參考文獻 |
[1] 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.
[2] H. Ying, ``Sufficient conditions on general fuzzy systems as function approximators', Automatica, vol. 30, no. 3, pp. 521--525, 1994.
[3] H. Ying, ``Sufficient conditions on uniform approximation of multivariate functions by Takagi-Sugeno fuzzy systems with linear rule consequent', IEEE Trans. Syst., Man, Cybern. A: Systems and Humans, vol. 28, no. 4, pp. 515--520, Apr. 1998.
[4] H.W. Wang, J. Li, D. Niemann, and K. Tanaka, ``T-S fuzzy model with linear rule consequence and PDC controller: a universal framework for nonlinear control systems', Proc. 9th IEEE Conf. Fuzzy Syst., San Antonio, TX., 2000, vol. 2, pp. 549--554.
[5] K. Tanaka and H.O. Wang, Fuzzy Control Systems Design: A Linear Matrix Inequality Approach, John Wiley & Sons, Inc., New York, NY, 2001.
[6] T. Taniguchi, K. Tanaka, H. Ohatake, and H.O. 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.
[7] M. Sugeno and G.T. Kang, ``Structure identification of fuzzy model', Fuzzy Sets and Systems, vol. 28, pp. 15--33, 1988.
[8] K. Tanaka, T. Taniguchi, and H.O. Wang, ``Generalized Takagi-Sugeno fuzzy systems: rule reduction and robust control', Proc. of 7th IEEE Conf. on Fuzzy Systems, 2000.
[9] H.O. Wang, K. Tanaka, and M.F. 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.
[10] K. Tanaka, T. Ikeda, and H.O. Wang, ``Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs', IEEE Trans. Fuzzy Syst., vol. 6, no. 2, pp. 250--265, May 1998.
[11] E. Kim and H. Lee, New approaches to relaxed quadratic stability condition of fuzzy control systems', IEEE Trans. Fuzzy Syst., vol. 8, no. 5, pp. 523--534, Oct. 2000.
[12] Y. Blanco, W. Perruquetti, and P. Borne, ``Relaxed stability conditions for Takagi-Sugeno's fuzzy models', Proc. 9th IEEE Conf. Fuzzy Syst., San Antonio, TX., 2000, vol. 2, pp. 539--543.
[13] H.D. Tuan, P. Apkarian, T. Narikiyo, and Y. Yamamoto, ``Parameterized linear matrix inequality techniques in fuzzy control system design', IEEE Trans. Fuzzy Syst., vol. 9, no. 2, pp. 324--332, Apr. 2001.
[14] M.C.M. Teixeira, E. Assuncao, and R.G. Avellar, ``On relaxed LMI-based design for fuzzy controllers', Proc. 10th IEEE Conf. Fuzzy Syst., Melbourne, Australia, 2001, vol. 2, pp. 704 --707.
[15] G. Feng and J. Ma, ``Quadratic stabilization of uncertain discrete-time fuzzy dynamic system', IEEE Trans. Circuits and Syst. I: Fundamental theory and Applications, vol. 48, no. 11, pp. 1137--1344, 2001.
[16] S.G. Cao, N.W. Rees, and G. Feng, ``$H^infty$ control of nonlinear continuous-time systems based on dynamical fuzzy models', Int'l. Journal on Systems Science, vol. 27, no. 9, pp. 821--830, 1996.
[17] M. Johansson, A. Rantzer, and K.-E. Arzen, ``Piecewise quadratic stability of fuzzy systems', IEEE Trans. Fuzzy Syst., vol. 7, no. 6, pp. 713--722, Dec. 1999.
[18] K. Kiriakidis, ``Robust stabilization of the Takagi-Sugeno fuzzy model via bilinear matrix inequalities', IEEE Trans. Fuzzy Syst., vol. 9, no. 2, pp. 269--277, Apr. 2001.
[19] M. Chadli, D. Maquin, and J. Ragot, ``Relaxed stability conditions for Takagi-Sugeno fuzzy systems', Proc. 2000 IEEE International Conference on Systems, Man, and Cybernetics, 2000, vol. 5, pp. 3514--3519.
[20] K.~Tanaka, T.~Hori, and H.W. Wang, ``A fuzzy Lyapunov approach to fuzzy control system design', American Control Conference, Arlington, VA, 2001, vol.~6, pp. 4790 --4795.
[21] K.~Tanaka, T.~Hori, and H.W. Wang, ``A dual design problem via multiple Lyapunov functions ', Proc. 10th IEEE Conf. Fuzzy Syst., Melbourne, Australia, 2001, vol.~1, pp. 388 --391.
[22] K.~Tanaka, T.~Hori, and H.W. Wang, ``New parallel distributed compensation using time derivative of membership functions: a fuzzy Lyapunov approach', Proc. 40th IEEE Conf. Decision and Control, Orlando, FL, 2001, vol.~4, pp. 3942 --3947.
