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An interval observer design for uncertain nonlinear systems based on the T-S fuzzy model

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A new approach to build an interval observer for nonlinear un certain systems is presented in this paper. Nonlinear systems modeled in the Takagi-Suge no (T-S) form are studied. A T-S proportional observer is first issued by pole-placement and LMI tools. Secondly, time-varying change of coordinates for each dynamic state estimation error is used to design an interval observer. The system state bounds are then directly deduced.
Rocznik
Strony
397--407
Opis fizyczny
Bibliogr. 24 poz., wykr., wzory
Twórcy
autor
  • Department of Electronic, Badji Mokhtar University, Po. Box 12, 23000, Annaba, Algeria
autor
  • Department of Electronic, Badji Mokhtar University, Po. Box 12, 23000, Annaba, Algeria
autor
  • Department of Electronic, Badji Mokhtar University, Po. Box 12, 23000, Annaba, Algeria
Bibliografia
  • [1] A. Akhenak, M. Chadli, J. Ragot and D. Maquin: Design of robust fuzzy observer for uncertain Takagi-Sugeno models. IEEE Int. Conf. on Fuzzy Systems, Budapest, Hungary, (2004).
  • [2] A. Akhenak, M. Chadli, J. Ragot and D. Maquin: State estimation via multiple observer with unknown input: Application to the three tank system. 5th IFAC Symp. on Fault Detection Supervision and Safety for Technical Processes, Washington, USA, (2003).
  • [3] O. Bernard and J. L. Gouze: Closed loop observers bundle for uncertain biotechnological models. J. of Process Control, 14, (2004), 765-774.
  • [4] S. Boyd, L. Ghaoui, E. Feron and V. Balakrishan: Linear Matrix Inequalities in System and Control Theory. SIAM, Philadelphia, 1994.
  • [5] S. Chebotarev, D. Efimov, T. Raissi and A. Zolghadri: On interval observer design for a class of continuous-time LPV systems. IFAC Nolcos, Toulouse, France, (2013).
  • [6] D. Efimov, L. Fridman, T. Raissi, A. Zolghadri and R. Seydoud: Interval estimation for LPV systems applying high order sliding mode techniques. Automatica, 48, (2012), 2365-2371.
  • [7] D. Efimov, W. Perruquetti, T. Raissi and A. Zolghadri: On interval observer design for time-invariant discrete-time systems. European Control Conf., Zurich, Switzerland, (2013).
  • [8] D. Efimov, T. Raissi, A. Chebotarev and A. Zolghadri: Interval state observer for nonlinear time varying systems. Automatica, 49, (2013), 200-205.
  • [9] J. L. Gouze, A. Rapaport and Z. Hadj-Sadok: Interval observers for uncertain biological systems. Ecological Modelling, 133, (2000), 45-56.
  • [10] D. G. Lunberger: Observers of multivariable systems. IEEE Trans. on Automatic Control, 11, (1966), 190-197.
  • [11] X. J. Ma, Z. Q. Sun and Y. Y. He: Analysis and design of fuzzy controller and fuzzy observer. IEEE Trans. on Fuzzy Systems, 6, (1998), 41-51.
  • [12] F. Mazenc and O. Bernard: Interval observers for linear time-invarariant systems with disturbances. Automatica, 47, (2011), 140-147,
  • [13] F. Mazenc and O. Bernard: Asymptotically stable interval observers for planar systems with complex poles. IEEE Trans. on Automatic Control, 55, (2010), 523-527.
  • [14] M. Moisan and O. Bernard: Robust interval observers for uncertain chaotic systems. 45th IEEE Conf. on Decision and Control, San Diego, USA, (2006).
  • [15] M. Moisan, O. Bernard and J. L. Gouze: Near optimal interval observers bundle for uncertain bioreactors. Automatica, 45, (2009), 291-295.
  • [16] M. Moisan and O. Bernard: Robust interval observers for global Lipschitz uncertain chaotic systems. Systems and Control Letters, 59, (2010), 687-694.
  • [17] L. Perko: Differential Equations and Dynamical Systems. 3rd Edition. Springer, 2000.
  • [18] T. Raissi, D. Efimov and A. Zolghadri: Interval state estimation for a class of nonlinear systems. IEEE Trans. on Automatic Control, 57, (2012), 260-265.
  • [19] T. Raissi, G. Videau and A. Zolghadri: Interval observer design for consistency checks of nonlinear continuous-time systems. Automatica, 46, (2010), 518-527.
  • [20] M. A. Rami, J. Jordan and M. Schonlein: Interval observers for linear systems with time-varying delays. Int. Symp.on Mathematical Theory of Networks and Systems, Budapest, Hungary, (2010).
  • [21] A. Rapaport and D. Dochain: Interval observers for biochemical processes with uncertain kinetics and inputs. Mathematical Biosciences, 193, (2005), 235-253.
  • [22] T. Takagi and M. Sugeno: Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. on Systems Man and Cybernetic, 15, (1985), 116-132.
  • [23] H. O. Wang and K. Tanaka: Fuzzy control systems design and analysis. John Wiley & Sons., 2001.
  • [24] G. Zheng, D. Efimov and W. Perruquetti: Design of interval observer for a class of uncertain unobservable nonlinear systems. Automatica, 63, (2016), 167-174.
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ebbaf6ba-6201-497c-9bda-c9876f62379c
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