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Stability analysis of nonlinear control systems with unconstrained fuzzy predictive controllers

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Stability analusis of nonlinear control systems with unconstrained fuzzy predictive controllers using input-output plant models (e.g. DMC, GPC) and nonlinear plants with delays is discussed in the paper. The idea is precisely explained using an example of control systems with fuzzy DMC (FDMC) controllers. The considered FDMC controller is based on analytical formulation of the DMC predictive control algorithm and Takagi-Sugeno fuzzy modeling. The atability analysis of the closed-loop nonlinear control system is based on a transformation of its description to the appropriate stste-space form. Theh the Tanaka-Sugeno stability criterion can be applied, consisting in solving a set of Lyapunov-type inequalities. The design procedure including the stability analysis is illustrated on examples.
Rocznik
Strony
267--288
Opis fizyczny
Bibliogr. 18 poz., rys. tab.
Twórcy
autor
  • Warsaw University of Technology, Institute of Control and Computation Engineering; Nowowiejska 15/19, 00–665 Warsaw, Poland
autor
  • Warsaw University of Technology, Institute of Control and Computation Engineering; Nowowiejska 15/19, 00–665 Warsaw, Poland
Bibliografia
  • [1] E.F. Camacho and C. Bordons: Model predictive control. Springer, 1999.
  • [2] S.G. Cao, N.W. Rees and G. Feng: Stability analysis of fuzzy control systems. IEEE Trans. on Systems, Man and Cybernetics - Part B, 26(1), (1996), 201-204.
  • [3] M. Chadli , D. Maquin and J. Ragot: Relaxed stability conditions for Takagi-Sugeno fuzzy models. Proc. Systems, Man and Cybernetics, (2000), 3514-3519.
  • [4] C.M. Cheng, N.W. Rees, S.G. Cao and G. Feng: Control design of nonlinear systems using fuzzy model and genetic algorithm. Proc. 13th IFACWorld Congress, (1996), 127-132.
  • [5] D.W. Clarke, C. Mohtadi and P.S. Tuffs: Generalized predictive control. Automatica, 23 (1987), 137-160.
  • [6] C.R. Cutler and B.L. Ramaker: Dynamic Matrix Control - a computer control algorithm. Proc. of the JACC, (1979).
  • [7] P.D. Domanski, M.A. Brdys and P. Tatjewski: Design and stability of fuzzy logic multi-regional output controllers. Proc. European Control Conference, Brussels, Belgium, (1997), TU-EG5.
  • [8] J. Joh, Y.-H. Chen and R. Langari: On the stability issues of linear Takagi-Sugeno fuzzy models. IEEE Trans. on Fuzzy Systems, 6 (1998), 402-410.
  • [9] P. Marusak and J. Pulaczewski: Special advantages of control algorithm Dynamic Matrix Control (DMC). Pomiary Automatyka Kontrola, 12 (1999), 39-43 (in Polish).
  • [10] P. Marusak and P. Tatjewski: Fuzzy Dynamic Matrix Control algorithms for nonlinear plants. Proc. 6th Int. Conf. on Methods and Models in Automation and robotics, Miedzyzdroje, Poland, (2000), 749-754.
  • [11] P. Marusak and P. Tatjewski: Stability analysis of nonlinear control systems with fuzzy DMC controllers. Proc. IFAC Workshop on Advanced Fuzzy and Neural Control, Valencia, Spain, (2001), 21-26.
  • [12] G. Morari and N.L. Ricker: Model Predictive Control Toolbox. User’s Guide ver. 1, The Mathworks Inc., 1998.
  • [13] T. Takagi and M. Sugeno: Fuzzy identification of systems and its application to modeling and control. IEEE Trans. on Systems, Man and Cybernetics, 15 (1985), 116-132.
  • [14] K. Tanaka, T. Ikeda and H.O. Wang: Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI–based designs. IEEE Trans. on Fuzzy Systems, 6 (1998), 250-265.
  • [15] K. Tanaka and M. Sugeno: Stability analysis and design of fuzzy control systems. Fuzzy Sets and Systems, 45 (1992), 135-156.
  • [16] H.O. Wang, K. Tanaka and M.F. Griffin: An approach to fuzzy control of nonlinear systems: stability and design issues. IEEE Trans. on Fuzzy Systems, 4 (1996), 14-23.
  • [17] J. Zhao, V. Wertz and R. Gorez: Design a stabilizing fuzzy and/or non-fuzzy state-feedback controller using LMI method. Proc. 3rd European Control Conference, Italy, (1995), 1201-1206, .
  • [18] J. Zhao, V. Wertz and R. Gorez: Dynamic fuzzy state-feedback controller and its limitations. Proc. 13th IFAC World Congress, (1996), 121-126.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0002-0058
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