[23] Y.~Morere, T.M. Guerra, L.~Vermeiren, and A.~Kamoun, ``Non quadratic stability and stabilization of discrete fuzzy models', IEEE-ACIDCA Conference, 1999, reprint from authors.
[24] T.M. Guerra and W.~Perruquetti, ``Non quadratic stabilization of discrete Takagi Sugeno fuzzy models', FUZZ-IEEE2001 Conference, Melbourne, AU, 2001, vol.~1, pp. 1271--1274.
[25] T.M. Guerra and L.~Vermeiren, ``Conditions for non quadratic stabilization of discrete fuzzy models', 2001 IFAC Conference, 2001.
[26] M.A.L. Thathachar and P.~Viswanath, ``On the stability of fuzzy systems', IEEE Trans. Fuzzy Syst., vol. 5, no. 1, pp. 145--151, Feb. 1997.
[27] M.~Johansson and A.~Rantzer, ``Computation of piecewise quadratic Lyapunov functions for hybrid systems', IEEE Trans. Automat. Contr., vol. 43, no. 4, pp. 555--559, Apr. 1998.
[28] K.S. Narendra and J.~Balakrishnan, ``A common Lyapunov function for stability LTI systems with commuting A-matrices', IEEE Trans. Automat. Contr., vol. 39, no. 12, pp. 2469--2471, 1994.
[29] J.~Joh, Y.H. Chen, and R.~Langari, ``On the stability issues of linear Takagi-Sugeno fuzzy Model', IEEE Trans. Fuzzy Syst., vol. 6, no. 3, pp. 402--410, Aug. 1998.
[30] 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, Aug. 2000.
[31] H.J. Lee, J.B. Park, and G.~Chen, ``Robust fuzzy control of nonlinear systems with parametric uncertainties', IEEE Trans. Fuzzy Syst., vol. 9, no. 2, pp. 369--379, Apr. 2001.
[32] K.R. Lee, E.T. Jeung, and H.B. Park, ``Robust fuzzy $H_infty$ control of uncertain nonlinear systems via state feedback: an LMI approach', Fuzzy Sets and Systems, vol. 120, pp. 123--134, 2001.
[33] S.G. Cao, N.W. Rees, and G.~Feng, ``$H_infty$ control of uncertain fuzzy continuous-time systems', Fuzzy Sets and Systems, vol. 115, pp. 171--190, 2000.
[34] K.~Tanaka and M.~Sano, ``A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer', IEEE Trans. Fuzzy Syst., vol. 2, no. 2, pp. 119--133, May 1994.
[35] K.~Zhou and P.P. Khargonekar, ``Stability robustness bounds for linear state-space model with structured uncertainty', IEEE Trans. Automat. Contr., vol. 32, no. 7, pp. 621--623, July 1987.
[36] I.R. Petersen, ``A stabilization algorithm for a class of uncertain linear systems', Syst. & Contr. Lett., vol. 8, pp. 351--357, 1987.
[37] P.P. Khargonekar, I.R. Petersen, and K.~Zhou, ``Robust stabilization of uncertain linear systems: quadratic stabilizability and $H_infty$ control theory', IEEE Trans. Automat. Contr., vol. 35, no. 3, pp. 356--361, Mar. 1990.
[38] L.~Xie, M.~Fu, and C.E. de Souza, ``$H_infty$ control and quadratic stabilization of systems with parameter uncertainty via output feedback', IEEE Trans. Automat. Contr., vol. 37, no. 8, pp. 1253--1256, Aug. 1992.
[39] L.~Xie and C.E. de Souza, ``Robust $H_infty$ control for linear systems with norm-bounded time-varying uncertainty', IEEE Trans. Automat. Contr., vol. 37, no. 8, pp. 1188--1191, Aug. 1992.
[40] L.Y. Wang and W.~Zhan, ``Robust disturbance attenuation with stability for linear systems with norm-bounded nonlinear uncertainties', IEEE Trans. Automat. Contr., vol. 41, no. 6, pp. 886--888, June 1996.
[41] S.G. Cao, N.W. Rees, and G.~Feng, ``Quadratic stability analysis and design of continuous fuzzy control systems', Int'l. Journal on Systems Science, vol. 27, no. 2, pp. 193--203, 1996.
[42] G.~Feng, S.G. Cao, N.W. Rees, C.M. Cheng, and J.~Ma, ``$H_infty$ control of continuous time fuzzy dynamic systems', Proc. of the 6th IEEE Int'l Conf. Fuzzy Systems, Barcelona, SP, 1997, vol.~2, pp. 1141--1146.
