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Mathematical Problems in Engineering
Volume 2015, Article ID 946385, 16 pages
http://dx.doi.org/10.1155/2015/946385
Research Article

Output Feedback and Single-Phase Sliding Mode Control for Complex Interconnected Systems

1Department of Mechanical and Automation Engineering, Da-Yeh University, No. 168, University Road, Changhua 51591, Taiwan
2Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, 19 Nguyen Huu Tho Street, 7th District, Ho Chi Minh City, Vietnam

Received 29 August 2014; Accepted 25 December 2014

Academic Editor: Xudong Zhao

Copyright © 2015 Yao-Wen Tsai and Van Van Huynh. 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. H. H. Choi, “LMI-based sliding surface design for integral sliding mode control of mismatched uncertain systems,” IEEE Transactions on Automatic Control, vol. 52, no. 4, pp. 736–742, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. H. H. Choi, “An explicit formula of linear sliding surfaces for a class of uncertain dynamic systems with mismatched uncertainties,” Automatica, vol. 34, no. 8, pp. 1015–1020, 1998. View at Publisher · View at Google Scholar · View at MathSciNet
  3. S. H. Zak and S. Hui, “On variable structure output feedback controllers for uncertain dynamic systems,” IEEE Transactions on Automation Control, vol. 38, no. 10, pp. 1509–1512, 1993. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. C. M. Kwan, “On variable structure output feedback controllers,” IEEE Transactions on Automatic Control, vol. 41, no. 11, pp. 1691–1693, 1996. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  5. Y.-W. Tsai, K.-H. Mai, and K.-K. Shyu, “Sliding mode control for unmatched uncertain systems with totally invariant property and exponential stability,” Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers, Series A, vol. 29, no. 1, pp. 179–183, 2006. View at Google Scholar · View at Scopus
  6. R. J. Mantz, H. de Battista, and P. Puleston, “A new approach to reaching mode of VSS using trajectory planning,” Automatica, vol. 37, no. 5, pp. 763–767, 2001. View at Google Scholar · View at MathSciNet
  7. A. Bartoszewicz and A. Nowacka-Leverton, “SMC without the reaching phase—the switching plane design for the third-order system,” IET Control Theory and Applications, vol. 1, no. 5, pp. 1461–1470, 2007. View at Publisher · View at Google Scholar · View at Scopus
  8. J. Ackermann and V. Utkin, “Sliding mode control design based on Ackermann's formula,” IEEE Transactions on Automatic Control, vol. 43, no. 2, pp. 234–237, 1998. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. M. Rubagotti, A. Estrada, F. Castaños, A. Ferrara, and L. Fridman, “Integral sliding mode control for nonlinear systems with matched and unmatched perturbations,” IEEE Transactions on Automatic Control, vol. 56, no. 11, pp. 2699–2704, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. Q. Gao, L. Liu, G. Feng, Y. Wang, and J. Qiu, “Universal fuzzy integral sliding-mode controllers based on T-S fuzzy models,” IEEE Transactions on Fuzzy Systems, vol. 22, no. 2, pp. 350–362, 2014. View at Publisher · View at Google Scholar · View at Scopus
  11. D. Ginoya, P. D. Shendge, and S. B. Phadke, “Sliding mode control for mismatched uncertain systems using an extended disturbance observer,” IEEE Transactions on Industrial Electronics, vol. 61, no. 4, pp. 1983–1992, 2014. View at Publisher · View at Google Scholar · View at Scopus
  12. M. Liu, L. Zhang, P. Shi, and H. R. Karimi, “Robust control of stochastic systems against bounded disturbances with application to flight control,” IEEE Transactions on Industrial Electronics, vol. 61, no. 3, pp. 1504–1515, 2014. View at Publisher · View at Google Scholar · View at Scopus
  13. Y.-W. Tsai, K.-K. Shyu, and K.-C. Chang, “Decentralized variable structure control for mismatched uncertain large-scale systems—a new approach,” Systems and Control Letters, vol. 43, no. 2, pp. 117–125, 2001. View at Publisher · View at Google Scholar · View at Scopus
