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2005 | 15 | 3 | 383-391
Tytuł artykułu

Non-quadratic performance design for Takagi-Sugeno fuzzy systems

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper improves controller synthesis of discrete Takagi-Sugeno fuzzy systems based on non-quadratic Lyapunov functions, making it possible to accomplish various kinds of control performance specifications such as decay rate conditions, requirements on control input and output and disturbance rejection. These extensions can be implemented via linear matrix inequalities, which are numerically solvable with commercially available software. The controller design is illustrated with an example.
Słowa kluczowe
Rocznik
Tom
15
Numer
3
Strony
383-391
Opis fizyczny
Daty
wydano
2005
otrzymano
2004-10-24
poprawiono
2005-03-02
(nieznana)
2005-05-21
Twórcy
  • Department of Control Engineering, Faculty of Electrical Engineering, Czech Technical University in Prague, Technicka 2, 166-27, Prague 6, Czech Republic
autor
  • Department of Control Engineering, Faculty of Electrical Engineering, Czech Technical University in Prague, Technicka 2, 166-27, Prague 6, Czech Republic
Bibliografia
  • Bernal M. and Hušek P. (2004a): Piecewise quadratic stability of parallel-distributed compensatedi Takagi-Sugeno fuzzy systems. - Proc. Int. Conf. Methods and Models inAutomation and Robotics, Międzyzdroje, Poland, pp. 1417-1422.
  • Bernal M. and Hušek P. (2004b): Piecewise quadratic stability of affine Takagi-Sugeno fuzzy control systems. - Proc. Advanced Fuzzy-Neural Control Conference, Oulu, Finland, pp. 157-162.
  • Bernal M. and Hušek P. (2004c): Piecewise Quadratic Stability of Discrete-time Takagi-Sugeno Fuzzy Systems. - Proc. 2nd IFAC Symp. Syst., Structure and Control, Oaxaca, Mexico, pp. 771-775.
  • Bernal M. and Hušek P. (2005a): Decay rate fuzzy controller design with piecewise Lyapunov functions. - Proc. 24th IASTED Int. Conf. Modeling, Identification and Control, Innsbruck, Austria, on CD-ROM.
  • Bernal M. and Hušek P. (2005b): Controller synthesis with input and output constraints for fuzzy systems. - Proc. 16th IFAC World Congress, Prague, Czech Republic, on DVD-ROM.
  • Bernal M. and Hušek P. (2005c): Non-quadratic discrete fuzzy controller design performing decayrate. - Proc. Int. Conf. FUZZ-IEEE, Reno, U.S.A., on CD-ROM.
  • Farinwata S. S. and Vachtsevanos G. (1993): Stability analysis of the fuzzy logic controller. - Proc. IEEE CDC, San Antonio, U.S.A., pp. 1377-1382.
  • Feng, G. (2003): Controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions. - IEEE Trans. Fuzzy Syst., Vol. 11, pp. 605-612.
  • Feng G. (2004): Stability analysis of discrete time fuzzy dynamic systems based on piecewise Lyapunov functions. - IEEE Trans. Fuzzy Syst.,Vol. 12, pp. 22-28.
  • Guerra T.M. and Vermeiren L. (2004): LMI-based relaxed non-quadratic stabilization conditions for nonlinear systems in Takagi-Sugeno's form. - Automatica, Vol. 40, pp. 823-829.
  • Johansson M., Rantzer A. and Arzen K. (1999): Piecewise quadratic stability of fuzzy systems. - IEEE Trans. Fuzzy Syst., Vol. 7, pp. 713-722.
  • Rantzer A. and Johansson M. (2000): Piecewise linear quadratic optimal control. - IEEE Trans. Automat. Contr., Vol. 45, pp. 629-637.
  • Tanaka K., Hori T. and Wang H.O.(2003): Amultiple function approach to stabilization of fuzzy control systems. - IEEE Trans. Fuzzy Syst., Vol. 11, pp. 582-589.
  • Takagi T. and Sugeno M. (1985): Fuzzy identification of systems and its applications to modeling and control. - IEEE Trans.Syst., Man Cybern., Vol. 15, pp. 116-132.
  • Tanaka K. and Wang H. O. (2001): Fuzzy Control Systems Design and Analysis. - New York: Wiley .
  • Tanaka K. and Sano M. (1994): A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer. - IEEE Trans. Fuzzy Syst.,Vol. 2, pp. 119-134.
  • Tanaka K. and Sugeno M. (1990): Stability analysis of fuzzy systems using Lyapunov's direct method. - Proc. North American Fuzzy Information Processing Society (NAFIPS'90), Canada: Toronto, pp. 133-136.
  • Tanaka K. and Sugeno M. (1992): Stability analysis and design of fuzzy control systems. - Fuzzy Sets Syst., Vol. 45,No. 2, pp. 135-156.
  • Tanaka K., Ikeda T. and Wang H. O. (1998): Fuzzy regulators and fuzzy observers: Relaxed stability conditions and LMI-based designs. - IEEE Trans. Fuzzy Syst.,Vol. 6, pp. 250-264.
  • Wang H. O., Tanaka K. and Griffin M. (1996): An approach to fuzzy control of nonlinear systems: Stability and design issues. - IEEE Trans. Fuzzy Syst., Vol. 4, pp. 14-23.
Typ dokumentu
Bibliografia
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