Stability analysis and control of discrete type-1 and type-2 TSK fuzzy systems: Part II. Control design

IEEE Transactions on Fuzzy Systems

Volumn 19, Issue 6, 2011, Pages 1001-1013

  Jafarzadeh, Saeed ^a   Fadali, M Sami ^a   Sonbol, Assem H ^b  

^a UNIVERSITY OF NEVADA   (United States)

^b Power Generation Engineering and Services Company   (Egypt)

Author keywords

Feedback control; Takagi Sugeno Kang (TSK) systems; type 2 fuzzy systems

Indexed keywords

COMMON LYAPUNOV FUNCTIONS; CONTROL DESIGN; CONTROL SYSTEM DESIGNS; CONTROLLER DESIGNS; DESIGN METHODOLOGY; EXPONENTIAL CONVERGENCE; EXPONENTIALLY STABLE; PHYSICAL SYSTEMS; PROPORTIONAL INTEGRAL CONTROLLERS; STABILITY ANALYSIS; STABILITY CONDITION; TAKAGI-SUGENO-KANG FUZZY SYSTEM; TAKAGI-SUGENO-KANG SYSTEMS; TSK FUZZY SYSTEM; TYPE-2 FUZZY SYSTEMS;

CONTROLLERS; DESIGN; FEEDBACK CONTROL; FUZZY SYSTEMS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; STATE FEEDBACK; SYSTEMS ANALYSIS;

CONTROL SYSTEM STABILITY;

EID: 82455164458     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2011.2158219     Document Type: Article

References (38)

