Switching Model Construction and Stability Analysis for Nonlinear Systems

Journal of Advanced Computational Intelligence and Intelligent Informatics

Volumn 10, Issue 1, 2006, Pages 3-10

  Ohtake, Hiroshi ^a   Tanaka, Kazuo ^a  

^a UNIVERSITY OF ELECTRO COMMUNICATIONS   (Japan)

Author keywords

fuzzy model based control; sector nonlinearity; Switching fuzzy model; switching Lyapunov function

Indexed keywords

LYAPUNOV FUNCTIONS; NONLINEAR ANALYSIS; NONLINEAR PROGRAMMING; SYSTEM STABILITY;

CONSTRUCTION ANALYSIS; FUZZY MODEL BASED CONTROL; FUZZY MODELING; MODEL CONSTRUCTION; MODEL STABILITY; SECTOR NONLINEARITY; STABILITY ANALYZE; SWITCHING FUZZY MODEL; SWITCHING LYAPUNOV FUNCTION; SWITCHING MODEL;

NONLINEAR SYSTEMS;

EID: 34250733749     PISSN: 13430130     EISSN: 18838014     Source Type: Journal    
DOI: 10.20965/jaciii.2006.p0003     Document Type: Article

References (25)

1. H. K. Khalil, "Nonlinear Systems," Prentice Hall, Upper Saddle River, NJ, Third Edition, 2002.
2. K. Tanaka, and H. O. Wang, "Fuzzy Control Systems Design and Analysis," Wiley-Interscience, 2001.
3. K. Tanaka, andM. Sugeno, "Stability Analysis and Design of Fuzzy Control System," Fuzzy Sets And Systems, Vol.45, No.2, pp. 135- 156, 1992.
4. H. O. Wang, K. Tanaka, and M. Griffin, "An Approach to Fuzzy Control of Nonlinear Systems: Stability and Design Issues," IEEE Transactions on Fuzzy Systems, Vol.4, No.1, pp. 14-23, 1996.
5. K. Tanaka, T. Ikeda, and H. O.Wang, "Fuzzy Regulators and Fuzzy Observers: Relaxed Stability Conditions and LMI based Designs," IEEE Transactions on Fuzzy Systems, Vol.6, No.2, pp. 250-265, 1998.
6. D. Filev, "Algebraic Design of Fuzzy Logic Controllers," Proceeding of 1996 IEEE International Symposium on Intelligent Control, pp. 253-258, 1996.
7. D. Filev, "Gain scheduling based control of a class of TSK systems," in Fuzzy Control, Synthesis and Analysis, edited by S. Farinwata, D. Filev, and R. Langari, John Wiley & Sons, Ltd, Chichester, England, pp. 321-334, 2000.
8. S. K. Hong, and R. Langari, "Robust Fuzzy Control of Magnetic Bearing System Subject to Harmonic Disturbances," IEEE Transactions on Control Systems Technology, Vol.8, No.2, pp. 366-371, Mar., 2000.
9. G. Kang, W. Lee, and M. Sugeno, "Design of TSK fuzzy controller based on TSK fuzzy model using pole placement," Proceeding of the 7th IEEE International Conference on Fuzzy Systems, pp. 246- 251, Anchorage, AK, 1998.
10. H. Ying, and G. Chen, "Analytical Theory of Fuzzy Control with Applications," Information Sciences, Vol.123, No.3-4, pp. 161-162, 2000.
11. L. Chen, G. Chen, and Y. W. Lee, "Fuzzy Modeling and Adaptive Control of Uncertain Chaotic Systems," Information Sciences, Vol.121, No.1-2, pp. 27-37, 1999.
12. G. Chen, and D. Zhang, "Back-Driving a Truck with Suboptimal Distance Trajectories: A Fuzzy Logic Control Approach," IEEE Transactions on fuzzy systems, Vol.5, No.3, pp. 369-380, Aug., 1997.
13. D. Filev, and P. Angelov, "Fuzzy Optimal Control," Fuzzy Sets and Systems, Vol.47, pp. 151-156, 1992.
14. R. Langari, and M. Tomizuka, "Analysis and Synthesis of Fuzzy Linguistic Control Systems," Proceeding of the 1990 ASMEWinter Annual Meeting, pp. 35-42, 1990.
15. R. Langari, "A Nonlinear Formulation of a Class of Fuzzy Linguistic Control Algorithms," Proceeding of the 1992 American Control Conference, pp. 2273-2278, Chicago, IL, 1992.
16. Y. Huang, and S. Yasunobu, "A General Predictive Fuzzy Control with Disturbance Rejection Property and its Application to the Time-delay nonlinear System," Proceeding of the 8th IFSA World Congress, pp. 524-527, Taipei, Taiwan, 1999.
17. Y. Huang, and S. Yasunobu, "A General Practical Design Method for Fuzzy PID Control from Conventional PID Control," Proceeding of the 9th IEEE International Conference on Fuzzy Systems, Vol.2, pp. 969-972, San Antonio, Texas, 2000.
18. M. Sugeno, "On Stability of Fuzzy Systems Expressed by Fuzzy Rules with Singleton Consequents," IEEE Transactions on Fuzzy Systems, Vol.7, No.2, pp. 201-224, April, 1999.
19. H. Yamamoto, and T. Furuhashi, "A new sufficient condition for stable fuzzy control system and its design method," IEEE Transactions on Fuzzy Systems, Vol.9, No.2, pp. 554-569, 2001.
20. T. Furuhashi, et al., "Fuzzy Control Stability Analysis Using Generalized Fuzzy Petri Net Model," Journal of Advanced Computational Intelligence, Vol.3, No.2, pp. 99-105, 1999.
21. T. Hasegawa, and T. Furuhashi, "Stability Analysis of Fuzzy Control Systems Simplified as a Discrete System," International Journal of Control and Cybernetics, Vol.27, No.4, pp. 565-577, 1998.
22. T. Takagi, and M. Sugeno, "Fuzzy Identification of Systems and Its Applications to Modeling and Control," IEEE Transactions on Systems, Man and Cybernetics, Vol.15, pp. 116-132, 1985.
23. M. Johansson, "Piecewise Linear Control Systems," Ph.D. Thesis, Department of Automatic Control, Lund Institute of Technology, Lund, Sweden, 1999.
24. K. Tanaka, T. Hori, and H. O.Wang, "A Fuzzy Lyapunov Approach to Fuzzy Control System Deign," Proceeding of 2001 American Control Conference, pp. 4790-4795, Arlington, 2001.
25. H. Ohtake, K. Tanaka, and H. O. Wang, "Fuzzy Modeling via Sector Nonlinearity Concept," Integrated Computer-Aided Engineering, Vol.10, No.4, pp. 333-341, 2003.