Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2007 | 17 | 1 | 27-37

Tytuł artykułu

Fault Tolerant Control design for polytopic LPV systems

Treść / Zawartość

Warianty tytułu

Języki publikacji



This paper deals with a Fault Tolerant Control (FTC) strategy for polytopic Linear Parameter Varying (LPV) systems. The main contribution consists in the design of a Static Output Feedback (SOF) dedicated to such systems in the presence of multiple actuator faults/failures. The controllers are synthesized through Linear Matrix Inequalities (LMIs) in both fault-free and faulty cases in order to preserve the system closed-loop stability. Hence, this paper provides a new sufficient (but not necessary) condition for the solvability of the stabilizing output feedback control problem. An example illustrates the effectiveness and performances of the proposed FTC method.








Opis fizyczny




  • Laboratoire d'Automatique et de Génie des Procédés, LAGEP-UMR-CNRS 5007 Universite Claude Bernard Lyon I CPE, Lyon, Bd du 11 Novembre 1918 F-69622 Villeurbanne Cedex, France
  • Centre de Recherche en Automatique de Nancy, CRAN - CNRS - INPL - UHP - UMR 7039, BP 239, F–54506 Vandœuvre-lès-Nancy Cedex, France
  • Centre de Recherche en Automatique de Nancy, CRAN - CNRS - INPL - UHP - UMR 7039, BP 239, F–54506 Vandœuvre-lès-Nancy Cedex, France
  • Centre de Recherche en Automatique de Nancy, CRAN - CNRS - INPL - UHP - UMR 7039, BP 239, F–54506 Vandœuvre-lès-Nancy Cedex, France


  • Angelis G.Z. (2001): System Analysis, Modelling and Control with Polytopic Linear Models. - Ph.D. thesis, University of Eindhoven, the Netherlands.
  • Blanke M., Kinnaert M., Lunze J. and Staroswiecki M. (2003): Diagnosis and Fault-Tolerant Control.- Berlin: Springer.
  • Bouazizi M.H., Kochbati A. and Ksouri M. (2001): H_∞ control of LPV systems with dynamic output feedback.- Proc. 9th Mederranean Conf. Control and Automation (MED'01), Dubrovnik, Croatia, (CD-ROOM).
  • