Acknowledgement
Supported by : Korea Electric Power Corporation, National Research Foundation of Korea (NRF)
References
- S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, "Linear matrix inequalities in system and control theory," SIAM Studies in Applied Mathematics, SIAM, Philadelphia, Pennsylvania, 1994.
- T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Syst., Man, Cybern., vol. SMC-15, no. 1, pp. 116-132, 1985. https://doi.org/10.1109/TSMC.1985.6313399
- K. Tanaka and H. O. Wang, "Fuzzy control systems design and analysis: a LMI approach," Wiely, 2001.
-
D. H. Lee, J. B. Park, Y. H. Joo, K. C. Lin, and C. H. Ham, "Robust
$H_{\infty}$ control for uncertain nonlinear active magnetic bearing systems via Takagi-Sugeno fuzzy models," Int. J. Control, Autom. Syst., vol. 8, no. 3, pp. 636-646, 2010. https://doi.org/10.1007/s12555-010-0317-2 -
Y. Y. Cao and P. M. Frank, "Robust
$H_{\infty}$ disturbance attenuation for a class of uncertain discrete-time fuzzy systems," IEEE Trans. Fuzzy Syst., vol. 8, no. 4, pp. 406-415, 2000. https://doi.org/10.1109/91.868947 - H. K. Lam, F. H. F. Leung, and P. K. S. Tam, "A switching controller for uncertain nonlinear systems," IEEE Trans. Control Syst. Mag., vol. 22, no. 1, pp. 7-14, 2002. https://doi.org/10.1109/37.980242
- G. B. Koo, J. B. Park, and Y. H. Joo, "Robust fuzzy controller for large-scale nonlinear systems using decentralized static output-feedback," Int. J. Control, Autm, Systm., vol. 9, no. 4, pp. 649-658, 2011. https://doi.org/10.1007/s12555-011-0405-y
-
H. J. Kim, G. B. Koo, J. B. Park, and Y. H. Joo, "Decentralized sampled-data
$H_{\infty}$ fuzzy filter for nonlinear large-scale systems," Fuzzy Sets and Syst. vol. 273, pp. 68-86, 2015. https://doi.org/10.1016/j.fss.2014.11.024 - G. B. Koo, J. B. Park, and Y. H. Joo, "Intelligent digital redesign for nonlinear systems using a guaranteed cost control method," Int. J. Control, Autom. Syst., vol. 11, no.6, pp. 1075-1086, 2013. https://doi.org/10.1007/s12555-013-0093-x
- D. H. Lee, J. B. Park, and Y. H. Joo, "Further improvement of periodic control approach for relaxed stabilization condition of discrete-time Takagi-Sugeno fuzzy systems," Fuzzy Sets and Syst., vol. 174, pp. 50-65, 2011. https://doi.org/10.1016/j.fss.2011.02.013
- X. L. Zhu, B. Chen, D. Yue, and Y. Wang, "An improved input delay approach to stabilization of fuzzy systems under variable sampling," IEEE Trans. Fuzzy Systs., vol. 20, no. 2, pp. 330-341, 2012. https://doi.org/10.1109/TFUZZ.2011.2174242
- J. Yoneyama, "Robust sampled-data stabilization of uncertain fuzzy systems via input delay approach," Inform. Sci., vol. 198, pp. 169-176, 2012. https://doi.org/10.1016/j.ins.2012.02.007
- Z. G. Wu, P. Shi, H. Su, and J. Chu, "Sampled-data fuzzy control of chaotic systems based on a T-S fuzzy model," IEEE Trans. Fuzzy Systs., vol. 22, no. 1, pp. 153-163, March, 2013.