[43] B.S. Chen, C.S. Tseng, and H.J. Uang, ``Mixed $H_2/H_infty$ fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach', IEEE Trans. Fuzzy Syst., vol. 8, no. 3, pp. 249--265, June 2000.
[44] K.P. Lee, J.H. Kim, E.J. Jeung, and H.~Park, ``Output feedback robust $H_infty$ of uncertain fuzzy dynamic systems with time-varying delay', IEEE Trans. Fuzzy Syst., vol. 8, no. 6, pp. 657--664, Dec. 2000.
[45] B.S. Chen, C.S. Tseng, and H.J. Uang, ``Robustness design of nonlinear dynamic systems via fuzzy control', IEEE Trans. Fuzzy Syst., vol. 7, no. 5, pp. 571--585, Oct. 1999.
[46] Z.~Han, G.~Feng, and N.~Zhang, ``Dynamic output feedback $H_infty$ controller design of fuzzy dynamic systems using LMI techniques', Proc. of Second International Conference on Knowledge-Based Intelligent Electronic Systems, Adelaide, AU, 1998, vol.~2, pp. 343--352.
[47] N.~Zhang and G.~Feng, ``Mixed $H_2/H_infty$ control design for fuzzy dynamic systems via LMI', 6th Int'l Conf. Neural Info. Processing, Perth, AU, 1999, vol.~1, pp. 298--303.
[48] P.~Gahinet and A.~Nemirovskii, ``General-purpose LMI solver with benchmarks', Proc. of the 32nd Conf. Decision Contr., San Antonio, TX., Dec. 1993, pp. 3162--3165.
[49] P.~Gahinet, A.~Nemirovskii, A.J. Laub, and M.~Chilali, ``The LMI control toolbox', Proc. of the 33rd Conf. Decision Contr., Lake Buena Vista. FL., Dec. 1994, pp. 2038--2041.
[50] F.H.F. Leung, H.K. Lam, and P.K.S. Tam, ``Design of fuzzy controllers for uncertain nonlinear systems using stability and robustness analyses', Syst. & Contr. Lett., vol. 35, pp. 237--243, 1998.
[51] F.~Zheng, Q.G. Wang, T.H. Lee, and X.~Huang, ``Robust PI controller design for nonlinear systems via fuzzy modeling approach', IEEE Trans. Syst., Man, Cybern. A: Systems and Humans, vol. 31, pp. 666--675, 2001.
[52] K.~Tanaka, T.~Ikeda, and H.O. Wang, ``Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: quadratic stabilizability, $H^infty$ control theory, and linear matrix inequalities', IEEE Trans. Fuzzy Syst., vol. 4, no. 1, pp. 1--13, Feb. 1996.
[53] X.-J. Ma, Z.-Q. Sun, and Y.-Y. He, ``Analysis and design of fuzzy controller and fuzzy observer', IEEE Trans. Fuzzy Syst., vol. 6, no. 1, pp. 41--51, Feb. 1998.
[54] V.L. Syrmos, C.~Abdallah, P.~Dorato, and K.~Grigoriadis, ``Static output feedback: A Survey', Automatica, vol. 33, no. 2, pp. 125--137, 1997.
[55] Y.~Wang, L.~Xie, and C.E. de Souza, ``Robust control for a class of uncertain nonlinear systems', Syst. & Contr. Lett., vol. 19, pp. 139--149, 1992.
[56] K.~Zeng, N.Y. Zhang, and W.L. Xu, ``A comparative study on sufficient conditions for Takagi-Sugeno fuzzy systems as universal approximators', IEEE Trans. Fuzzy Syst., vol. 8, no. 6, pp. 773--780, Dec. 2000.
[57] M.C.M. Teixeira and S.H. Zak, ``Stabilizing controller design for uncertain nonlinear systems using fuzzy models', IEEE Trans. Fuzzy Syst., vol. 7, no. 2, pp. 133--142, Apr. 1999.
[58] J.C. Lo and M.L. Lin, ``Robust $H_infty$ nonlinear modeling and control via uncertain fuzzy systems', Fuzzy Set and Systems, 2003, article in press.
[59] J.C. Lo and M.L. Lin, ``Robust $H_infty$ nonlinear control via fuzzy static output feedback', IEEE Trans. Circuits Syst. I: Fundamental Theory and Appl., 2003, accepted.
[60] M.L. Lin and J.C. Lo, ``Fuzzy controller synthesis for nonlinear systems via Takagi-Sugeno Model', Proc. 2002 Conf. Auto. Contr., Tainan, TW, Mar. 2002, vol.~1, pp. 76--81.
[61] H.J. Kang, C.~Kwon, Y.H. Yee, and M.~Park, ``$L_2$ robust stability analysis for the fuzzy feedback linearization regulator', Proc. of the 6th IEEE Int'l Conf. on Fuzzy Systems, 1997, vol.~1, pp. 277--280.
