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Stability analysis and H∞ control of discrete T–S fuzzy hyperbolic systems Cover

Stability analysis and H∞ control of discrete T–S fuzzy hyperbolic systems

Open Access
|Mar 2016

References

  1. Bemporad, A., Borrelli, F. and Morari, M. (2003). Min-max control of constrained uncertain discrete-time linear system,(9): 1600–1606.
  2. Cao, S.G., Rees, N.W., Feng, G. and Liu, W. (2000).control of nonlinear discrete-time systems based on dynamical fuzzy models,(31): 229–241.
  3. Cao, Y.Y. and Frank, P.M. (2000). Robustdisturbance attenuation for a class of uncertain discrete-time fuzzy systems,(4): 406–415.
  4. Chen, B. and Liu, X.P. (2005). Delay-dependent robustcontrol for TCS fuzzy systems with time delay,(4): 544–556.
  5. Chen, B.-S., Tseng, C.-S. and Uang, H.-J. (2000). Mixed/fuzzy output feedback control design for nonlinear dynamic systems: An LMI approach,(3): 249–265.
  6. Chen, M.L. and Li, J.M. (2012). Modeling and control of T–S fuzzy hyperbolic model for a class of nonlinear systems,, pp. 57–62.
  7. Chen, M.L. and Li, J.M. (2015). Non-fragile guaranteed cost control for Takagi–Sugeno fuzzy hyperbolic systems,(9): 1614-1627.
  8. Datta, R., Bittermann, M.S., Deb, K. and Ciftcioglu, O. (2012). Probabilistic constraint handling in the framework of joint evolutionary-classical optimization with engineering application,, pp. 1–8.
  9. Du, D.S. (2012). Reliablecontrol for Takagi–Sugeno fuzzy systems with intermittent measurements,(4): 930-941.
  10. Elliott, D.L. (1999). Bilinear systems,, Wiley, New York, NY.
  11. Feng, G. (2006). A survey on analysis and design of model-based fuzzy control systems,(5): 676-697.
  12. Guan, X. and Chen, C. (2004). Delay-dependent guaranteed cost control for T–S fuzzy system with time delays,(2): 236-249.
  13. Hsiao, M.Y., Liu, C.H., Tsai, S.H., Chen, P.S. and Chen, T.T. (2010). A Takagi–Sugeno fuzzy-model-based modeling method,, pp. 1–6.
  14. Jadbabaie, A., Jamshidi, M. and Titli, A. (1998). Guaranteed-cost design of continuous-time Takagi–Sugeno fuzzy controllers via linear matrix inequalities,, Vol. 1, pp. 268–273.
  15. Kim, S.H., Lee, C.H. and Park, P.G. (2008). Relaxed delay-dependent stabilization conditions for discrete-time fuzzy systems with time delays,, pp. 999–1004.
  16. Li, J.M., Li, J., and Du, C.X. (2009)., Xidian University Press, Xian, pp. 10–13.
  17. Li, J.R., Li, J.M. and Xia, Z.L. (2011). Delay-dependent generalizedcontrol for discrete T–S fuzzy large-scale stochastic systems with mixed delays,(4): 583–603, DOI: 10.2478/v10006-011-0046-6.
  18. Li, J.R., Li, J.M. and Xia, Z.L. (2013a). Observer-based fuzzy control design for discrete-time T-S fuzzy bilinear systems,(3): 435–454.
  19. Li, J.R., Li, J.M. and Xia, Z.L. (2013b). Delay-dependent generalizedfuzzy static-output-feedback control for discrete T–S fuzzy bilinear stochastic systems with mixed delays,(4): 863–880.
  20. Li, J.M. and Zhang, G. (2012). Non-fragile guaranteed cost control of T–S fuzzy time-varying state and control delays systems with local bilinear models,(2): 43–62.
  21. Li, T.H.S. and Tsai, S.H. (2007). T–S fuzzy bilinear model and fuzzy controller design for a class of nonlinear systems,(3): 494–506.
  22. Li, T.H.S. and Tsai, S.H. (2008). Robustfuzzy control for a class of uncertain discrete fuzzy bilinear systems,(2): 510–527.
  23. Li, T.H.S., Tsai, S.H., Lee, J.Z., Hsiao, M.Y. and Chao, C.H. (2008). Robustfuzzy control for a class of uncertain discrete fuzzy bilinear systems,(2): 510–527.
  24. Margaliot, M. and Langholz, G. (2003). A new approach to fuzzy modeling and control of discrete-time systems,(4): 486–494.
  25. Mohler, R.R. (1973)., Academic Press, New York, NY.
