| 參考文獻 |
[1] J. Wan and J. Lo, “LMI relaxations for nonlinear fuzzy control systems via homogeneous
polynomials,” in The 2008 IEEE World Congress on Computational
Intelligence, FUZZ 2008, Hong Kong, CN, June 2008, pp. 134–140.
[2] K. Tanaka and H. Wang, Fuzzy Control Systems Design: A Linear Matrix In-
equality Approach. New York, NY: John Wiley & Sons, Inc., 2001.
[3] T. Takagi and M. Sugeno, “Fuzzy identification of systems and its applications
to modelling and control,” IEEE Trans. Syst., Man, Cybern., vol. 15, no. 1, pp.
116–132, Jan. 1985.
[4] 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.
[5] H. 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,” in Proc. of 18th Int’l Conf. of the North American Fuzzy Information
Processing Society, 2000.
[6] H. Wang, K. Tanaka, and M. Griffin, “An approach to fuzzy control of nonlinear
systems: stability and design issues,” IEEE Trans. Fuzzy Systems, vol. 4, no. 1,
pp. 14–23, Feb. 1996.
[7] K. Tanaka, T. Ikeda, and H.Wang, “Fuzzy regulators and fuzzy observers: relaxed
stability conditions and LMI-based designs,” IEEE Trans. Fuzzy Systems, vol. 6,
no. 2, pp. 250–265, May 1998.
[8] E. Kim and H. Lee, “New approaches to relaxed quadratic stability condition of
fuzzy control systems,” IEEE Trans. Fuzzy Systems, vol. 8, no. 5, pp. 523–534,
Oct. 2000.
[9] Y. Blanco, W. Perruquetti, and P. Borne, “Relaxed stability conditions for Takagi-
Sugeno’s fuzzy models,” in Proc. 9th IEEE Conf. Fuzzy Syst., vol. 2, San Antonio,
TX., 2000, pp. 539–543.
[10] H. Tuan, P. Apkarian, T. Narikiyo, and Y. Yamamoto, “Parameterized linear
matrix inequality techniques in fuzzy control system design,” IEEE Trans. Fuzzy
Systems, vol. 9, no. 2, pp. 324–332, Apr. 2001.
[11] M. Johansson, A. Rantzer, and K.-E. Arzen, “Piecewise quadratic stability of
fuzzy systems,” IEEE Trans. Fuzzy Systems, vol. 7, no. 6, pp. 713–722, Dec. 1999.
[12] K. Kiriakidis, “Robust stabilization of the Takagi-Sugeno fuzzy model via bilinear
matrix inequalities,” IEEE Trans. Fuzzy Systems, vol. 9, no. 2, pp. 269–277, Apr.
2001.
[13] M. Chadli, D. Maquin, and J. Ragot, “Relaxed stability conditions for Takagi-
Sugeno fuzzy systems,” in Proc. 2000 IEEE International Conference on Systems,
Man, and Cybernetics, vol. 5, 2000, pp. 3514–3519.
[14] K. Tanaka, T. Hori, and H. Wang, “A fuzzy Lyapunov approach to fuzzy control
system design,” in American Control Conference, vol. 6, Arlington, VA, 2001, pp.
4790 –4795.
[15] ——, “A dual design problem via multiple Lyapunov functions ,” in Proc. 10th
IEEE Conf. Fuzzy Syst., vol. 1, Melbourne, Australia, 2001, pp. 388 –391.
[16] G. Feng and J. Ma, “Quadratic stabilization of uncertain discrete-time fuzzy dynamic
system,” IEEE Trans. Circuits and Syst. I: Fundamental Theory and Ap-
plications, vol. 48, no. 11, pp. 1137–1344, Nov. 2001.
[17] S. Cao, N. Rees, and G. Feng, “H1 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.
[18] B. Rhee and S. Won, “A new fuzzy Lyapunov function approach for a Takagisugeno
fuzzy control system design,” Fuzzy Set and Systems, vol. 157, pp. 1211–
1228, 2006.
[19] A. Sala and C. Ari˜no, “Asymptotically necessary and sufficient conditions for
stability and performance in fuzzy control: Applications of Polya’s theorem,”
Fuzzy Set and Systems, vol. 158, pp. 2671–2686, 2007.
[20] V. Montagner, R. Oliveira, and P. Peres, “Necessary and sufficient LMI conditions
to compute quadratically stabilizing state feedback controller for Takagi-sugeno
systems,” in Proc. of the 2007 American Control Conference, July 2007, pp. 4059–
4064.
[21] X. Liu and Q. Zhang, “New approaches to H1 controller designs based on fuzzy
observers for T-S fuzzy systems via LMI,” Automatica, vol. 39, pp. 1571–1582,
2003.
[22] P. Apkarian and H. Tuan, “Parameterized LMIs in control theory,” SJAM J.