  14. K. K. Shyu, W. J. Liu, and K. C. Hsu, “Decentralised variable structure control of uncertain large-scale systems containing a dead-zone,” IEE Proceedings: Control Theory and Applications, vol. 150, no. 5, pp. 467–475, 2003. View at Publisher · View at Google Scholar · View at Scopus
  15. K.-K. Shyu, W.-J. Liu, and K.-C. Hsu, “Design of large-scale time-delayed systems with dead-zone input via variable structure control,” Automatica, vol. 41, no. 7, pp. 1239–1246, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  16. C.-W. Chung and Y. Chang, “Design of a sliding mode controller for decentralised multi-input systems,” IET Control Theory & Applications, vol. 5, no. 1, pp. 221–230, 2011. View at Publisher · View at Google Scholar · View at Scopus
  17. K. Kalsi, J. Lian, and S. H. Zak, “Decentralized dynamic output feedback control of nonlinear interconnected systems,” IEEE Transactions on Automatic Control, vol. 55, no. 8, pp. 1964–1970, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. X.-G. Yan, S. K. Spurgeon, and C. Edwards, “Global decentralised static output feedback sliding-mode control for interconnected time-delay systems,” IET Control Theory and Applications, vol. 6, no. 2, pp. 192–202, 2012. View at Publisher · View at Google Scholar · View at Scopus
  19. Z. He, X. Wang, Z. Gao, and J. Bai, “Sliding mode control based on observer for a class of state-delayed switched systems with uncertain perturbation,” Mathematical Problems in Engineering, vol. 2013, Article ID 614878, 9 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  20. W.-J. Wang and J.-L. Lee, “Decentralized variable structure control design in perturbed nonlinear systems,” Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME, vol. 115, no. 3, pp. 551–554, 1993. View at Publisher · View at Google Scholar · View at Scopus
  21. K.-K. Shyu and J.-J. Yan, “Variable-structure model following adaptive control for systems with time-varying delay,” Control Theory and Advanced Technology, vol. 10, no. 3, pp. 513–521, 1994. View at Google Scholar · View at MathSciNet
  22. K.-C. Hsu, “Decentralized variable-structure control design for uncertain large-scale systems with series nonlinearities,” International Journal of Control, vol. 68, no. 6, pp. 1231–1240, 1997. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  23. K.-C. Hsu, “Decentralized variable structure model-following adaptive control for interconnected systems with series nonlinearities,” International Journal of Systems Science, vol. 29, no. 4, pp. 365–372, 1998. View at Publisher · View at Google Scholar · View at Scopus
  24. C.-H. Chou and C.-C. Cheng, “A decentralized model reference adaptive variable structure controller for large-scale time-varying delay systems,” IEEE Transactions on Automatic Control, vol. 48, no. 7, pp. 1213–1217, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  25. C.-J. Wang and J.-S. Chiou, “On delay independent stabilization analysis for a class of switched large-scale time-delay systems,” Abstract and Applied Analysis, vol. 2013, Article ID 849578, 10 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  26. Y. Cui, K. Liu, Y. Zhao, and X. Wang, “Robust H control for a class of uncertain switched fuzzy time-delay systems based on T-S models,” Mathematical Problems in Engineering, vol. 2013, Article ID 234612, 8 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  27. P. P. Khargonekar, I. R. Petersen, and K. Zhou, “Robust stabilization of uncertain linear systems: quadratic stabilizability and H control theory,” IEEE Transactions on Automatic Control, vol. 35, no. 3, pp. 356–361, 1990. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  28. S. Boyd, E. L. Ghaoui, E. Feron, and V. Balakrishna, Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia, Pa, USA, 1998.
  29. D. Cheng, L. Guo, and J. Huang, “On quadratic Lyapunov functions,” IEEE Transactions on Automatic Control, vol. 48, no. 5, pp. 885–890, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  30. X.-G. Yan, C. Edwards, and S. K. Spurgeon, “Decentralised robust sliding mode control for a class of nonlinear interconnected systems by static output feedback,” Automatica, vol. 40, no. 4, pp. 613–620, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus