An approximation of interval type-2 fuzzy controllers using fuzzy ratio switching type-1 fuzzy controllers

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

Volumn 41, Issue 3, 2011, Pages 828-839

  Tao, C W ^a   Taur, Jinshiuh ^b   Chuang, Chen Chia ^a   Chang, Chia Wen ^c   Chang, Yeong Hwa ^c  

^a NATIONAL ILAN UNIVERSITY   (Taiwan)

^b NATIONAL CHUNG HSING UNIVERSITY   (Taiwan)

^c CHANG GUNG UNIVERSITY   (Taiwan)

Author keywords

Double pendulum and cart system; interval type 2 fuzzy controller (FC); possible left(right)most FC

Indexed keywords

CONTROL TECHNIQUES; DOUBLE-PENDULUM-AND-CART SYSTEM; FUZZY COMBINATION; FUZZY CONTROLLERS; INTERVAL TYPE-2 FUZZY CONTROLLER (FC); POSSIBLE-LEFT(RIGHT)MOST FC; SIMULATION RESULT; SLIDING CONTROL; SLIDING CONTROLLERS;

FUZZY CONTROL; PENDULUMS; SWITCHING;

CONTROLLERS;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; COMPUTER SIMULATION; FEEDBACK SYSTEM; FUZZY LOGIC; NONLINEAR SYSTEM; SIGNAL PROCESSING; THEORETICAL MODEL;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; COMPUTER SIMULATION; FEEDBACK; FUZZY LOGIC; MODELS, THEORETICAL; NONLINEAR DYNAMICS; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 79957468742     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2010.2095840     Document Type: Article

References (29)

