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Linearized Kinematics for State Estimation in Robotics

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Advances in Robot Kinematics

Abstract

The linerization of the kinematic relations between the twist and the twist-rate of a rigid body of a structurally flexible robotic system and the system generalized coordinates and generalized velocities is reported here. This linearization is required for the state estimators wherein the generalized coordinates and velocities of the underlying mechanical subsystem are to be inferred using the values measured, calculated, or obtained otherwise for the twist and its time derivative, as pertaining to one or more of the links.

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References

  • Angeles, J., (1997), Fundamentals of Mechanical Robotic Systems, Theory, Methods, and Algorithms, Springer Verlag, New York, NY.

    Book  Google Scholar 

  • Canudas de Witt, C., and Slotine, J.-J. E., (1991), Sliding Observers for Robot Manipulators, Automatica, vol. 27, no. 5, pp. 859–864.

    Article  MathSciNet  Google Scholar 

  • Goldstein, H., (1980), Classical Mechanics, Addison-Wesley, Mass.

    MATH  Google Scholar 

  • Misawa, E.A., and Hedrick, J.K., (1989), Nonlinear Observers —A State-of-the-Art Survey, J. Dynamic Systems, Measurement, and Control, vol. 111, pp. 344–352.

    MATH  Google Scholar 

  • Nikravesh, P.E., Wehage, R.A., and Kwon, O.K., (1985), Euler Parameters in Computational Kinematics and Dynamics, Part 1, J. of Mech. Trans. and Auto. in Design,vol. 107, pp. 366–369.

    Google Scholar 

  • Parsa, K., Angeles, J., and Misra, A.K., (2001), Pose-and-Twist Estimation of a Rigid Body Using Accelerometers, in Proc. IEEE Int. Conf. Robotics and Automation, Seoul, Korea, pp. 2873–2878.

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  • Sanchis, R., and Nijmeijer, H., (1998), Sliding Controller-Sliding Observer Design for Nonlinear Systems, European J. of Control, no. 4, pp. 208–234.

    MATH  Google Scholar 

  • Wertz, J.R., (1978), Spacecraft Attitude Determination and Control, Astrophysics and Space Science Library, vol. 73, D. Reidel Publishing Company, Dordrecht, The Netherlands.

    Google Scholar 

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© 2002 Springer Science+Business Media Dordrecht

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Parsa, K., Angeles, J., Misra, A.K. (2002). Linearized Kinematics for State Estimation in Robotics. In: Lenarčič, J., Thomas, F. (eds) Advances in Robot Kinematics. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0657-5_5

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  • DOI: https://doi.org/10.1007/978-94-017-0657-5_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6054-9

  • Online ISBN: 978-94-017-0657-5

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