- F. Yang, H. Zhang, and Y. Wang, "An enhanced input-delay approach to sampled-data stabilization of T-S fuzzy systems via mixed convex combination," Nonlinear Dyn., vol. 75, pp. 501-512, 2014. https://doi.org/10.1007/s11071-013-1080-8
- G. B. Koo, J. B. Park, and Y. H. Joo, "Guaranteed cost sampled-data fuzzy control for non-linear systems: a continuous-time Lyapunov approach," IET Cont. Theory, Appl., vol. 7, no. 13, 1745-175, 2013. https://doi.org/10.1049/iet-cta.2013.0186
- E. Fridman, "A refined input delay approach to sampled-data control," Automatica, vol. 46, pp. 421-427, 2010. https://doi.org/10.1016/j.automatica.2009.11.017
- K. Tanaka, T. Hori, and H. O. Wang, "A multiple Lyapunov function approach to stabilization of fuzzy control systems," IEEE Trans. Fuzzy Syst., vol. 11, no. 4, pp. 582-589, 2003. https://doi.org/10.1109/TFUZZ.2003.814861
- D. H. Lee, J. B. Park, and Y. H. Joo, "A new fuzzy Lyapunov function for relaxed stability condition of continuous-time Takagi-Sugeno fuzzy systems," IEEE Trans. Fuzzy Syst., vol. 19, no. 4, pp. 785-791, 2011. https://doi.org/10.1109/TFUZZ.2011.2142315
- H. S. Kim, J. B. Park, and Y. H. Joo, "Relaxed stability conditions for the Takagi-Sugeno fuzzy system using a polynomial non-quadratic Lyapunov function," to appear in IET Cont. Theory, Appl., vol. 10, iss. 13, pp. 1590-1599, 2016. https://doi.org/10.1049/iet-cta.2015.1273
- L. A. Mozelli, R. M. Palhares, and G. S. C. Avellar, "A systematic approach to improve multiple Lyapunov function stability and stabilization conditions for fuzzy systems," Inform. Sci., vol. 179, pp. 1149-1162, 2009. https://doi.org/10.1016/j.ins.2008.12.002
- B. J. Rhee and S. Won, "A new fuzzy Lyapunov function approach for a Takagi-Sugeno fuzzy control system design," Fuzzy Sets Syst., vol. 157, pp. 1211-1228, 2006. https://doi.org/10.1016/j.fss.2005.12.020
- Z. Zhang, C. Lin, and B. Chen, "New stability and stabilization conditions for T-S fuzzy systems with time delay," Fuzzy Sets Syst., vol. 263, pp. 82-91, 2015. https://doi.org/10.1016/j.fss.2014.09.012
- C. S. Tseng, B. S. Chen, and H. J. Uang, "Fuzzy tracking control design for nonlinear dynamic systems via T-S fuzzy model," IEEE Trans. Fuzzy Syst., vol. 9, no. 3, pp. 381-392, 2001. https://doi.org/10.1109/91.928735
-
B. Mansouri, N. Manamanni, K. Guelton, A. Kruszewski, and T. M. Guerra, "Output feedback LMI tracking control conditions with
$H_{\infty}$ criterion for uncertain and disturbed T-S models," Inform. Sci., vol. 179, pp. 446-457, 2009. - H. K. Lam and L. D. Seneviratne, "Tracking control of sampled-data fuzzy-model-based control systems," IET Cont. Theory Appl., vol. 3, no. 1, pp. 56-67, 2009. https://doi.org/10.1049/iet-cta:20070466
- D. G. Zill and, M. R. Cullen, "Advanced engineering mathematics," Jones and Bartlett, 2000.
- E. Kreyszig, "Advanced engineering mathematics," Wiely, 2011.
-
S. K. Nguang, "Comments on "Fuzzy
$H_{\infty}$ tracking control for nonlinear networked control systems in T-S fuzzy model"," IEEE Trans. Syst. Man, Cybern., vol. 40, no. 3, pp. 957, 2010. https://doi.org/10.1109/TSMCB.2009.2030883 - J. Lfberg, "YALMIP: a toolbox for modeling and optimization in MATLAB," in Proc. CACSD Conf., pp. 284-289, 2004.
- H. S. Kim, J. B. Park, and Y. H. Joo, "Decentralized sampled-data tracking control of large-scale fuzzy systems: An exact discretization approach," IEEE Access, vol. 5, pp. 12668-12681, 2017. https://doi.org/10.1109/ACCESS.2017.2723982