1. C. C. Lee, "Fuzzy logic in control systems: Fuzzy logic controller-Part I," IEEE Trans. Syst., Man, Cybern., vol. 20, no. 2, pp. 404-418, Mar./Apr. 1990.
2. W. Pedrycz, Fuzzy Control and Fuzzy Systems. New York: Wiley, 1993.
3. Y. H. Chang, C. W. Chang, C. W. Tao, and C. H. Yang, "Swing up and balance control of planetary train type pendulum with fuzzy logic and energy compensation," Int. J. Fuzzy Syst., vol. 9, no. 2, pp. 87-94, 2007. (Pubitemid 351392389)
4. C. W. Tao, M. L. Chan, and T. T. Lee, "Adaptive fuzzy sliding mode controller for linear systems with mismatched time-varying uncertainties," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 33, no. 2, pp. 283-294, Apr. 2003.
5. H. Ohtake, K. Tanaka, and H. O. Wang, "Fuzzy model-based servo and model following control for nonlinear systems," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 39, no. 6, pp. 1634-1639, Dec. 2009.
6. C. W. Tao and J. S. Taur, "Robust fuzzy control for a plant with fuzzy linear model," IEEE Trans. Fuzzy Syst., vol. 13, no. 1, pp. 30-41, Feb. 2005. (Pubitemid 40319307)
7. C. S. Chiu, "Mixed feedforward/feedback based adaptive fuzzy control for a class ofMIMO nonlinear systems," IEEE Trans. Fuzzy Syst., vol. 14, no. 6, pp. 716-727, Dec. 2006.
8. K. Hirota, Industrial Application of Fuzzy Technology. New York: Springer-Verlag, 2004.
9. C. F. Juang and C. H. Hsu, "Reinforcement ant optimized fuzzy controller for mobile-robot wall-following control," IEEE Trans. Ind. Electron., vol. 56, no. 10, pp. 3931-3940, Oct. 2009.
10. G. Acampora, M. Gaeta, V. Loia, and A. Vasilakos, "Interoperable and adaptive fuzzy services for ambient intelligence applications," ACM Trans. Auton. Adapt. Syst., vol. 5, no. 2, pp. 8:1-8:26, May 2010.
11. G. Acampora and V. Loia, "Fuzzy control interoperability and scalability for adaptive domotic framework," IEEE Trans. Ind. Informat., vol. 1, no. 2, pp. 97-111, May 2005. (Pubitemid 40786124)
12. Y. H. Chang, C. W. Chang, J. S. Taur, and C. W. Tao, "Fuzzy swing-up and fuzzy sliding-mode balance control for a planetary-gear-type inverted pendulum," IEEE Trans. Ind. Electron., vol. 56, no. 9, pp. 3751-3761, Sep. 2009.
13. H. Hagras, "A hierarchical type-2 fuzzy logic control architecture for autonomous mobile robots," IEEE Trans. Fuzzy Syst., vol. 12, no. 4, pp. 524-539, Aug. 2004.
14. P. Z. Lin, C. M. Lin, C. F. Hsu, and T. T. Lee, "Type-2 fuzzy controller design using a sliding-mode approach for application to dc-dc converters," Proc. Inst. Elect. Eng.-Elect. Power Appl., vol. 152, no. 6, pp. 1482-1488, Nov. 2005.
15. L. A. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning-I," Inf. Sci., vol. 8, no. 3, pp. 199-249, 1975.
16. J. M. Mendel, Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Upper Saddle River, NJ: Prentice-Hall, 2001.
17. M. Melgarejo, "A fast recursive method to compute the generalized centroid of an interval type-2 fuzzy set," in Proc. North Amer. Fuzzy Inf. Process. Soc., 2007, pp. 190-194. (Pubitemid 47533958)
18. H. Bernal, K. Duran, and M. Melgarejo, "A comparative study between two algorithms for computing the generalized centroid of an interval type-2 fuzzy set," in Proc. IEEE Int. Conf. Fuzzy Syst., 2008, pp. 954-959.
19. K. Duran, H. Bernal, and M. Melgarejo, "Improved iterative algorithm for computing the generalized centroid of an interval type-2 fuzzy set," in Proc. North Amer. Fuzzy Inf. Process. Soc., 2008, pp. 1-5.
20. N. N. Karnik, J. M. Mendel, and Q. Liang, "Type-2 fuzzy logic systems," IEEE Trans. Fuzzy Syst., vol. 7, no. 6, pp. 643-658, Dec. 1999. (Pubitemid 32212156)
21. J. M. Mendel, "Advance in type-2 fuzzy sets and systems," Inf. Sci., vol. 177, no. 1, pp. 84-110, Jan. 2007. (Pubitemid 44566500)
22. F. J. Lin, P. H. Chou, P. H. Shieh, and S. Y. Chen, "Robust control of an LUSM-based X-Y-θ motion control stage using an adaptive interval type-2 fuzzy neural network," IEEE Trans. Fuzzy Syst., vol. 17, no. 1, pp. 24-38, Feb. 2009.
23. C. F. Juang and Y. W. Tsao, "A type-2 self-organizing neural fuzzy system and its FPGA implementation," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 6, pp. 1537-1548, Dec. 2008.
24. C. H. Wang, C. S. Cheng, and T. T. Lee, "Dynamical optimal training for interval type-2 fuzzy neural network (T2FNN)," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 34, no. 3, pp. 1462-1477, Jun. 2004.
25. F. J. Lin and P. H. Chou, "Adaptive control of two-axis motion control system using interval type-2 fuzzy neural network," IEEE Trans. Ind. Electron., vol. 56, no. 1, pp. 178-193, Jan. 2009.
26. H. Wu and J. M. Mendel, "Uncertainty bounds and their use in the design of interval type-2 fuzzy logic systems," IEEE Trans. Fuzzy Syst., vol. 10, no. 5, pp. 622-639, Oct. 2002. (Pubitemid 35274824)
27. D. Wu and W. W. Tan, "Computationally efficient type-reduction strategies for a type-2 fuzzy logic controller," in Proc. IEEE Int. Conf. Fuzzy Syst., 2005, pp. 353-358. (Pubitemid 41189532)
28. D. Wu and J. M. Mendel, "Enhanced Karnik-Mendel algorithms," IEEE Trans. Fuzzy Syst., vol. 17, no. 4, pp. 923-934, Aug. 2009.
29. C. W. Tao, J. S. Taur, J. H. Chang, and S. F. Su, "Adaptive fuzzy switched swing-up sliding control for the double-pendulum-and-cart system," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 40, no. 1, pp. 241-252, Feb. 2010.