On-line adaptive interval type-2 fuzzy controller design via stable SPSA learning mechanism

International Journal of Fuzzy Systems

Volumn 14, Issue 4, 2012, Pages 489-500

  Lee, Ching Hung ^a   Chang, Feng Yu ^b   Lin, Chih Min ^b  

^a NATIONAL CHUNG HSING UNIVERSITY   (Taiwan)

^b YUAN ZE UNIVERSITY   (Taiwan)

Author keywords

Interval type 2 fuzzy neural system; Lyapunov theorem; On line control; Simultaneous perturbation stochastic approximation algorithm; Uncertainty bounds

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; APPROXIMATION ALGORITHMS; CONTROLLERS; EMBEDDED SYSTEMS; FUZZY INFERENCE; FUZZY NEURAL NETWORKS; LYAPUNOV METHODS; OPTIMIZATION; STOCHASTIC CONTROL SYSTEMS; STOCHASTIC SYSTEMS;

FUZZY CONTROLLER DESIGN; FUZZY NEURAL SYSTEMS; INTERVAL TYPE-2 FUZZY; INTERVAL TYPE-2 FUZZY NEURAL SYSTEM; LYAPUNOV THEOREMS; ON-LINE CONTROLS; SIMULTANEOUS PERTURBATION STOCHASTIC APPROXIMATION; SIMULTANEOUS PERTURBATION STOCHASTIC APPROXIMATION ALGORITHMS; TAKAGI-SUGENO; UNCERTAINTY BOUNDS;

CLOSED LOOP SYSTEMS;

EID: 84874057027     PISSN: 15622479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (34)

