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Mathematical Problems in Engineering
Volume 2015, Article ID 436906, 7 pages
http://dx.doi.org/10.1155/2015/436906
Research Article

Asymptotic Tracking Control for a Class of Nonlinear Systems with Unknown Failures of Hysteretic Actuators

1Department of Automation, Shanghai Jiao Tong University and Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai 200240, China
2Key Laboratory of Synthetical Automation for Process Industry, Ministry of Education and Northeastern University, Shenyang, Liaoning 110004, China

Received 27 May 2014; Accepted 3 June 2014

Academic Editor: Ligang Wu

Copyright © 2015 Chuanjing Hou et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. G. Tao and P. V. Kokotovic, Adaptive Control of Systems with Actuator and Sensor Nonlinearities, John Wiley & Sons, New York, NY, USA, 1996. View at MathSciNet
  2. G. Tao, S. Chen, and S. M. Joshi, “An adaptive control scheme for systems with unknown actuator failures,” Automatica, vol. 38, no. 6, pp. 1027–1034, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  3. X. Tang, G. Tao, and S. M. Joshi, “Adaptive actuator failure compensation for parametric strict feedback systems and an aircraft application,” Automatica, vol. 39, no. 11, pp. 1975–1982, 2003. View at Publisher · View at Google Scholar · View at Scopus
  4. X. Tang, G. Tao, and S. M. Joshi, “Adaptive output feedback actuator failure compensation for a class of state-dependent nonlinear systems,” in Proceedings of the 42nd IEEE Conference on Decision and Control, pp. 1681–1686, Maui, Hawaii, December 2003. View at Scopus
  5. G. Tao, S. Chen, X. D. Tang, and S. M. Joshi, Adaptive Control of Systems with Actuator Failures, Springer, London, UK, 2004.
  6. X. Tang, G. Tao, and S. M. Joshi, “Adaptive output feedback design for actuator failure compensation using dynamic bounding: output tracking and an application,” in Proceedings of the American Control Conference (ACC ’05), pp. 3186–3191, Portland, Ore, USA, June 2005. View at Scopus
  7. X. D. Tang and G. Tao, “An adaptive nonlinear output feedback controller using dynamic bounding with an aircraft control application,” International Journal of Adaptive Control and Signal Processing, vol. 23, no. 7, pp. 609–639, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. W. Wang and C. Wen, “Adaptive output feedback controller design for a class of uncertain nonlinear systems with actuator failures,” in Proceedings of the 49th IEEE Conference on Decision and Control (CDC ’10), pp. 1749–1754, Atlanta, Ga, USA, December 2010. View at Publisher · View at Google Scholar · View at Scopus
  9. W. Wang and C. Wen, “Adaptive actuator failure compensation control of uncertain nonlinear systems with guaranteed transient performance,” Automatica, vol. 46, no. 12, pp. 2082–2091, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. J. Zhou, C. Wen, and Y. Zhang, “Adaptive backstepping control of a class of uncertain nonlinear systems with unknown backlash-like hysteresis,” IEEE Transactions on Automatic Control, vol. 49, no. 10, pp. 1751–1757, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. Z. Zhang and W. Chen, “Adaptive output feedback control of nonlinear systems with actuator failures,” Information Sciences. An International Journal, vol. 179, no. 24, pp. 4249–4260, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  12. Z. Zhang, S. Xu, and B. Wang, “Adaptive actuator failure compensation with unknown control gain signs,” IET Control Theory & Applications, vol. 5, no. 16, pp. 1859–1867, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. J. Cai, C. Wen, H. Su, X. Li, and Z. Liu, “Adaptive failure compensation of hysteric actuators in controlling uncertain nonlinear systems,” in Proceedings of the American Control Conference (ACC ’11), pp. 2320–2325, San Francisco, Calif, USA, July 2011. View at Scopus
  14. J. Cai, C. Wen, H. Su, Z. Liu, and X. Liu, “Robust adaptive failure compensation of hysteretic actuators for parametric strict feedback systems,” in Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC ’11), pp. 7988–7993, December 2011. View at Publisher · View at Google Scholar · View at Scopus
  15. J. Cai, C. Wen, H. Su, and Z. Liu, “Robust adaptive failure compensation of hysteretic actuators for a class of uncertain nonlinear systems,” IEEE Transactions on Automatic Control, vol. 58, no. 9, pp. 2388–2394, 2013. View at Publisher · View at Google Scholar · View at Scopus
  16. J. Zhou and C. Wen, Adaptive Backstepping Control of Uncertain Systems, vol. 372, Springer, Berlin, Germany, 2007. View at MathSciNet
  17. J. Zhou, C. Wen, and T. Li, “Adaptive output feedback control of uncertain nonlinear systems with hysteresis nonlinearity,” IEEE Transactions on Automatic Control, vol. 57, no. 10, pp. 2627–2633, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. Z. Zhang, S. Xu, and B. Zhang, “Asymptotic tracking control of uncertain nonlinear systems with unknown actuator nonlinearity,” IEEE Transactions on Automatic Control, vol. 59, no. 5, pp. 1336–1341, 2014. View at Publisher · View at Google Scholar
  19. M. Krstic, I. Kancellakopoulos, and P. V. Kokotovivc, Nonlinear and Adaptive Control Design, Wiley, New York, NY, USA, 1995.
  20. A. Isidori, Nonlinear Control Systems, Springer, New York, NY, USA, 3rd edition, 1995. View at MathSciNet