  26. Park, Y., Tahk, M.J. and Bang, H. (2004). Design and analysis of optimal controller for fuzzy systems with input constraint(6): 766–779.
  27. Qi, R.Y., Tao, G., Jiang, B. and Tan, C. (2012). Adaptive control schemes for discrete-time T–S fuzzy systems with unknown parameters and actuator failures,(3): 471–486.
  28. Qiu, J.B., Feng G. and Yang J. (2009). A new design of delay-dependent robustfiltering for discrete-time T–S fuzzy systems with time-varying delay,(5): 1044-1058.
  29. Qiu, J.B., Feng G. and Gao H.J. (2010). Fuzzy-model-based piecewisestatic-output-feedback controller design for networked nonlinear systems,(5): 919-934.
  30. Siavash, F.D. and Alireza, F. (2014). Non-monotonic Lyapunov functions for stability analysis and stabilization of discrete time Takagi–Sugeno fuzzy systems,(4): 1567–1586.
  31. Su, X.J., Shi P.G., Wu L.G. and Song Y.-D. (2013). A novel control design on discrete-time Takagi–Sugeno fuzzy systems with time-varying delays,(4): 655–671.
  32. Su, X. J., Shi P., Wu L. and Basin M.V. (2014). Reliable filtering with strict dissipativity for T–S fuzzy time-delay systems,(12): 2470–2483, DOI: 10.1109/TCYB.2014.2308983.
  33. Takagi, T. and Sugeno, M. (1985). Fuzzy identification of systems and its applications to modeling and control,(1): 116–132.
  34. Tanaka, K. and Sugeno, M. (1992). Stability analysis and design of fuzzy control systems,(2): 135–156.
  35. Tanaka, K. and Wang, H.O. (2001)., Wiley, New York, NY.
  36. Tong, S.C., He, X.L. and Zhang, H.C. (2009). A combined backstepping and small-gain approach to robust adaptive fuzzy output feedback control,(5): 1059–1069.
  37. Tong, S.C., Huo, B.Y. and Li, Y.M. (2014). Observer-based adaptive decentralized fuzzy fault-tolerant control of nonlinear large-scale systems with actuator failures,(1): 1–15.
  38. Tong, S.C., Liu, C.L. and Li, Y.M. (2010). Fuzzy-adaptive decentralized output-feedback control for large-scale nonlinear systems with dynamical uncertainties,(5): 845–861.
  39. Tong, S.C. and Li, Y.M. (2012). Adaptive fuzzy output feedback tracking backstepping control of strict-feedback nonlinear systems with unknown dead zones,(1): 168–180.
  40. Tong, S., Yang, G. and Zhang, W. (2011). Observer-based fault-tolerant control against sensor failures for fuzzy systems with time delays,(4): 617–627, DOI: 10.2478/v10006-011-0048-4.
  41. Wang, J. (2014). Adaptive fuzzy control of direct-current motor dead-zone systems,(4): 1391–1399.
  42. Yan, H.C., Zhang, H., Shi, H.B. and Meng, M.Q.-H. (2010).fuzzy filtering for discrete-time fuzzy stochastic systems with time-varying delay,, pp. 59993–59998.
  43. Zhang, G. and Li, J.M. (2010). Non-fragile guaranteed cost control of discrete-time fuzzy bilinear system,(4): 629–634.
  44. Zhang, H.G. (2009)., Science Press, Beijing, pp. 121–131.
  45. Zhang, H.G. and Quan, Y.B. (2001). Modeling, identification and control of a class of nonlinear system,(2): 349-354.
  46. Zhang, H., Shi, Y., and Mehr, A.S. (2012). On filtering for discrete-time Takagi–Sugeno fuzzy systems,(2): 396–401.
  47. Zhao, Y., and Gao, H.J. (2012). Fuzzy-model-based control of an overhead crane with input delay and actuator saturation(1): 181–186.
  48. Zhao, T., Xiao, J., Li, Y. and Li, Y.X. (2013). A fuzzy Lyapunov function approach to stabilization of interval type-2 T–S fuzzy systems,, pp. 2234-2238.
DOI: https://doi.org/10.1515/amcs-2016-0009 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 133 - 145
Submitted on: Jun 23, 2014
Published on: Mar 31, 2016
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2016 Ruirui Duan, Junmin Li, Yanni Zhang, Ying Yang, Guopei Chen, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.