A Robust Observer Design for Nonlinear MIMO Plants using Time-Delayed Signals

  • Lee, Jeong-Wan (Division of Mechanical Engineering and Mechatronics, Kangwon National University) ;
  • Chang, Pyung-Hun (Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology)
  • Published : 1999.06.01

Abstract

In this paper, a robust observer design method for nonlinear multi input multi-output(MINO) plants is presented. This method enables the extension of the time delay observer (TDO) for nonlinear SISO plants in the phase variable form to MIMO plants. The designed TDO reconstructs the states of the plant expressed in the generalized observability canonical form (GOBCF), yet requiring neither the transformation of a plant, nor the real time computation coordinates, the observer turned out to be computationally efficient and easy to design for nonlinear MIMO plants. In a simulation of a two-link manipulator with flexible joints, the control performances using TDO appeared to be similar to those using actual states and superior to those using numerical differentiation. Finally, in an experiment with a robot, it was confirmed that the TDO reconstructs the states reliability and TDO can be effectively used in a real closed-loop system.

Keywords

References

  1. Int. J. Control. v.38 no.2 Canonical form observer design for non-linear time-variable systems D.Bestle;M.Zeitz
  2. SIAM J. Control and Optimization v.23 no.2 Nonlinear observers with linearizable error dynamics A.J.Krener;W.respondek
  3. Int. J. Control. v.46 no.6 Nonlinear observer design by transformation into a gencralizcd observer canonical form. H.Keller
  4. Int. J. Systems Sci. v.15 no.9 Obscrvability canonical (phasc-variablc) from for nonlinear time-varialble systems M.Zeitz
  5. Proc. IEEE Conf. Decision Control. Feedback control of elastic robots by pseudo-linearization techniqucs S.Nicosia;P.T.tomei;A.Tornambe
  6. Int. J. Control. v.40 A new method for linearizing nonlinear systems: The pseudo-linearization C.Reboulet;C.Champetier
  7. IEEE Trans. Automatic Control. v.AC31 no.1 Feedback Control of Nonlinear Systems by Extended Linearization W.T.Baumann;W.J.Rugh
  8. ASME J. Dynamic Systems, Measurement and Control. v.109 no.3 On sliding observers for nonlinear systems J.J.E.Slotine;J.K.Hedrick;E.A.Misawa
  9. Automatica v.27 no.5 Sliding observers for robot manipulators C.Canudas de Wit;J.J.e.Slotine
  10. IEEE Trans. Systems, Man, and Cybernetics v.18 no.1 Combined observer-controller synthesis for uncertain dynamical systems with application B.L.Walcott;S.H.Zak
  11. IEEE Trans. Robotics and Automation v.8 no.1 Trajectory tracking in robot manipulators via nonlinear estimated state feedback C.Canudas de Wit;N.Fixot;K.J.Astrom
  12. ASME J. Dynamic Systems. Measurement and Control Time delay observer A robust observer for nonlinear plants. accepted to be published by ASME P.H.Chang;J.W.Lee
  13. ASME J. Dynamic Systems. Measurement and Control v.112 no.1 A time delay controller design for systems with unknown dynamics. K.Youcef-Toumi;O.Ito.
  14. Proc. of IEEE Int. Conf. Robotics and Automation Robot manipulator control using decentralized time-invariant time delayed controller T.C.Hsia;L.S.Gao
  15. Int. J. control. v.47 no.6 Extended Luenberger observer for non-linear multivariable systems J.Birk;M.Zeitz
  16. ASME J. Dynamic Systems, Measurement and Control. v.114 Input/output linearization using time delay control. K.Youcef-toumi;S.T.Wu
  17. Applied Nonlinear Control. J.J.E.slotine;Li
  18. IEEE Trans. Industrial Electronics v.40 no.1 Variable structure control: A surver J.Y.Hung;W.Gao;J.C.Hung
  19. IEEE Trans. Robotics and Automation v.4 no.1 A nolinear observer for elastic robot S.Nicosia;P.Tomei
  20. ASME Winter Annual meeting Stability analysis of TDC with application to high speed bearing K.Youcef-Toumi;S.Reddy
  21. IEEE Trans. Control System Technology v.4 no.1 A model reference observer for time-delay control and its application to robot trajectory control. P.H.Chang;J.W.lee
  22. IEEE Trans. Robotics and Automation v.5 no.5 Condor An architecture for controlling the Utah-MIT dexterous hand S.Narasimhan;D.M.Siegel;J.M.Hollerbach