本篇論文是研究狀態回饋控制以及狀態估測於取樣模糊系統(sampled-data fuzzy systems) ， 本論文將分兩部分來進行討論 ，
第一部份先推導滿足Lyapunov穩定的檢測條件 ， 第二部分考慮干擾的影響 ， 推導出滿足H∞穩定的檢測條件 。

[1] P. Khargonekar and N. Sivashankar, “H2 optimal control for sampled-data systems,”
Syst. & Contr. Lett., vol. 17, pp. 425–436, 1991.
[2] B. Bamieh and J. Pearson, “The H2 problem for sampled-data systems,” Syst. &
Contr. Lett., no. 19, pp. 1–12, 1992.
[3] R. Ravi, K. Nagpal, and P. Khargonekar, “H∞ of linear time-varying systems:
A state-space approach,” SIAM J. Control and Optimization, vol. 29, no. 6, pp.
1394–1413, Nov. 1991.
[4] D. Limebeer, B. Anderson, R. Khargonekar, and M. Green, “A game theoretic
approach to H∞ for time-varying systems,” SIAM J. Control and Optimization,
vol. 30, no. 2, pp. 262–283, Mar. 1992.
[5] N. Sivashankar and P. Khargonekar, “Robust stability and performance analysis of
sampled-data systems,” IEEE Trans. Automat. Contr., vol. 38, no. 1, pp. 58–1150,
Jan. 1993.
[6] ——, “Characterization of the L2-induced norm for linear systems with jumps
with applications to sampled-data systems,” SIAM J. Control and Optimization,
vol. 32, no. 4, pp. 1128–1150, July 1994.
[7] H. Toivonen and M. Sagfors, “The sampled-date H∞ problem: a unified framework
for discretization-based method and Riccati equation solution,” Int. J. Contr.,
vol. 66, no. 2, pp. 289–309, 1997.
[8] W. Sun, K. Nagpal, and P. Khargonekar, “H∞ control and filtering for sampleddata
systems,” IEEE Trans. Automat. Contr., vol. 38, no. 8, pp. 1162–1175, 1993.
[9] A. Ichikawa and H. Katayama, “H∞ control for a general jump systems with
application to sampled-data systems,” Kobe, JP, pp. 446–451, 1996.
[10] ——, “H2 and H∞ control for jump systems with application to sampled-data
systems,” Int’l J. of Systems Science, vol. 29, no. 8, pp. 829–849, 1998.
[11] S. Nguang and P. Shi, “On designing filters for uncertain sampled-data nonlinear
systems,” Syst. & Contr. Lett., vol. 41, pp. 305–316, 2000.
[12] Y. Joo, L. Shieh, and G. Chen, “Hybrid state-space fuzzy model-based controller
with dual-rate sampling for digital control of chaotic systems,” IEEE Trans. Fuzzy
Syst., vol. 7, no. 4, pp. 394–408, Aug. 1999.
[13] W. Chang, J. Park, Y. Joo, , and G. Chen, “Design of sampled-data fuzzy-modelbased
control systems by using intelligent digital redesign,” IEEE Trans. Circuits
and Syst. I: Fundamental Theory and Applications, vol. 49, no. 4, pp. 509–517,
Apr. 2002.
[14] L. Hu, H. Shao, and Y. Sun, “Robust sampled-data control for fuzzy uncertain
systems,” in Proc. of American Conf. Conf., vol. 1, Chicago, IL, 2000, pp. 1934–
1938.
[15] M. Nishikawa, H. Katayama, J. Yoneyama, and A. Ichikawa, “Design of output
feedback controllers for sampled-data fuzzy systems,” Int’l J. of Systems Science,
vol. 31, no. 4, pp. 439–448, 2000.
[16] S. Nguang and P. Shi, “Fuzzy H∞ output feedback control of nonlinear systems
under sampled measurement,” in Proc. of the 40th IEEE Conf. on Deci. and
Contr., vol. 1, Orlando, FL, 2001, pp. 4370–4375.
[17] H. Katayama and A. Ichikawa, “H∞ control for sampled-data fuzzy systems,” in
Proc. of the American Control Conference, Denver, CO, 2003, pp. 4237–4242.
[18] T. Takagi and M. Sugeno, “Fuzzy identification of systems and its applications
to modeling and control,” IEEE Trans. Syst., Man, Cybern., vol. 15, no. 1, pp.
116–132, Jan. 1985.
[19] H. Wang, K. Tanaka, and M. Griffin, “An approach to fuzzy control of nonlinear
systems: stability and design issues,” IEEE Trans. Fuzzy Syst., vol. 4, no. 1, pp.
14–23, Feb. 1996.
[20] T. Taniguchi, K. Tanaka, H. Ohatake, and H. Wang, “Model construction, rule
reduction and robust compensation for generalized form of Takagi-Sugeno fuzzy
systems,” IEEE Trans. Fuzzy Syst., vol. 9, no. 4, pp. 525–538, Aug. 2001.
[21] J. Lo and M. Lin, “Robust H∞ nonlinear control via fuzzy static output feedback,”
IEEE Trans. Circuits Syst. I: Fundamental Theory and Appl., vol. 50, no. 11, pp.
1494–1502, Nov. 2003.
[22] W. Sun, K. Nagpal, P. Khargonekar, and K. Poolla, “Digital control systems: H∞
controller design with a zero-order hold function,” in Proceedings of the 31st IEEE
Conf. on Decision & Control., Tucson, AR, 1992, pp. 475–480.
[23] K. Tanaka and H. Wang, Fuzzy Control Systems Design: A Linear Matrix Inequality
Approach. New York, NY: John Wiley & Sons, Inc., 2001.
[24] H.Wang, K. Tanaka, and T. Ikeda, “Fuzzy modeling and control of chaotic systems
,” in IEEE Sympo. Circuits Systems, Atlanta, GA, May 1996, pp. 209–212.
[25] J. Lo and C. Su, “Current Observer for Sampled-Data Fuzzy Systems,” American
Control Conference, vol. 50, June 2005.