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Robust Low-complexity Design for Tracking Control of Uncertain Switched Pure-feedback Systems with Unknown Control Direction

미지의 방향성을 갖는 불확실한 스위치드 순궤환 시스템의 추종 제어를 위한 강인 저 복잡성 설계

  • Lee, Seung-Woo (School of Electrical and Electronics Engineering, Chung-Ang University) ;
  • Yoo, Sung-Jin (School of Electrical and Electronics Engineering, Chung-Ang University)
  • Received : 2016.11.25
  • Accepted : 2016.12.15
  • Published : 2017.01.01

Abstract

This paper investigates a robust low-complexity design problem for tracking control of uncertain switched pure-feedback systems in the presence of unknown control direction. The completely unknown non-affine nonlinearities are assumed to be arbitrarily switched. By combining the nonlinear error transformation technique and Nussbaum-type functions, a robust tracking controller is designed without using any adaptive function approximators. Thus, compared with existing results, the proposed control scheme has the low-complexity property. From Lyapunov stability theory, it is shown that the tracking error remains within the preassigned transient and steady-state error bounds.

Keywords

References

  1. L. Vu, D. Liberzon, "Common Lyapunov functions for families of com-muting nonlinear systems," Syst. Contr. Lett., vol. 54, pp. 405-416, 2005. https://doi.org/10.1016/j.sysconle.2004.09.006
  2. J. Fu, Y. Jin, T. Chai, "Fault-tolerant control of a class of switched nonlinear systems with structural uncertainties," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 63, No. 2, pp. 201-205, 2016. https://doi.org/10.1109/TCSII.2015.2468916
  3. M. Krstic, I. Kanellakopoulos, and P. V. Kokotovic, Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
  4. X. Zhao, X. Zheng, B. Niu, L. Liu, "Adaptive tracking control for a class of uncertain switched nonlinear systems," Automatica, vol. 52, pp. 185-191, 2015. https://doi.org/10.1016/j.automatica.2014.11.019
  5. B. Jiang, Q. Shen, P. Shi, "Neural-networked adaptive tracking control for switched nonlinear pure-feedback systems under arbitrary switching," Automatica, vol. 61, pp. 119-125, 2015. https://doi.org/10.1016/j.automatica.2015.08.001
  6. C. P. Bechlioulis, and G. A. Rovithakis, "Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems", Automatica, vol. 45, no. 2, pp. 532-538, 2009. https://doi.org/10.1016/j.automatica.2008.08.012
  7. S. W. Lee, and S. J. Yoo, "Robust fault-tolerant prescribed performance tracking for uncertain switched pure-feedback nonlinear systems under arbitrary switching," International Journal of Systems Science, vol. 48, no. 3, pp. 578-586, 2017. https://doi.org/10.1080/00207721.2016.1193259
  8. R. D. Nussbaum, "Some Remarks on the Conjecture in Parameter Adaptive Control," Syst. Contr. Lett., vol. 3, pp. 243-246, 1983. https://doi.org/10.1016/0167-6911(83)90021-X
  9. C. Wang, D. J. Hill, S. S. Ge, and G. Chen, "An ISS-modular Approach for Adaptive Neural Control of Pure-feedback Systems," Automatica, vol. 42, No. 5, pp. 723-731, 2006. https://doi.org/10.1016/j.automatica.2006.01.004
  10. D. M. Dawson, J. J. Carroll, and M. Schneider, "Integrator backstepping control of a brush DC motor turning a robotic load," IEEE Trans. Contr. Syst. Technol., vol. 2, pp. 233-244, 1994. https://doi.org/10.1109/87.317980