Control Optim., vol. 38, no. 4, pp. 1241–1264, 2000.
[23] H. Hammouri and J. De Leon Morales, “Observer synthesis for state-affine systems,”
in Proc. of the 29th Conference on Decision and Control, Honolulu, Hawaii,
1990.
[24] “Observer synthesis for a class of nonlinear control systems,” European Journal of
Control, vol. 2, no. 3, pp. 172–192, 1996.
[25] G. Besancon, J. De Le on-Morales, and O. Huerta-Guevara, “On adaptive observers
for state affine systems,” Int. J. Contr., vol. 79, no. 6, pp. 581–591, June
2006.
[26] E. Mandani, “Outline of a new approach to the analysis of complex systems and
decision proceesses,” IEEE Trans. Syst., Man, Cybern., vol. 3, no. 1, pp. 28–44,
Jan 1973.
[27] J. Lo and F. Li, “Stability Analysis - Multiconvexity Approach,” in The 17th Int’l
Federation on Automatic Control, Seoul, Kr, July 2008, pp. 14 454–14 459.
[28] J. Lo and J. Wan, “Studies on LMI relaxations for fuzzy control systems via
homogeneous polynomials,” IET Control Theory Appl., 2010, in press.
[29] R. Oliveira and P. Peres, “Stability of polytopes of matrices via affine parameterdependent
Lyapunov functions: Asymptotically exact LMI conditions,” Linear
Algebra and its Applications, vol. 405, pp. 209–228, 2005.
[30] ——, “LMI conditions for the existence of polynomially parameter-dependent Lyapunov
functions assuring robust stability,” in Proc. of 44th IEEE Conf. on Deci
and Contr, Seville, Spain, Dec. 2005, pp. 1660–1665.
[31] ——, “LMI conditions for robust stability analysis based on polynomially
parameter-dependent Lyapunov functions,” Syst. & Contr. Lett., vol. 55, pp. 52–
61, 2006.
[32] ——, “Parameter-dependent LMIs in robust analysis: characterization of homogeneous
polynomially parameter-dependent solutions via LMI relaxatiions,” IEEE
Trans. Automatic Control, vol. 52, no. 7, pp. 1334–1340, July 2007.
[33] A. Sala and C. Ari˜no, “Design of multiple-parameterization PDC controllers via
relaxed condition for multi- dimensional fuzzy summations,” in Proc. of Fuzz-
IEEE’07., London, UK, 2007, doi:10.1109/FUZZY.2007.4295495.
[34] B. Ding, H. Sun, and P. Yang, “Further studies on LMI-based relaxed stabilization
conditions for nonlinear systems in Takagi-sugeno’s form,” Automatica, vol. 43, pp.
503–508, 2006.
[35] S. Prajna, A. Papachristodoulou, and P. Parrilo, “Introducing SOSTOOLS: a
general purpose sum of squares programming solver,” in Proc of IEEE CDC,
Montreal, Ca, July 2002, pp. 741–746.
[36] K. Tanaka, H. Yoshida, and et al, “A sum of squares approach to stability analysis
of polynomial fuzzy systems,” in Proc. of the 2007 American Control Conference,
New York, NY, July 2007, pp. 4071–4076.
[37] ——, “Stabilization of polynomial Fuzzy systems via a sum of squares approach,”
in Proc. of the 22nd Int’l Symposium on Intelligent Control Part of IEEE Multi-
conference on Systems and Control, Singapore, Oct. 2007, pp. 160–165.
[38] P. Parrilo, Structured Semidefinite Programs and Semialgebraic Geometry Methods
in Robustness and Optimization. Caltech, Pasadena, CA.: PhD thesis, 2000.
[39] S. Prajna, A. Papachristodoulou, and et al, “New developments on sum of squares
optimization and SOSTOOLS,” in Proc. the 2004 American Control Conference,
2004, pp. 5606–5611.
[40] H. Ichihara and E. Nobuyama, “A computational approach to state feedback synthesis
for nonlinear systems based on matrix sum of squares relaxations,” in Proc.
17th Int’l Symposium on Mathematical Theory of Network and Systems, Kyoto,
Japan, 2006, pp. 932–937.
[41] H. Ichihara, “Observer design for polynomial systems using convex optimization,”
in Proc. of the 46th IEEE CDC, New Orleans, LA, Dec. 2007, pp. 5347–5352.
[42] C. Hol and C. Scherer, “Sum of squares relaxations for polynomial semidefinite
programming,” in Proc.of MTNS, 2004, pp. 1–10.
[43] C. Scherer and C. Hol, “Asymptotically exact relaxations for robust LMI problems
based on matrix-valued sum-of-squares,” in Proc. 16th Int’l Symposium on
Mathematical Theory of Network and Systems, 2004, pp. 1–11.
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