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End-point control of a flexible-link manipulator using stste-dependent Riccati equation technique

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Języki publikacji
EN
Abstrakty
EN
The problem of modeling and controlling the tip position of a one-link flrxible manipulator is considered. The paper discusses the control strategy based on the nonlinear state Dependent Ricatti Equation (SDRE) design method in the context of application to robotics and manufacturing systems. Lagrangian Mechanics and the Assumed Mode Method have been used to derive a proposed dynamic model of a single-link flexible manipulator having a revolute joint. The model may be used in general to investigate the motion of the manipulator in the horizontal plane rest-to-rest rotational maneuver. The nonlinear SDRE control law is derived as minimizing a quadratic cost function that penalizes the states and the control input torques. Simulation results are presented for a single-link flexible manipulator to achieve a desired angular rotation of the link while simultaneously suppresing structural vibrations, and the effect of payload on the system response and vibration frequencies is investigated. The results are illustrated by a numerical example.
Rocznik
Strony
191--207
Opis fizyczny
Bibliogr. 12 poz., rys.
Twórcy
autor
  • Industrial Control Centre, University of Strathclyde, UK
autor
  • Industrial Control Centre, University of Strathclyde, UK
  • Industrial Control Centre, University of Strathclyde, UK
  • Industrial Control Centre, University of Strathclyde, UK
Bibliografia
  • [1] Z. Artstein: Stabilization with Relaxed Controls. Nonlinear Analysis, 7, (1983), 1163-1173.
  • [2] J. Ball, J. W. Helton and M. L. Walker: Control for nonlinear Systems via Output Feedback. IEEE Trans. on Automatic Control, 38 (1993), 546-559.
  • [3] J. R. Cloutier, C. N. d’Souza and C. P. Mracek: Nonlinear Regulator and Nonlinear Control Via the State Dependent Riccati Equation Technique: Part 1, Theory. Proc. of the 2st Int. Conf. on Nonlinear Problems in Aviation and Aerospace, (1996).
  • [4] J. R. Cloutier, C. N. d’Souza and C. P. Mracek: Nonlinear Regulator and Nonlinear Control Via the State Dependent Riccati Equation Technique: Part 2, Examples. Proc. of the 1st Int. Conf. on Nonlinear Problems in Aviation and Aerospace, (1996).
  • [5] M. Hegazy: Modeling and Control of Flexible Robot Manipulator. Ph. D. Thesis, MTC University, Cairo, 1997.
  • [6] A. Isidori and W. Kang: Control via Measurment Feedback for General Nonlinear Systems. IEEE Trans. on Automatic Control, 40(3), (1995), 466-472.
  • [7] A. Isidori: Nonlinear Control Systems (Third Edition). Berlin: Springer-Verlag, 1995.
  • [8] M.C. Lai and J. Hauser: State feedback nonlinear control with guaranteed region of performance. Proc. of the 1st Conf. on Aerospace Control Systems, Thousand Oaks, CA, (1993).
  • [9] J-J. E. Slotine and W. Li: Applied Nonlinear Control. Prentice Hall, Englewood Cliffs, NJ, 1991.
  • [10] M. Sznair, J. Cloutier, D. Jacques, and C. Mracek: A Receding Horizon State Dependent Riccati Equation Approach to Sub optimal Regulation of Nonlinear Systems. Proc. of the 37th IEEE Conf. on Decision and Control, Tampa, Florida USA, (1998), 1792-1797.
  • [11] F. Verhults: Nonlinear Differential Equations and Dynamical Systems. Berlin: Springer-Verlag, 1990.
  • [12] M. J. Yazdanpanah, K. Khorasani and R. V. Patel: Uncertainty compensation for a flexible-link manipulator using nonlinear control. Int. J. Control, 69(6), (1998), 753-771.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0002-0054
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