Abstract
Motivated by the dynamic output feedback passification results, point-to-point control laws for an elastic joint robot are presented when only the position measurements are available. The proposed method makes a parallel connection of the robot system and an input-dimensional linear system which obtains the effect of the desired differentiators. It is shown that the closed-loop nonlinear robot system can be rendered output strictly passive and the regulation of the system is achieved in the end. Robustness analysis is also given with regard to uncertainties on the robot parameters. Performance of the proposed control law is illustrated in the simulation studies of a manipulator with three revolute elastic joints.
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References
Ailon, A. and Ortega, R. 1993, “An Observer-Based Set-Point Controller for Robot Manipulators with Flexible Joints,”Systems & Control Letters 21, pp. 329–335.
Bar-Kana, I., 1987, “Parallel Feedforward and Simplified Adaptive Control,”Int. J. Adaptive Control and Signal Processing, 1 (2), pp. 95–109.
Bar-Kana, I. and Guez, A., 1990, “Simple Adaptive Control for a Class of Non-Linear Systems with Application to Robotics,”Int. J. Control, 52(1), pp. 77–99.
Berghuis, B. and Nijmeijer, H., 1993, “Global Regulation of Robots Using only Position Measurements,”Systems & Control Letters, 21, pp. 289–293.
Byrnes, C. I., Isidori, A. and Willems, J. C., 1991, “Passivity, Feedback Equivalence, and the Global Stabilization of Minimum Phase Nonlinear Systems,”IEEE Trans. Automat. Contr, 36(11), pp. 1228–1240.
Edwards, C. and Spurgeon, S. K., 1998,Sliding Mode Control, Taylor & Francis.
Fradkov, A. L. and Hill, D. J. 1998, “Exponential Feedback Passivity and Stabilizability of Nonlinear Systems,”Automatica, 34(6), pp. 697–703.
Hill, D. J. and Moylan. P. J., 1977, “Stability Results for Nonlinear Feedback Systems,”Automatica 13, pp. 377–382.
Jiang, Z. P. and Hill, D. J., 1998, “Passivity and Disturbance Attenuation via Output Feedback for Uncertain Nonlinear Systems,”IEEE Trans. Automat. Contr. 43(7), pp. 992–997.
Kaufman, H., Bar-Kana, I. and Sobel, K., 1998.Direct Adaptive Control Algorithms, 2nd ed.. Springer-Verlag.
Kelly, R., Ortega, R., Ailon, A. and Loria, A., 1994, “Global Regulation of Flexible Joint Robots Using Approximate Differentiation,”IEEE Trans. Automat. Contr. 39, pp. 1222–1224.
Lanari, L. and Wen, J. T., 1992, “Asymptotically Stable Set Point Control Laws for Flexible Robots,”Systems & Control Letters 19, pp. 119–129.
Lin, W., 1995, “Feedback Stabilization of General Nonlinear Control Systems: A Passive System Approach,”Systems & Control Letters 25, pp. 41–52.
Nicosia, S. and Tomei, P., 1994, “A Tracking Controller for Flexible Robots Using only Link Position Feedback,” In :Proc. of Conf. on Decision and Control, pp. 1817–1822.
Ortega, R., Lori, A., Nicklasson, P. J. and Sira-Ramirez, H., 1998,Passivity-Based Control of Euler-Lagrange Systems, Springer-Verlag.
Sepulchre, R., Jankovic, M. and Kokotovic, P. V., 1997,Constructive Nonlinear Control, Springer-Verlag.
Son, Young I., Shim Hyungbo and Seo JinH., 1999, “Passification of Nonlinear Systems via Dynamic Output Feedback,” In :Proc. of Conf. on Decision and Control, pp. 4877–4878.
Son, Young I., Shim Hyungbo, Park, K. and Seo Jin H., 2000, “Stabilization of Linear Systems via Low-Order Dynamic Output Feedback : A Passification Approach,” In:Proc. of American Control Conference.
Spong, M. W. and Vidyasagar, M., 1989,Robot Dynamics and Control, John Wiley & Sons, Inc.
Su, W. and Xie, L., 1996, “Robust Control of Nonlinear Feedback Passive Systems,”Systems & Control Letters 28, pp. 85–93.
Takegaki, M. and Arimoto, S.. 1981, “A New Feedback Method for Dynamic Control of Manipulators,”ASME J. Dynamic Systems, Measurement, and Control, 103, pp. 119–125.
Tomei, P., 1991a, “Adaptive PD Controller for Robot Manipulators,”IEEE Trans. Robotics and Automation 7(4), pp. 565–570.
Tomei, P., 1991b, “A Simple PD Controller for Robots with Elastic Joints,”IEEE Trans. Automat. Contr, 36, pp. 1208–1213.
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Son, YI., Shim, H. & Seo, JH. Set-point control of elastic joint robots using only position measurements. KSME International Journal 16, 1079–1088 (2002). https://doi.org/10.1007/BF02984017
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DOI: https://doi.org/10.1007/BF02984017