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A study of guaranteed cost control of a manipulator with a passive revolute joint

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Abstract

In this article, we consider the robust control problem of a two-link RR manipulator with uncertainty in the joint angle which is caused by several factors. The first purpose is to derive an uncertain linear time-invariant (LTI) system for a two-link RR manipulator which includes uncertainty in the rotational angle of each joint. The uncertainty is expressed in a system structure matrix in an explicit form. For this uncertain system, we apply guaranteed cost control. Finally, we show the effectiveness of our method by a numerical example.

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References

  1. Chang S, Peng T (1972) Adaptive guaranteed cost control of system with uncertain parameters. IEEE Trans AC 17(4):474–483

    Article  MATH  MathSciNet  Google Scholar 

  2. Yamamoto S, Shen Q, Kimura H (1993) Quadratic stabilization for a class of uncertain linear systems and its application to a magnetic levitation system. Trans Soc Instrum Control Eng 29:334–339

    Google Scholar 

  3. Takahashi N, Kono M, Hiranuma K, et al (2000) Generalization of guaranteed cost control. Trans Jpn Soc Mech Eng (Ser C) 66(645):1531–1536

    Article  Google Scholar 

  4. Kono M, Takahashi N, Sato O, et al (2002) Generalization of guaranteed cost control: extension to the case with cross terms. Proceedings of the SICE Annual Conference, pp 542–545

  5. Sato A, Sato O, Takahashi N, et al (2008) A study of a manipulator with a passive revolute joint. Artif Life Robotics 13:31–35

    Article  Google Scholar 

  6. Takahashi N, Kono M, Sato O (2009) Guaranteed cost control of the uncertain system with parameter variations in an output matrix. Proceedings of the 1st Japan-Korea Joint Symposium on Dynamics and Control, pp 139–142

  7. Takahashi N, Sato O, Kono M (2009) Robust control method for the inverted pendulum system with structured uncertainty caused by measurement error. Artif Life Robotics 14:574–577

    Article  Google Scholar 

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Correspondence to Nobuya Takahashi.

Additional information

This work was presented in part at the 15th International Symposium on Artificial Life and Robotics, Oita, Japan, February 4–6, 2010

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Takahashi, N., Sato, O. & Kono, M. A study of guaranteed cost control of a manipulator with a passive revolute joint. Artif Life Robotics 15, 482–485 (2010). https://doi.org/10.1007/s10015-010-0845-0

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  • DOI: https://doi.org/10.1007/s10015-010-0845-0

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