Control Design for Flexible Joint Manipulators with Mismatched Uncertainty : Adaptive Robust Scheme

  • Kim, Dong-Hwa (Department of Mechanical Design and Production Engineering, Seoul National University of Technology)
  • Published : 1999.06.01

Abstract

Adaptive robust control scheme is introduced for flexible joint manipulator with nonlinearities and uncertainties. The system does not satisfy the matching condition due to insufficient actuators for each node. The control only relies on the assumption that the bound of uncertainty exists. Thus, the bounded value does not need to be known a prior. The control utilizes the update law by estimating the bound of the uncertainties. The control scheme uses the backstepping method and constructs a state transformation. Also, stability analysis is done for both transformed system and original system.

Keywords

References

  1. Proceedings 23rd IEEE Conference on Decision and Control Re-definition of the robot motion control problem: effects of Plant dynamics, drkve system constraints, and user requirements L.M.Sweet;M.C.Good
  2. In New Trends and Applications of Distributed Parameter Control system, Lecture Notes in Pure and Applied Mathematics The control of flexible joint robots: a survey M.W.Spong;G.Chen;E.B.Lee;W.Littman;L.Markus(Eds.)
  3. Proceedings 21st Annual Allerton Conference on Comm, Cont. and Comp. A singular perturbation approach to the control of elastec robots A.Ficola;R.Marino;S.Nicosia
  4. IEEE Transactions Automtic Control v.35 no.10 Nonlinear feedback control of flexible joint manipulators: a single link case study K.Khorasani
  5. IEEE International conference of Robotics and Automation Invariant manifolds and flexible joints K.Khorasani;M.W.Spong
  6. Systems and Control Letters v.6 Feedback linearization of a flexible manipulator near its rigid body manifold K.Khorasani;P.V.Kokotovic
  7. ASME Journal of Dynamic Systems, Measurement. and Control. v.109 Modeling and control of elastec joint manipulators M.W.Spong
  8. IEEE Transactions Automtic Control v.AC-37 Adaptive control of robot manipulators with flexible joints R.Lozano;B.Brogliato
  9. Proceedings 1989 IEEE International Conference on Robotics and Automation Nonlinear adaptive motion control for a manipulator with flexible joints K.P.Chen;L.C.Fu
  10. IEEE Transactions on Robotics and Automation v.7 no.4 Adaptive force control of single link mechanism with joint flexibility K.Y.Lian;J.H.Jean;L.C.Fu
  11. Systems and Control Letters v.20 Robust adaptive control of revolute flexible-joint manipulators using sliding control C.M.Kwan;K.S.Yeung
  12. International Journal of Dynamics and Control ,to appear robust control design for flexible joint manipulators D.H.Kim;Y.H.Chen
  13. Robot Dymanics and Control M.W.Spong;M.Vidyasagar
  14. Mathematical Theory of Dynamical Systems and Microphysics: Control Theory and Mechanics Adaptive control for uncertain dynamical systems M.J.Corless;G.Leitmann;Blaquiere,A.;Leitmann,G.(eds.)
  15. International Journal of Control v.45 Robustness of uncertain systems in the absence of matching assumptions Y.H.Chen;G.Leitmann
  16. Journal of Control, Automation and Systems Engineering v.4 no.1 Robust control design applicable to general flexible joint manipulators D.H.Kim;Y.H.Chen