Abstract
The control scheme using fuzzy modeling and Parallel Distributed Compensation (PDC) concept is proposed to provide asymptotic tracking of a reference signal for the flexible joint manipulators with uncertain parameters. From Lyapunov stability analysis and simulation results, the developed control law and adaptive law guarantee the boundedness of all signals in the closed-loop multi-input/multi-output system. In addition, the plant state tracks the state of the reference model asymptotically with time for any bounded reference input signal.
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References
Chen, B. S., Lee, C. H. and Chang, Y. C., 1996, “Tracking Design of Uncertain Nonlinear SISO Systems: Adaptive Fuzzy Approach,”IEEE Tans. Fuzzy Syst., Vol. 4, No. 1, pp. 32–43.
Chen, K. P. and Fu. L. C., 1989, “Nonlinear Adaptive Motion Control for a Manipulator with Flexible Joints,”Proc. 1989 IEEE Int. Conf. on Robotics and Automation, Phoenix, AZ, pp. 1201–1207.
Fischle, K. and Schroder, D., 1999, “An Improved Stable Adaptive Fuzzy Control Method,”IEEE Tans. Fuzzy Syst., Vol. 7, No. 1, pp. 27–40.
Hong, S. K. and Nam, Y. S., 2003, “An LMI-Based Fuzzy State Feedback Control with Multi Objectives,”Trans. of KSME, Vol. 17, No. 1, pp. 105–113.
Kawamoto, S., 1996, “Nonlinear Control and Rigorous Stability Analysis Based on Fuzzy System for Inverted Pendulum,”Proc. IEEE Int. Conf. Fuzzy Systems, New Orleans, Vol. 2, pp. 1427–1432.
Khorasani, K. and Spong, M. W., 1985, “Invariant Manifolds and Their Application to Robot Manipulators with Flexible Joints,”IEEE Int. Conf. of Robotics and Automation, St. Louis, MO, pp. 425-428.
Khorasani, K. and Kokotovic, P. V., 1985, “Feedback Linearization of a Flexible Manipulator Near its Rigid Body Manifold,”Systems and Control Letters, Vol. 6, pp. 187–192.
Khorasani, K., 1990. “Nonlinear Feedback Control of Flexible Joint Manipulator: A Single Link Case Study,”IEEE Trans. Automatic Control, Vol. 35, No. 10, pp. 1145–1149.
Leu, Y. G., Wang, W. Y. and Lee, T. T., 1999, “Robust Adaptive Fuzzy-Neural Controllers for Uncertain Nonlinear Systems,”IEEE Tans. Robot. and Automat., Vol. 15, No. 5, pp. 805–817.
Lozano, R. and Brogliato, B., 1992, “Adaptive Control of Robot Manipulators with Flexible Joints,”IEEE Trans. Automatic Control, AC-37, pp. 174-181.
Slotine, J. E. and Li, W., 1991,Applied Nonlinear Control, Prentice Hall International Editions, New Jersey.
Spong, M. W., 1987, “Modeling and Control of Elastic Joint Manipulators,”ASME Journal of Dynamic Systems, Measurement and Control, Vol. 109, pp. 310–319.
Spooner, J. T. and Passino, K. M., 1996, “Stable Adaptive Control Using Fuzzy Systems and Neural Networks,”IEEE Tans. Fuzzy Syst., Vol. 4, No. 3, pp. 339–359.
Takagi, T. and Sugeno, M., 1985, “Fuzzy Identification of Systems and its Applications to Modelling and Control,”IEEE Trans. Syst., Man, Cybern., Vol. 15, No. 1, pp. 116–132.
Tanaka, K. and Sugeno, M., 1992, “Stability Analysis and Design of Fuzzy Control Systems,”Fuzzy Sets and Syst., Vol.45, No. 2, pp. 135–156.
Tsay, D. L., Chung, H. Y. and Lee, C. J., 1999, “The Adaptive Control of Nonlinear Systems Using the SugenoType of Fuzzy Logic,”IEEE Tans. Fuzzy Syst., Vol. 7, No. 2, pp. 225–229.
Wang, H. O., Tanaka, K. and Griffin, M. F., 1996, “An Approach to Fuzzy Control of Nonlinear Systems: Stability and Design Issues,”IEEE Tans. Fuzzy Syst., Vol.4, No. 1, pp. 14–23.
Wang, L. X., 1996, “Stable Adaptive Fuzzy Controllers with Application to Inverted Pendulum Tracking,”IEEE Tans. Fuzzy Syst., Vol. 26, No. 5, pp. 677–691.
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Lee, J., Lim, Jh., Park, CW. et al. Adaptive model reference control based on Takagi-Sugeno fuzzy models with applications to flexible joint manipulators. KSME International Journal 18, 337–346 (2004). https://doi.org/10.1007/BF02996099
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DOI: https://doi.org/10.1007/BF02996099