[62] H.J. Kang, C.~Kwon, H.~Lee, and M.~Park, ``Robust stability analysis and design method for the fuzzy feedback linearization regulator', IEEE Trans. Fuzzy Syst., vol. 6, no. 4, pp. 464--472, Nov. 1998.
[63] K.~Kiriakidis, A.~Grivas, and A.~Tzes, ``Quadratic stability analysis of the Takagi-Sugeno fuzzy model', Fuzzy Sets and Systems, vol. 98, pp. 1--14, 1998.
[64] S.G. Cao, N.W. Rees, and G.~Feng, ``Analysis and design of fuzzy control systems using dynamic fuzzy-state space models', IEEE Trans. Fuzzy Syst., vol. 7, no. 2, pp. 192--200, 1999.
[65] A.~Jadbabaie, M.~Jamshidi, and A.~Titli, ``Guaranteed-cost design of continuous-time Takagi-Sugeno fuzzy controller via linear matrix inequalities', Proc. of IEEE World Congress on Computational Intell., Anchorage, AK., May 1998, vol.~1, pp. 268--273.
[66] K.~Tanaka, T.~Hori, and H.O. Wang, ``New robust and optimal designs for Takagi-Sugeno fuzzy control systems', Proc. of 1999 IEEE Int'l Conf. on Control Appl., Kohala Coast, Hawaii, 1999, pp. 415--420.
[67] S.~Boyd, L.~E. Ghaoui, E.~Feron, and V.~Balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia, PA., 1994.
[68] M.L. Lin and J.C. Lo, ``Non-quadratic stabilizability of T-S fuzzy models', Proc. 2003 Conf. Auto. Contr., Jung-Li, TW, Mar. 2003, vol.~1.
[69] M.L. Lin and J.C. Lo, ``Relaxed stabilzation conditions via slack variables: discrete T-S', IEEE Trans. Syst., Man, Cybern. B: Cybernetics, 2002, revised.
[70] M.L. Lin and J.C. Lo, ``$H_2/H_infty$ nonlinear control via static output feedback: a fuzzy perspective', Fuzzy Set and Systems, 2003, submitted.
[71] M.L. Lin and J.C. Lo, ``Fuzzy $H_2$ suboptimal control via static output feedback', Proc. 9th Nat'l Conf. Fuzzy Theory and Appl., Jungli, TW, Nov. 2001, vol.~1, pp. 690--695.
[72] M.~Mattei, ``A note on the solution of a class of BMIs for $H_infty$ problems', Proc. 39rd Conf. on Decision and Control, Sydney, Australia, 2000, pp. 2746--2747.
[73] J.C. Lo and Y.C. Lin, ``Robust $H_infty$ fuzzy control via dynamic output feedback for discrete-time systems', The 2002 IEEE World Congress on Computational Intelligence, Honolulu, HI, May 2002, vol.~3, pp. 633--638.
[74] Y.Y. Cao and Y.X. Sun, ``Static output feedback simultaneous stabilization: ILMI approach', Int. J. Contr., vol. 70, no. 5, pp. 803--814, 1998.
[75] Y.Y. Cao, J.~Lam, and Y.X. Sun, ``Static output feedback stabilization: an ILMI approach', Automatica, vol. 34, no. 12, pp. 1641--1645, 1998.
[76] Y.Y. Cao, Y.X. Sun, and J.~Lam, ``Simultaneous stabilization via static output feedback and state feedback', IEEE Trans. Automat. Contr., vol. 44, no. 6, pp. 1277--1282, 1999.
[77] M.L. Lin and J.C. Lo, ``Static nonlinear output feedback $H_2$ control for T-S fuzzy models', Proc. the 12th IEEE Conf. Fuzzy Systems., St. Louis, MO, May 2003, vol.~1, accepted.
[78] M.L. Lin and J.C. Lo, ``Static output feedback control for T-S fuzzy models with nonlinear output', Proc. 10th Nat'l Conf. Fuzzy Theory and Appl., Shinchu, TW, Nov. 2002, pp. 13--16.
[79] M.L. Lin and J.C. Lo, ``$H_infty$ nonlinear control via fuzzy static output feedback', Proc. 18th Chinese Soci. Mech. Eng. Conf., Taipei, TW, Dec. 2001, vol.~2, pp. 195--200.
[80] M.L. Lin and J.C. Lo, ``An iterative solution to dynamic output stabilization and comments on "dynamic output feedback controller design for fuzzy systems"', IEEE Trans. Syst., Man, Cybern. B: Cybernetics, 2002, article in press.
[81] D.C.W. Ramos and P.L.D. Peres, ``A less conservative LMI condition for the robust stability of discrete-time uncertain systems', Syst. & Contr. Lett., , no. 43, pp. 371--378, 2001. |