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Robust control of robot manipulator with actuators

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Abstract

A Robust controller is designed for cascaded nonlinear uncertain systems that can be decomposed into two subsystems; that is, a series connection of two nonlinear subsystems, such as a robot manipulator with actuators. For such systems, a recursive design is used to include the second subsystem in the robust control. The recursive design procedure contains two steps. First, a fictitious robust controller for the first subsystem is designed as if the subsystem had an independent control. As the fictitious control, a nonlinearH∞ control using energy dissipation is designed in the sense ofL 2-gain attenuation from the disturbance caused by system uncertainties to performance vector. Second, the actual robust control is designed recursively by Lyapunov’s second method. The designed robust control is applied to a robotic system with actuators, in which the physical control inputs are not the joint torques, but electrical signals to the actuators.

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References

  • Astolfi, A. and Lanari, L., 1994, “H Control of Rigid Robots,”IFAC Robot Control, pp. 171–176.

  • Boyd, S., Ghaoui, E. E., Feron, E. and Balakrishnan, V., 1994,Linear Matrix Inequalities in System and Control Theory, SIAM books.

  • Corless, M. J. and Leitmann, G., 1981, “Continuous State Feedback Guaranteeing Uniform Boundedness for Uncertain Dynamic Systems”IEEE Trans. Automat, Contr., Vol. 26, pp. 1139–1144.

    Article  MATH  MathSciNet  Google Scholar 

  • Hu, S. S. and Chang, B. C., 1988, “Design of a NonlinearH Controller for the Inverted Pendulum System,”Proc. of IEEE International Conference on Control Applications, pp. 699–703.

  • Isidori, A. and Astolfi, A., 1992, “Disturbance Attenuation andH -Control via Measurement Feedback in Nonlinear Systems”IEEE Trans. Automat. Contr., Vol. 37, pp. 1283–1293.

    Article  MATH  MathSciNet  Google Scholar 

  • Kanellakoppoulos, I., Kokotovic, P. V. and Morse, A. S., 1991, “Systematic Design of Adaptive Controllers for Feedback Linearizable Systems,”IEEE Trans. Automat. Contr., Vol. 36, pp. 1241–1253.

    Article  Google Scholar 

  • Kim, D. H., Kang, J. Y. and Lee, K. I., 1999, “Nonlinear Robust Control Design for a 6 DOF Parallel Robot,”KSME International Journal, Vol. 13, pp. 557–568.

    Google Scholar 

  • Lewis, F. L., Abdallab, C. T. and Dawson, D. M., 1993,Control of Robot Manipulator, Macmillan.

  • Lu, W. M. and Doyle, J. C., 1993, “H Control of Nonlinear Systems: a Convex Charateriza tion,” Caltech CDS Tech. Memo., No. CTI-CDS-93-020.

  • Park, J. H. and Yim, J., 1999, “NonlinearH Control of Robotic Manipulators,”Proc. of IEEE Conference on Systems, Man and Cybernetics, pp. 866–871.

  • Qu, Z. and Dawson, D. M., 1996,Robust Tracking Control of Robot Manipulators, IEEE Press.

  • Sepulchre, R., Jankovic, M. and Kokotovic, P., 1997,Constructive Nonlinear Control, Springer.

  • van der Schaft, A. J., 1992, “L2-Gain Analysis of Nonlinear Systems and Nonlinear State Feed-back,”IEEE Trans. Automat. Contr. Vol. 37, pp. 770–784.

    Article  MATH  Google Scholar 

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Correspondence to Jong Hyeon Park.

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Yim, J., Park, J.H. Robust control of robot manipulator with actuators. KSME International Journal 15, 320–326 (2001). https://doi.org/10.1007/BF03185215

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  • DOI: https://doi.org/10.1007/BF03185215

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