, New York

    Google Scholar 

  11. Held A, Seifried R (2010) A procedure for shape optimization of controlled elastic multibody systems. In: Topping B, Adam J, Pallares F, Bru R, Romero M (eds) Proceedings of the 7th international conference on engineering computational technology, Valencia, Spain, pp 14–17. Civil-Comp Press, Stirlingshire, September 2010, paper ID 100

    Google Scholar 

  12. Isidori A (1995) Nonlinear control systems, 3rd edn. Springer, London

    Book  MATH  Google Scholar 

  13. Kennedy J, Eberhart R (1995) Particle swarm optimization. In: Proceedings of the international conference on neural networks, Perth, pp 1942–1948

    Google Scholar 

  14. Kennedy J, Eberhart R (2001) Swarm intelligence. Morgan Kaufmann, San Francisco

    Google Scholar 

  15. Khalil HK (2002) Nonlinear systems, 3rd edn. Prentice Hall, Upper Saddle River

    MATH  Google Scholar 

  16. Kirkpatrick S, Gelatt CD, Vecchi MP (1963) Optimization by simulated annealing. Science 220(4598):671–680

    Article  MathSciNet  Google Scholar 

  17. Laporte E, Tallec P (2003) Numerical methods in sensitivity analysis and shape optimization. Birkhäuser, Boston

    Book  MATH  Google Scholar 

  18. Moallem M, Patel RV, Khorasani K (2000) Flexible-link robot manipulators: control techniques and structural design. Lecture notes in control and information sciences, vol 257, Springer, London

    Google Scholar 

  19. Müller PC, Schiehlen W (1985) Linear vibrations. Martinus Nijhoff Publishers, Dordrecht

    Book  MATH  Google Scholar 

  20. Nocedal J, Wright S (2006) Numerical optimization. Springer, New York

    MATH  Google Scholar 

  21. Prautzsch H, Boehm W, Paluszny M (2002) Bézier and B-spline techniques. Springer, Berlin

    Book  MATH  Google Scholar 

  22. Reiner M, Heckmann H, Otter M (2008) Inversion based control of flexible body systems. In: Proceedings of the 9th conference on motion and vibration control

    Google Scholar 

  23. Sedlaczek K (2007) Zur Topologieoptimierung von Mechanismen und Mehrkörpersystemen. Schriften aus dem Institut für Technische und Numerische Mechanik der Universität Stuttgart, Shaker Verlag, Aachen

    Google Scholar 

  24. Sedlaczek K, Eberhard P (2006) Using augmented lagrangian particle swarm optimization for constrained problems in engineering. Struct Multi Opt 32:277–286

    Article  Google Scholar 

  25. Seifried R (2009) Optimization-based design of feedback linearizable underactuated multibody systems. In: Proceedings of the ECCOMAS thematic conference multibody dynamics 2009, Warsaw, paper ID 121

    Google Scholar 

  26. Seifried R (2011) Optimization-based design of minimum phase underactuated multibody systems. In: Blajer W, Arczewski K, Fraczek J, Wojtyra M (eds) Multibody dynamics: computational methods and applications. Computational methods in applied sciences, vol 23, Springer, pp 261–282

    Google Scholar 

  27. Seifried R (2012) Integrated mechanical and control design of underactuated multibody systems. Nonlinear Dyn 67:1539–1557

    Google Scholar 

  28. Seifried R (2012) Two approaches for feedforward control and optimal design of underactuated multibody systems. Multibody Syst Dyn 27(1):75–93

    Google Scholar 

  29. Seifried R, Held A (2011) Integrated design approaches for controlled flexible multibody systems. In: Proceedings of the ASME 2011 international design engineering technical conferences (IDETC/CIE), Washington, DC, paper 47707

    Google Scholar 

  30. Seifried R, Burkhardt M, Held A (2013) Trajectory control of serial and parallel flexible manipulators using model inversion. In: Samin J, Fisette P (eds) Multibody dynamics: computational methods and applications. Computational methods in applied sciences, vol 28, Springer, pp 53–75

    Google Scholar 

  31. Skogestad S, Postlethwaite I (2005) Multivariable feedback control: analysis and design, 2nd edn. John Wiley, Hoboken

    Google Scholar 

  32. Vanderplaats G (2005) Numerical optimization techniques for engineering design. Vanderplaats Research & Development, Colorado Springs

    Google Scholar 

  33. Zhou K, Doyle J, Glover K (1996) Robust and optimal control. Prentice-Hall, Upper Saddle River

    MATH  Google Scholar 

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Correspondence to Robert Seifried .

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Seifried, R. (2014). Optimal System Design. In: Dynamics of Underactuated Multibody Systems. Solid Mechanics and Its Applications, vol 205. Springer, Cham. https://doi.org/10.1007/978-3-319-01228-5_7

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  • DOI: https://doi.org/10.1007/978-3-319-01228-5_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-01227-8

  • Online ISBN: 978-3-319-01228-5

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