1. L. A. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning-1, " Information Sciences, vol. 8, no.3, pp. 199-249, 1975.
2. Q. Liang and J. M. Mendel, "Interval type-2 fuzzy logic systems: Theory and design, " IEEE Trans. Fuzzy Systems, vol. 8, no. 5, pp. 535-550, 2000.
3. J. M. Mendel, "On the importance of interval sets in type-2 fuzzy logic systems, " J. 9th IFSA World Congress 20th NAFIPS Int. Conf., vol. 3, pp. 1647-1652, 2001.
4. J. Cao, X. Ji, P. Li, and Liu, "Design of Adaptive Interval Type-2 Fuzzy Control System and Its Stability, " Int. J. of Fuzzy Systems, vol. 13, no. 4, pp. 335-343, 2011.
5. O. Castillo, "Interval type-2 fuzzy logic for control application, " IEEE Int. Conf. on Granular Computing, pp. 79-84, 2010.
6. X. T. Chen and W. W. Tan, "A type-2 fuzzy logic controller for dynamic positioning systems, " IEEE Int. Conf. on Control and Automation, pp. 1013-1018, 2010.
7. H. A. Hagras, "A hierarchical type-2 fuzzy logic control architecture for autonomous mobile robot, " IEEE Trans. Fuzzy Systems, vol. 12, no. 4, pp. 524-539, 2004.
8. H. A. Hagras, "Type-2 fuzzy control: A new generation of fuzzy controllers, " IEEE Computational Intelligence Magazine, vol. 2, no. 1, pp. 30-43, 2007.
9. D. Wu and W. W. Tan, "A simplified architecture for type-2 FLSs and its application to nonlinear control, " IEEE Conf. on Cybernetics and Intelligent Systems, pp. 485-490, 2004.
10. M. Y. Hsiao, C. Y. Chen, and T.-H. S. Li, "Interval type-2 adaptive fuzzy sliding-mode dynamic control design for wheeled mobile robots, " Int. J. of Fuzzy Systems, vol. 10, no. 4, 268-275, 2008.
11. C. C. Chuang, J. T. Jeng, and C. W. Tao, "Two-stages support vector regression for fuzzy neural networks with outliers, " Int. J. of Fuzzy Systems, vol. 11, no. 1, pp. 20-28, 2009.
12. C. H. Lee and C. C. Teng, "Control of a nonlinear dynamic system via adaptive saturation PID Control Scheme, " Int. J. of Fuzzy Systems, vol. 4, no. 4, pp. 922-927, 2002.
13. C. T. Lin, C. T. Yang, and M. T. Su, "A hybridization of immune algorithm with particle swarm optimization for neuro-fuzzy classifiers, " Int. J. of Fuzzy Systems, vol. 10, no. 3, pp. 139-149, 2008.
14. C. H. Lee and H. T. Cheng, "Identification and fuzzy controller design for nonlinear uncertain systems with input time-delay, " Int. J. of Fuzzy Systems, vol. 11, no. 2, pp. 73-86, 2009.
15. Y. Gao and M. J. Er, "Online adaptive fuzzy neural identification and control of a class of MIMO nonlinear systems, " IEEE Trans. Fuzzy Systems, vol. 11, no. 4, pp. 462-477, 2003.
16. C. H. Lee and C. C. Teng, "Identification and control of dynamic systems using recurrent fuzzy neural networks, " IEEE Trans. Fuzzy Systems, vol. 8, no. 4, pp. 349-366, 2000.
17. R. J. Wai and P. C. Chen, "Intelligent tracking control for robot manipulator including actuator dynamics via TSK-type fuzzy neural network, " IEEE Trans. Fuzzy Systems, vol. 12, no. 4, pp. 552-560, 2004.
18. J. R. Castro, O. Castillo, P. Melin, and A. R. Díaz, "A hybrid learning algorithm for a class of interval type-2 fuzzy neural networks, " Information Sciences, vol. 179, no. 13, pp. 2175-2193, 2009.
19. C. F. Juang and Y. W. Tsao, "A type-2 self-organizing neural fuzzy system and its FPGA implementation, " IEEE Trans. Systems, Man, and Cybernetics, Part B: Cybernetics, vol. 38, no. 6, pp. 1537-1548, 2008.
20. C. H. Lee and Y. C. Lin, "An adaptive type-2 fuzzy neural controller for nonlinear uncertain systems, " Control and Intelligent Systems, vol. 12, no. 1, pp. 41-50, 2005.
21. C. H. Lee, C. T. Li, and F. Y. Chang, "A species- based improved electromagnetism-like mechanism algorithm for TSK-type interval-valued neural fuzzy system optimization, " Fuzzy Sets and Systems, vol. 171, no. 1, pp. 22-43, 2011.
22. F. J. Lin and P. H. Chou, "Adaptive control of two-axis motion control system using interval type-2 fuzzy neural network, " IEEE Trans. Industrial Electronics, vol. 56, no. 1, pp. 178-193, 2009.
23. N. N. Karnik and J. M. Mendel, "Centroid of a type-2 fuzzy set, " Information Sciences, vol. 132, no. 1-4, pp. 195-220, 2001.
24. C. Lynch, H. Hagras, and V. Callaghan, "Embedded type-2 FLC for real-time speed control of marine and traction diesel engines, " Proc.s of IEEE FUZZ Conf., Reno, NV, pp. 347-352, 2005.
25. M. C. A. Melgarejo, A. Garcia, and C. A. Penha-Reyes, "Pro-two: a hardware based platform for real time type-2 fuzzy inference, " Proc. of IEEE FUZZ Conf., Budapest, Hungary, pp. 977-982, 2004.
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 Systems, vol. 10, no.5, pp. 622-639, 2002.
27. J. C. Spall, "Multivariate stochastic approximation using a simultaneous perturbation gradient approximation, " IEEE Trans. Automatic Control, vol. 37, no. 3, pp. 332-341, 1992.
28. J. C. Spall and J. A. Cristion, "Model free control of nonlinear stochastic systems with discrete-time measurements, " IEEE Trans. Automatic Control, vol. 43, no. 9, pp. 1198-1210, 1998.
29. J. C. Spall, Introduction to Stochastic Search and Optimization: Estimation, Simulation, and Control, John Wiley and Sons, Hoboken, NJ, 2003.
30. J. F. Baldwin and S. B. Karake, "Asymmetric triangular fuzzy sets for classification models, " Lecture Notes in Artificial Intelligence, vol. 2773, pp. 364-370, 2003.
31. C. H. Lee and H. Y. Pan, "Performance enhancement for neural fuzzy systems using asymmetric membership functions, " Fuzzy Sets and Systems, vol. 160, no. 7, pp. 949-971, 2009.
32. J. J. E. Slotine and W. Li, Applied Nonlinear Control, Prentice-Hall, Upper Saddle River, NJ, 1991.
33. C. H. Wang, T. C. Lin, T. T. Lee, and H. L. Liu, "Adaptive hybrid intelligent control for uncertain nonlinear dynamical systems, " IEEE Trans. Systems, Man, Cybernetics, Part B: Cybernetics, vol. 32, no. 5, pp. 583-597, 2002.ems, Man, Cybernetics, Part B: Cybernetics, vol. 32, no. 5, p.
34. J. Tanomaru and S. Omatu, "Process control by on-line trained neural controllers, " IEEE Trans. Industrial Electronics, vol. 39, no. 6, pp. 511-521, 1992.