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World Academy of Science, Engineering and Technology
Published November 26, 2009 | Version 3236
Journal article Open

Stable Robust Adaptive Controller and Observer Design for a Class of SISO Nonlinear Systems with Unknown Dead Zone

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This paper presents a new stable robust adaptive controller and observer design for a class of nonlinear systems that contain i. Coupling of unmeasured states and unknown parameters ii. Unknown dead zone at the system actuator. The system is firstly cast into a modified form in which the observer and parameter estimation become feasible. Then a stable robust adaptive controller, state observer, parameter update laws are derived that would provide global adaptive system stability and desirable performance. To validate the approach, simulation was performed to a single-link mechanical system with a dynamic friction model and unknown dead zone exists at the system actuation. Then a comparison is presented with the results when there is no dead zone at the system actuation.

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References

  • Tao, G., and Kokotovic, P. V., 1994, "Adaptive Control of Plants With Unknown Dead Zone," IEEE Trans. Automatic Control, 39, pp. 59-68.
  • Tao, G., and Kokotovic, P. V., 1995, "Discrete-time Adaptive Control of Systems With Unknown Dead Zone," International Journal of Control, 61, pp. 1- 17.
  • Cho, H. Y., and Bai, E. W., 1998, "Convergence Results for An Adaptive Dead Zone Inverse," International Journal of Adaptive Control and Signal Processing, 12, pp. 451- 466.
  • Lewis, F. L., Tim, W. K., Wang, L. Z., and Li, Z. X., 1999, "Dead Zone Compensation in Motion Control Systems Using Adaptive Fuzzy Logic Control", IEEE Trans. Control Systems Technology, 7, pp. 731- 742.
  • Selmic, R. R., and Lewis, F. L., 2000, "Dead Zone Compensation in Motion Control Systems Using Neural Networks", IEEE Trans. Automatic Control, 45, pp. 602- 613.
  • Zhou, J., Wen, C., and Zhang, Y., 2006, " Adaptive Output Control of Nonlinear Systems Wuth Unknown Dead Zone", IEEE Trans. Automatic Control, 51, pp. 504-511.
  • Zhou, J., and Shen, X. Z., 2007, "Robust Adaptive Control of Nonlinear Uncertain Plants With Unknown Dead Zone", IET Control Theory Appl., 1, pp. 25-32.
  • Wang, S. X., Su, C. Y., and Hong, H.Y., 2004, "Robust Adaptive Control of a Class of Nonlinear Systems With Unknown Dead Zone", Proc. 40th IEEE Conf. on Decision and Control, Orlando, Florida, USA, pp. 1627- 1632.
  • Wang, S. X., Su, C. Y., and Hong, H.Y., 2003, "Model Reference Adaptive Control of Continuous-Time Systems With an Unknown Input Dead Zone", IEE Proc. Control Theory Appl., 150, pp. 261- 266. [10] Wang, S. X., Su, C. Y., and Hong, H.Y., 2004, "Robust Adaptive Control of a Class of Nonlinear Systems With Unknown Dead Zone", Automatica, 40, pp. 407-413. [11] Zhu, Y., and Pagilla, P. R., 2006, "Adaptive Controller and Observer Design for a Class of Nonlinear Systems", Trans. Of ASME, Journal of Dyn. Syst., Meas., and Control, 128, pp. 712- 717. [12] Slotine, J.-J. E., 1984, "Sliding Controller Design for Nonlinear Systems", International Journal of Control, 40, pp. 435-448. [13] Slotine, J.-J. E., and Coetsee, J. A., 1986, "Adaptive Sliding Control Synthesis for Nonlinear Systems", International Journal of Control, 43, pp. 1631- 1651. [14] M. Serruya, N. Hatsopoulos, M. R. Fellows, L. Paninski, J. Donoghue, \Robustness of neuroprosthetic decoding algorithms," Biological Cybernetics, vol. 88, no. 3, pp. 219{228, Mar 2003. [15] M. Jazayeri and J. A. Movshon, \Optimal representation of sensory information by neural populations," Nature Neuroscience, vol. 9, no. 5, pp. 690-696, May 2006. [16] M. H. Schieber \Individuated nger movements of rhesus monkeys: a means of quantifying the independence of the digits," Journal of Neurophysiology, vol. 65, no. 6, pp. 1381{1391, June 1991. [17] M. C. Schieber and L. S. Hibbard, \How somatotopic is the motor cortex hand area?," Science, vol. 261, pp. 489{492, July 1993. [18] A. V. Poliakov and M. H. Schieber, \Limited functional grouping of neurons in the motor cortex hand area during individuated nger movements: a cluster analysis," Journal of Neurophysiology, vol. 82, no. 6, pp. 3488{3505, Dec. 1999. [19] A. P. Georgopolous, G. Pellizzer, A. V. Poliakov and M. H. Schieber, \Neural coding of nger and wrist movements," Journal of Computational Neuroscience, vol. 6, no. 3, pp. 279{288, May 1999. [20] M. N. Shadlen and W. T. Newsome, \The variable discharge implications for connectivity, computation and information coding," Journal of Neuroscience, vol. 18, pp. 3870{3896, 1998. [21] J. G. Skellam, \The frequency distribution of the difference between two Poissn variables belonging to dierent populations," Journal of the Royal Statistical Society: Sereis A, vol. 109, no. 3 pp. 296, 1946.