Journal of Advanced Marine Engineering and Technology

The Korean Society of Marine Engineering (한국마린엔지니어링학회)
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High order chained system control using deadbeat and iterative control

데드비트 및 디지털 반복제어에 의한 고차 체인드 시스템의 제어

  • 남택근 (목포해양대학교 기관시스템공학부)
  • Published : 2007.05.31
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Abstract

In this paper a state steering strategy for high order chained system is presented. High order chained system can be derived from the acceleration constraints that cannot be integrable. The system classified as a nonholonomic system cannot be controlled to its equilibrium points by continuous and time-invariant controller. Using variable transformation two sub system can be obtained from the high order chained system. Deadbeat control and iterative state steering methods are proposed to control the system. Simulation results are given to show the effectiveness of the proposed control scheme.

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References

  1. Murray, 'Control of nonholonomic systems using chained forms', Fields institute communications, pp. 219 - 245, 1993
  2. Brockett, 'Asymptotic stability and feedback stabilization', Differential geometric control theory, pp. 181 - 191, 1983
  3. H. Khennouf, C. C. Wit, 'On the construction of stabilizing discontinues controllers for nonholonomic systems, Proc. of IFAC Nonlinear Control Systems Design Symposium, pp. 747 - 752, 1995
  4. J. B. Pomet, 'Explict design of time-varying stabilizing control laws for a class of controllable systems without drift', Systems and control letters, Vol. 18, pp. 147 - 158, 1992 https://doi.org/10.1016/0167-6911(92)90019-O
  5. O. Egeland, E. Berglund and O. J. Sordalen, 'Exponential stabilization of nonholonomic underwater vehicle with constraint desired configuration', Proc. of IEEE Robotics and Automation, pp. 20 - 25, 1994
  6. C. Samson, 'Time-varying feedback stabilization of a car-like wheeled mobile robot', Int. J. of Robotics Research, Vol. 12, No. 1, pp. 55 - 64, 1993 https://doi.org/10.1177/027836499301200104
  7. P. Lucibello, G. Oriolo, 'Robust stabilization via iterative state steering with an application to chained-form systems', Automatica, Vol. 37, pp. 71 - 79, 2001 https://doi.org/10.1016/S0005-1098(00)00124-2
  8. J. Imura, K. Kobayashi, T. Yoshikawa, 'Nonholonomic control of 3 link planar manipulator with a free joint', Proc. of IEEE CDC, pp. 1435 - 1436, 1996
  9. M. C. Laiou, A. Astolfi, 'Exponential stabilization of high order chained systems', Proc. of IFAC Symposium on Nonlinear Control Systems Design, pp. 649 - 654, 1998
  10. M. C. Laiou, A. Astolfi, 'Discontinuous control of high order chained systems', Sytems and Cotnrol Letters, pp. 309 - 322, 1999
  11. H. K. Khalil, 'Nonlinear systems', Prentice Hall