Fuzzy filter design for nonlinear systems in finite-frequency domain

IEEE Transactions on Fuzzy Systems

Volumn 18, Issue 5, 2010, Pages 935-945

  Ding, Da Wei ^a,b   Yang, Guang Hong ^c  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY BEIJING   (China)

^b NORTHEASTERN UNIVERSITY   (China)

^c KEY LABORATORY OF INTEGRATED AUTOMATION OF PROCESS INDUSTRY   (China)

Author keywords

Basis dependent Lyapunov function; finite frequency; fuzzy filter; TakagiSugeno (TS) fuzzy systems

Indexed keywords

ATTENUATION PERFORMANCE; BASIS-DEPENDENT LYAPUNOV FUNCTION; DIODE CIRCUITS; DISCRETE-TIME NONLINEAR SYSTEMS; ERROR SYSTEMS; FILTER DESIGNS; FILTERING METHOD; FINITE FREQUENCY; FREQUENCY DOMAINS; FREQUENCY RANGES; HIGH FREQUENCY HF; SUFFICIENT CONDITIONS; TAKAGI SUGENO FUZZY SYSTEMS; TAKAGI-SUGENO;

DIFFERENTIAL EQUATIONS; FILTER BANKS; FREQUENCY DOMAIN ANALYSIS; FUZZY SETS; FUZZY SYSTEMS; LYAPUNOV FUNCTIONS; NONLINEAR SYSTEMS;

FUZZY FILTERS;

EID: 77957762426     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2010.2058807     Document Type: Article

References (40)

1. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control", IEEE Trans. Syst., Man, Cybern., vol. SMC-15, no. 1, pp. 116-132, Jan./Feb. 1985.
2. K. Tanaka and M. Sugeno, "Stability analysis and design of fuzzy systems", Fuzzy Sets Syst., vol. 45, pp. 135-156, 1992.
3. K. Tanaka, T. Ikeda, and H. Wang, "Fuzzy regulators and fuzzy observers: Relaxed stability conditions and LMI-based designs", IEEE Trans. Fuzzy Syst., vol. 6, no. 2, pp. 250-265, May 1998.
4. E. Kim and H. Lee, "New approaches to relaxed quadratic stability condition of fuzzy control systems", IEEE Trans. Fuzzy Syst., vol. 8, no. 5, pp. 523-534, Oct. 2000.
5. ∞ control designs for T-S fuzzy systems", IEEE Trans. Fuzzy Syst., vol. 11, no. 6, pp. 830-839, Dec. 2003.
6. C. Fang, Y. Liu, S. Kau, L. Hong, and C. H. Lee, "A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control systems", IEEE Trans. Fuzzy Syst., vol. 14, no. 3, pp. 386-397, Jun. 2006.
7. A. Sala and C. Arino, "Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: Applications of Polya's theorem", Fuzzy Sets Syst., vol. 158, pp. 2672-2686, 2007.
8. M. Johansson, A. Rantzer, and K. E. Arzen, "Piecewise quadratic stability of fuzzy systems", IEEE Trans. Fuzzy Syst., vol. 7, no. 6, pp. 713-722, Dec. 1999.
9. ∞ controller design of fuzzy dynamic systems based on piecewise Lyapunov functions", IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 34, no. 1, pp. 283-292, Feb. 2004.
10. ∞ state-feedback controller design for discrete time fuzzy systems using fuzzy weighting-dependent Lyapunov functions", IEEE Trans. Fuzzy Syst., vol. 11, no. 2, pp. 271-278, Apr. 2003.
11. T. Guerra and L. Vermeiren, "LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form", Automatica, vol. 40, no. 5, pp. 823-829, 2004.
12. ∞ control for discrete fuzzy systems via basis-dependent Lyapunov functions", Inf. Sci., vol. 174, pp. 197-217, 2005.
13. K. Tanaka, T. Hori, and H. O. Wang, "A multiple Lyapunov function approach to stabilization of fuzzy control systems", IEEE Trans. Fuzzy Syst., vol. 11, no. 4, pp. 582-589, Aug. 2003.
14. ∞ fuzzy control for continuoustime nonlinear systems with actuator failures", IEEE Trans. Fuzzy Syst., vol. 14, no. 5, pp. 609-618, Oct. 2006.
15. H. K. Lam and F. H. F. Leung, "LMI-based stability and performance for continuous-time nonlinear systems in Takagi-Sugeno's form", IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 37, no. 5, pp. 1396-1406, Oct. 2007.
16. 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.
17. K. Tanaka and H. O. Wang, Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach. New York: Wiley, 2001.
18. ∞ filtering for fuzzy dynamical systems with D-stability constraints", IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 50, no. 11, pp. 1503-1508, Nov. 2003.
19. ∞ filter design for uncertain Takagi-Sugeno fuzzy systems with time delay", Eng. Appl. Artif. Intell., vol. 17, pp. 645-659, 2004.
20. ∞ filtering of fuzzy dynamic systems", IEEE Trans. Aerosp. Electron. Syst., vol. 41, no. 2, pp. 658-671, Apr. 2005.
21. ∞ filter design for time-delay fuzzy systems", IEEE Trans. Signal Process., vol. 55, no. 6, pp. 2746-2751, Jun. 2007. (Pubitemid 46851639)
22. ∞ filtering of discrete-time fuzzy systems via basis-dependent Lyapunov function approach", Fuzzy Sets Syst., vol. 158, pp. 180-193, 2007. (Pubitemid 44716350)
23. ∞ fuzzy filtering of nonlinear systems with intermittent measurements", IEEE Trans. Fuzzy Syst., vol. 17, no. 2, pp. 291-300, Apr. 2009.
24. ∞ filtering for fuzzy systems with immeasurable premise variables: An uncertain system approach", Fuzzy Sets Syst., vol. 160, pp. 1738-1748, 2009.
25. H. J. Lee, J. B. Park, and Y. H. Joo, "Digitalizing a fuzzy observer-based output-feedback control: Intelligent digital redesign approach", IEEE Trans. Fuzzy Syst., vol. 13, no. 5, pp. 701-716, Oct. 2005.
26. K. Y. Lian and J. J. Liou, "Output tracking control for fuzzy systems via output feedback design", IEEE Trans. Fuzzy Syst., vol. 14, no. 5, pp. 628-639, Oct. 2006.
27. ∞ fuzzy output feedback control design for nonlinear dynamic systems: An LMI approach", IEEE Trans. Fuzzy Syst., vol. 8, no. 3, pp. 249-265, Jun. 2000.
28. K. Preuss, "On the design of FIR filters by complex Chebyshev approximation", IEEE Trans. Acoust., Speech, Signal Process., vol. 37, no. 5, pp. 702-712, May 1989.
29. L. J. Karam and J. H. McClellan, "Chebyshev digital FIR filter design", Signal Process, vol. 76, pp. 17-36, 1999.
30. T. Iwasaki and S. Hara, "Generalized KYP lemma: Unified frequency domain inequalities with design applications", IEEE Trans. Autom. Control, vol. 50, no. 1, pp. 41-59, Jan. 2005.
31. T. Iwasaki and S. Hara, "Feedback control synthesis of multiple frequency domain specifications via generalized KYP lemma", Int. J. Robust Nonlinear Control, vol. 17, pp. 415-434, 2007.
32. H. Wang and G. H. Yang, "A finite frequency domain approach to fault detection for linear discrete-time systems", Int. J. Control, vol. 81, no. 7, pp. 1162-1171, 2008.
33. T. Iwasaki, S. Hara, and A. L. Fradkov, "Time domain interpretations of frequency domain inequalities on (semi) finite ranges", Syst. Control Lett., vol. 54, pp. 681-691, 2005.
34. H. Tuan, P. Apkarian, T. Narikiyo, and Y. Yamamoto, "Parameterized linear matrix inequality techniques in fuzzy control system design", IEEE Trans. Fuzzy Syst., vol. 8, no. 2, pp. 324-332, Apr. 2001.
35. ∞ filtering for uncertain discrete-time systems", Automatica, vol. 40, no. 5, pp. 873-880, 2004.
36. ∞ filtering for uncertain linear systems", Automatica, vol. 42, no. 11, pp. 1919-1926, 2006. (Pubitemid 44436051)
37. T. Coleman, M. Branch and A. Grace, Optimization Toolbox for Use With Matlab. Natick, MA: The MathWorks, 1999.
38. ∞ control", Int. J. Robust Nonlinear Control, vol. 4, no. 4, pp. 421-448, 1994.
39. F. Uhlig, "A recurring theorem about pairs of quadratic forms and extensions: A survey", Linear Algebra Appl., vol. 25, no. 6, pp. 219-237, 1979.
40. E. Pawluszewicz and Z. Bartosiewicz, "Euler's discretization and dynamic equivalence of nonlinear control systems", Nonlinear Control, vol. 2, pp. 183-191, 2001.