Synthesis and Experimental Implementation of DSP Based Backstepping Control of Positioning Systems

  • Chang, Jie (Electrical and Computer Engineering, Florida State University) ;
  • Tan, Yaolong (Electrical and Computer Engineering, Florida State University)
  • Published : 2007.01.20

Abstract

Novel nonlinear backstepping control with integrated adaptive control function is developed for high-performance positioning control systems. The proposed schemes are synthesized by a systematic approach and implemented based on a modern low-cost DSP controller, TMS320C32. A baseline backstepping control scheme is derived first, and is then extended to include a nonlinear adaptive control against the system parameter changes and load variations. The backstepping control utilizes Lyapunov function to guarantee the convergence of the position tracking error. The final control algorithm is a convenient in the implementation of a practical 32-bit DSP controller. The new control system can achieve superior performance over the conventional nested PI controllers, with improved position tracking, control bandwidth, and robustness against external disturbances, which is demonstrated by experimental results.

Keywords

References

  1. I. Kanellakopoulos and P. T. Krein, 'Integral-action nonlinear control of induction motors', Proceedings of the 12th IFAC World Congress, pp. 251−254, Sydney, Australia, July 1993
  2. M. Krstic, I. Kanellakopoulos, and P. V. Kokotovic, Nonlinear and Adaptive Control Design , New York: Wiley Interscience, 1995
  3. R. Marino, S. Peresada and P. Valigi, 'Adaptive nonlinear control of induction motors via extended matching,' In P. V. Kokotovic, Foundation of Adaptive Control, Springer, Berlin, pp. 435-454, 1991
  4. H. Tan and J. Chang, 'Adaptive position Control of induction motor systems under mechanical uncertainties,' Proceedings of the IEEE 1999 International Conference on PowerElectronics and Drive Systems, pp. 597−602, Hongkong, July 1999
  5. D. G. Taylor, 'Nonlinear control of electric machines: an overview,' IEEE Control Systems Magazine, vol. 14, No. 6, pp. 41−51, 1994
  6. Jie Chang (Jie Zhang) and T. H. Barton, 'Robust Enhancement of DC Drives with a Smooth Optimal Sliding Mode Control', IEEE Transactions on Industry Applications. Vol. 27, No. 4, July/August 1991, pp.686-693 https://doi.org/10.1109/28.85483
  7. Jie Chang (Jie Zhang) and T. H. Barton, 'Microprocessor Based Primary Current Control for Cage Induction Motor Drive', IEEE Transactions on Power Electronics. Vol. 4, No. 1, Jan. 1989, pp.73-82 https://doi.org/10.1109/63.21874
  8. B.K. Bose, 'Power electronics and motion control-technology status and recent trends', Power Electronics Specialists Conference, 1992, Vol.1, pp. 3 - 10
  9. H. Fujimoto, Y. Hori; and A. Kawamura, 'Perfect tracking control based on multirate feedforward control with generalized sampling periods', IEEE Transactions on Industrial Electronics, Volume 48, Issue 3, June 2001, pp. 636 - 644 https://doi.org/10.1109/41.925591
  10. Jie Chang and J. Yu, 'Novel Systematic Approach of Gain Selection for Adaptive Backstepping Motion Control', The 30th Annual Conference of the IEEE Industrial Electronics Society (IECON '04), Vol 3., Nov. 2-6, 2004, pages:2447-2452
  11. Y. Tan, Jie Chang, and H. Tan, 'Adaptive Friction Compensation for Induction Motors with Inertia and Disturbance Uncertainties', The 2000 American Control Conference, Chicago, June 2000. Vol.1, pp.615-620