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State estimate based control design using the unified algebraic approach

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The LMI based method for the control with the state estimate, subject to the input variable constraints in the state feedback control of the linear MIMO systems, is presented in the paper. For this problem are obtained the state feedback as well as the estimator gain matrices that capture the required stability by solving the linear matrix inequalities formulated in the sense of the unified algebraic approach. The method is particularly effective when the input variable constraints and the system output are of interest.
Rocznik
Strony
5--18
Opis fizyczny
Bibliogr. 19 poz., wzory
Twórcy
autor
autor
  • Department of Cybernetics and Artificial Intelligence, Technical University of Kosice, Slovak Republic, anna.filasova@tuke.sk
Bibliografia
  • [1] G. BESANCON (ED.): Nonlinear observers and applications. Springer, Berlin,2007.
  • [2] M. BLANKE, M. KINNAERT, J. LUNZE and M. STAROSWIECKI: Diagnosis and fault-tolerant control. Springer, Berlin, 2003.
  • [3] D. BOYD, L. EL GHAOUI, E. PERON and V. BALAKRISHNAN: Linear matrix inequalities in system and control theory. SIAM, Philadelphia, 1994.
  • [4] S. X. DING: Model-based fault diagnosis techniques. Design Schemes, Algorithms, and Tools. Springer, Berlin, 2008.
  • [5] A. FILASOVA and D. KROKAVEC: LMI-supported design of residual generators based on unknown-input estimator scheme. Prep. of the 6th IFAC Symp. on Robust Control Design ROCOND '09., Haifa, Israel, (2009), 313-319.
  • [6] P. GAHINET, A. NEMIROVSKI, A. J. LAUB and M. CHILALI: LMI control toolbox user's guide. The MathWorks, Inc., Natick, 1995.
  • [7] R. E. KALMAN: A new approach to linear filtering and prediction problems. Trans. of the ASME, Series D, Journal of Basic Engineering, 82 (1960), 35-45.
  • [8] D. KROKAVEC and A. FILASOVA: Dynamic systems diagnosis. Elfa, Kogice, 2007, (in Slovak).
  • [9] D. KROKAVEC and A. FILAsovA: Discrete-time systems. Elfa, Kosice, 2008, (in Slovak).
  • [10] H. LENS and J. ADAM Y: Observed based controller design for linear systems with input constraints. Proc. of the 17th World Congress IFAC 2008, Seoul, Korea, (2008), 1243-1248.
  • [11] D. G. LUENBERG: Observing the state of a linear system IEEE Trans. on Military Electronics, MIL-8 (1964), 74-80.
  • [12] M. S. MAHMOUD: Resilient control of uncertain dynamical systems. Springer, Berlin, 2004.
  • [13] Y. NESTEROV and A. NEMIROVSKY: Interior-point polynomial methods in convex programming, SIAM, Philadelphia, 1994.
  • [14] E. G. NOBREGA, M.O. ABDALLA and K.M. GRIGORIADIS: LMI-based filter design for fault detection and isolation. Proc. of the 39th IEEE Conf. on Decision and Control, Sydney, Australia, 5 (2000), 4329-4334.
  • [15] J. O’REILLY: Observers for linear systems. Academic Press, London, 1983.
  • [16] D. PAUCELLE, D. HENRION, Y. LABIT and K. TAITZ: User's guide for SeDuMi interface 1.04. LAAS-CNRS, Toulouse, 2002.
  • [17] D. SIMON: Optimal state estimation: Kalman, and nonlinear approaches. John Wiley & Sons, Inc., Hoboken, 2006.
  • [18] R. E. SKELTON, T. IVASAKI and K. GRIGORIADIS: A unified algebraic approach to linear control design. Taylor & Francis, London, 1998.
  • [19] X. ZHAN: Matrix inequalities. Springer, Berlin, 2002.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0064-0001
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