1. C. W. Ting and C. Quek, "A novel blood glucose regulation using TSKFCMAC: A fuzzy CMAC based on the zero-ordered TSK fuzzy inference scheme" IEEE Trans. Neural Netw., vol. 20, no. 5, pp. 856-871, May 2009.
2. J. P. Ferreira, M. M. Crisostomo, and A. P. Coimbra, "SVR versus neuralfuzzy network controllers for the sagittal balance of a biped robot" IEEE Trans. Neural Netw., vol. 20, no. 12, pp. 1885-1897, Dec. 2009.
3. P. C. Chang and C. Y. Fan, "A hybrid system integrating a wavelet and TSK fuzzy rules for stock price forecasting" IEEE Trans. Syst., Man Cybern., C, vol. 38, no. 6, pp. 802-815, Nov. 2008.
4. K. Tanaka and M. Sugeno, "Stability analysis and design of fuzzy control systems" Fuzzy Sets Syst., vol. 45, no. 2, pp. 135-156, Jan. 1992.
5. K. Tanaka and H. O. Wang, Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach. Hoboken, NJ: Wiley, 2001.
6. H. Ying, "Deriving analytical input-output relationship for fuzzy controllers using arbitrary input fuzzy sets and Zadeh fuzzy AND operator" IEEE Trans. Fuzzy Syst., vol. 14, no. 5, pp. 654-662, Oct. 2006.
7. S. J. Ho, L. S. Shu, and S. Y. Ho, "Optimizing fuzzy neural networks for tuning PID controllers using an orthogonal simulated annealing algorithm OSA" IEEE Trans. Fuzzy Syst., vol. 14, no. 3, pp. 421-434, Jun. 2006.
8. A. V. Sant and K. R. Rajagopal, "PM synchronous motor speed control using hybrid fuzzy-PI with novel switching functions" IEEE Trans. Magn., vol. 45, no. 10, pp. 4672-4675, Oct. 2009.
9. A. Luo, C. Tang, Z. Shuai, J. Tang, X. Y. Xu, and D. Chen, "Fuzzy-PIbased direct-output-voltage control strategy for the STATCOM used in utility distribution systems" IEEE Trans. Ind. Electron., vol. 56, no. 7, pp. 2401-2411, Jul. 2009.
10. F. U. Syed, M. L. Kuang, M. Smith, S. Okubo, and H. Ying, "Fuzzy gainscheduling proportional-integral control for improving engine power and speed behavior in a hybrid electric vehicle" IEEE Trans. Veh. Technol., vol. 58, no. 1, pp. 69-84, Jan. 2009.
11. R. Shahnazi and M. R. Akbarzadeh, "PI adaptive fuzzy control with large and fast disturbance rejection for a class of uncertain nonlinear systems" IEEE Trans. Fuzzy Syst., vol. 16, no. 1, pp. 187-197, Feb. 2008.
12. R. J. Wai, "Fuzzy sliding-mode control using adaptive tuning technique" IEEE Trans. Ind. Electron., vol. 54, no. 1, pp. 586-594, Feb. 2007.
13. H. H. Choi, "Robust stabilization of uncertain fuzzy systems using variable structure system approach" IEEE Trans. Fuzzy Syst., vol. 16, no. 3, pp. 715-724, Jun. 2008.
14. M Wang, B. Chen, and S. L. Dai, "Direct adaptive fuzzy tracking control for a class of perturbed strict-feedback nonlinear systems" Fuzzy Sets Syst., vol. 158, no. 10, pp. 1126-1137, Jun. 2007.
15. P. A. Phan and T. J. Gale, "Direct adaptive fuzzy control with a selfstructuring algorithm" Fuzzy Sets Syst., vol. 159, no. 8, pp. 871-899, Sep. 2008.
16. S. S. Chen, Y. C. Chang, S. F. Su, S. L. Chung, and T. T. Lee, "Robust static output-feedback stabilization for nonlinear discrete-time systems with time delay via fuzzy control approach" IEEE Trans. Fuzzy Syst., vol. 13, no. 2, pp. 263-272, Apr. 2005.
17. T. H. S. Li and K. J. Lin, "Stabilization of singularly perturbed fuzzy systems" IEEE Trans. Fuzzy Syst., vol. 12, no. 5, pp. 579-595, Oct. 2004.
18. X. Q. Zuo and Y. S. Fan, "A chaos search immune algorithm with its application to neuro-fuzzy controller design" Chaos Solitons Fractals, vol. 30, no. 1, pp. 94-109, Oct. 2006.
19. Y. Boutalis, D. C. Theodoridis, and M. A. Christodoulou, "A new neuro-FDS definition for indirect adaptive control of unknown nonlinear systems using a method of parameter hopping" IEEE Trans. Neural Netw., vol. 20, no. 4, pp. 609-625, Apr. 2009.
20. G. Feng, "A survey on analysis and design of model-based fuzzy control systems" IEEE Trans. Fuzzy Syst., vol. 14, no. 5, pp. 676-697, Oct. 2006.
21. J. M. Mendel, "Type-2 fuzzy sets and systems: An overview" IEEE Comput. Intell. Mag., vol. 2, no. 1, pp. 20-29, Feb. 2007.
22. L. A. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning-1" Inform. Sci., vol. 8, pp. 199-249, 1975.
23. Q. Liang and J. M. Mendel, "An introduction to type-2 TSK fuzzy logic systems" presented at the IEEE Int. Conf. Fuzzy Syst., Seoul, Korea, pp. 1534-1539, Aug. 1999.
24. J. M. Mendel, Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Upper Saddle River, NJ: Prentice-Hall, 2001.
25. 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.
26. R. John and S. Coupland, "Type-2 fuzzy logic: A historical view" IEEE Comput. Intell. Mag., vol. 2, no. 1, pp. 57-62, Feb. 2007.
27. J. Cao, P. Li, and H. Liu, "An interval fuzzy controller for vehicle active suspension systems" IEEE Trans. Intell. Transp. Syst., vol. 11, no. 4, pp. 885-895, Dec. 2010.
28. E. Jammeh, M. Fleury, C. Wagner, H. Hagras, and M. Ghanbari, "Interval type-2 fuzzy logic congestion control for video streaming across IP networks" IEEE Trans. Fuzzy Syst., vol. 17, no. 5, pp. 1123-1142, Oct. 2009.
29. C. Lynch and H. Hagras, "Developing type-2 fuzzy logic controllers for handling the uncertainties in marine diesel engine speed control" J. Comput. Intell. Res., vol. 4, no. 4, pp. 402-420, May 2009.
30. J. Zeng and Z. Q. Liu, "Type-2 fuzzy hidden Markov models and their application to speech recognition" IEEE Trans. Fuzzy Syst., vol. 14, no. 3, pp. 454-467, Jun. 2006.
31. J. Zeng and Z. Q. Liu, "Type-2 fuzzy Markov random fields and their application to handwritten Chinese character recognition" IEEE Trans. Fuzzy Syst., vol. 16, no. 3, pp. 747-760, Jun. 2008.
32. C. S. Lee, M. H. Wang, and H. Hagras, "A type-2 fuzzy ontology and its application to personal diabetic-diet recommendation" IEEE Trans. Fuzzy Syst., vol. 18, no. 2, pp. 374-395, Apr. 2010.
33. H. K. Lam and L. D. Seneviratne, "Stability analysis of interval type-2 fuzzy-model-based control systems" IEEE Trans. Fuzzy Syst., vol. 38, no. 3, pp. 617-628, Jun. 2008.
34. M. Biglarbegian, W. W. Melek, and J. M. Mendel, "On the stability of interval Type-2 TSK fuzzy logic control systems" IEEE Trans. Syst., Man Cybern., B, vol. 40, no. 3, pp. 798-818, Jun. 2010.
35. X. Du and H. Ying, "Derivation and analysis of the analytical structures of the interval type-2 fuzzy-PI and PD controllers" IEEE Trans. Fuzzy Syst., vol. 18, no. 4, pp. 802-814, Aug. 2010.
36. T. Zhang, G. Feng, H. Liu, and J. Lu, "Piecewise fuzzy anti-windup dynamic output feedback control of nonlinear processes with amplitude and rate actuator saturations" IEEE Trans. Fuzzy Syst., vol. 17, no. 2, pp. 253-264, Apr. 2009.
37. S. S. Farinwata, D. Filev, and R. Langari, Fuzzy Control: Synthesis and Analysis. Hoboken, NJ: Wiley, 2000.
38. M. S. Fadali, S. Jafarzadeh, and A. Nafeh, "Fuzzy TSK approximation using Type-2 fuzzy logic systems and its application to modeling a photovoltaic array" Am. Control Conf., pp. 6454-6459, 2010.