Piecewise fuzzy model construction and controller design based on piecewise Lyapunov function

Proceedings of the American Control Conference

Volumn , Issue , 2007, Pages 3359-3364

  Ohtake, Hiroshi ^a   Tanaka, Kazuo ^a   Wang, Hua O ^b  

^a UNIVERSITY OF ELECTRO COMMUNICATIONS   (Japan)

^b BOSTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRUCTION; DIFFERENTIAL EQUATIONS; DYNAMICS; LINEAR CONTROL SYSTEMS; LYAPUNOV FUNCTIONS; LYAPUNOV METHODS; TELECOMMUNICATION NETWORKS;

CONTROLLER DESIGNS; FUZZY MODEL (FM); NON-LINEAR DYNAMICS; PIECEWISE LYAPUNOV FUNCTION (PLF);

FUZZY LOGIC;

EID: 46449132993     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2007.4283058     Document Type: Conference Paper

References (15)

1. H. K. Khalil, Nonlinear Systems, Prentice Hall, Upper Saddle River, NJ, Third Edition, 2002.
2. K. Tanaka, and M. Sugeno, "Stability Analysis and Design of Fuzzy Control System," FUZZY SETS AND SYSTEM, vol.45, no.2, pp. 135-156, 1992.
3. H. O. Wang et. al., "An Approach to Fuzzy Control of Nonlinear Systems: Stability and Design Issues," IEEE Trans. on Fuzzy Systems, vol.4, no.1, pp. 14-23, 1996.
4. 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.
5. 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.
6. K. Tanaka and H. O. Wang, Fuzzy Control Systems Design and Analysis, JOHN WILEY & SONS, INC., 2001.
7. T. Takagi and M. Sugeno, "Fuzzy Identification of Systems and Its Applications to Modeling and Control," IEEE Trans. on Systems, Man and Cybernetics, vol.15, pp. 116-132, 1985.
8. 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.
9. H. Ohtake et. al., "A Construction Method of Switching Lyapunov Function for Nonlinear Systems," Proceedings of 2002 FUZZ-IEEE, pp.221-226, Hawaii, 2002.
10. M. Johansson, "Piecewise Linear Control Systems," Ph.D. Thesis, Department of Automatic Control, Lund Institute of Technology, Lund, Sweden, 1999.
11. G. Feng, "Controller Synthesis of Fuzzy Dynamic Systems Based on Piecewise Lyapunov Functions," IEEE Trans. on Fuzzy Systems, Vol.11, No.5 pp.605-612, 2003.
12. H. Ohtake, K. Tanaka and H. O. Wang, "Switching Fuzzy Controller Design based on Switching Lyapunov Function for a Class of Nonlinear Systems," IEEE Trans. on Systems, Man, and Cybernetics Part B, Vol. 36, No. 1, pp. 13-23, 2006.
13. H. Ohtake, K. Tanaka and H. O. Wang, "Switching Fuzzy Model Construction and Controller Design with Arbitrary Switching Planes," Proceedings of American Control Conference 2006, pp.5053-5058, 2006.
14. J. M. Ortega, Matrix Theory, Plenum Press, 1987.
15. F. R. Gantmacher, The Theory of Matrices Vol.2, AMS Chelsea Publishing, 2000.