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Path Following for Nonholonomic Mobile Manipulators

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Robot Motion and Control 2007

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 360))

Abstract

In the paper a new control algorithm preserving a path following for special class of mobile manipulators, namely for nonholonomic mobile manipulators, is presented. The mobile manipulator is a robotic system consisting of a mobile platform equipped with non-deformable wheels and a manipulator mounted on this platform. Such a composed system is able to realize manipulation tasks in a much larger workspace than a manipulator with a fixed base. Taking into account the type of constraints of both subsystems, there are 4 possible configurations of mobile manipulators: type (h, h) - a holonomic manipulator on a holonomic platform, type (h, nh) - a holonomic platform with a nonholonomic manipulator, type (nh, h) - a nonholonomic platform with a holonomic manipulator, and finally type (nh, nh) - both the platform and the manipulator nonholonomic. In our considerations we focus on the nonholonomic mobile manipulator of the (nh, h) type.

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References

  1. Campion G, Bastin G, d’Andrea-Novel B (1996) Structural properties and classification of dynamical models of wheeled mobile robots. IEEE Trans Robot Autom 12(5):47-61

    Google Scholar 

  2. d’Andréa-Novel B, Bastin G, Campion G (1991) Modelling and control of nonholonomic wheeled mobile robots. In: Proc. IEEE Int Conf on Robotics and Automation, pp. 1130-1135, Sacramento

    Google Scholar 

  3. Dul?eba I (2000) Modeling and control of mobile manipulators. In: Proc 5th IFAC Symp SYROCO’00, pp. 687-692, Vienna

    Google Scholar 

  4. Fradkov A, Miroshnik I, Nikiforov V (1999) Nonlinear and Adaptive Control of Complex Systems. Kluwer Academic Publishers, Dordrecht

    Google Scholar 

  5. Galicki M (2006) Adaptive control of kinematically redundant manipulator. Lecture Notes Control Inf Scie, 335:129-139, London, Springer Verlag

    Google Scholar 

  6. Mazur A (2004) Hybrid adaptive control laws solving a path following problem for non-holonomic mobile manipulators. Int J Control 77(15):1297-1306

    Google Scholar 

  7. Pomet J B (1992) Explicit design of time-varying stabilizing control laws for a class of controllable systems without drift. Syst Control Lett, 18:147-158

    Google Scholar 

  8. Samson C (1995) Control of chained systems - application to path following and time-varying point-stabilization of mobile robots. IEEE Trans Aut Control 40(1):147-158

    Google Scholar 

  9. Tcho? K, Jakubiak J (2004) Acceleration-Driven Kinematics of Mobile Manipulators: an Endogenous Configuration Space Approach. In: Lenar?i? J, Galletti C (eds) On Advances in Robot Kinematics. Kluwer Academic Publishers, The Netherlands

    Google Scholar 

  10. Tcho? K, Jakubiak J, Zadarnowska K (2004) Doubly nonholonomic mobile manipulators. In: Proc IEEE Int Conf on Robotics and Automation, pp. 4590-4595, New Orleans

    Google Scholar 

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© 2007 Springer London

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Mazur, A. (2007). Path Following for Nonholonomic Mobile Manipulators. In: Kozłowski, K. (eds) Robot Motion and Control 2007. Lecture Notes in Control and Information Sciences, vol 360. Springer, London. https://doi.org/10.1007/978-1-84628-974-3_25

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  • DOI: https://doi.org/10.1007/978-1-84628-974-3_25

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84628-973-6

  • Online ISBN: 978-1-84628-974-3

  • eBook Packages: EngineeringEngineering (R0)

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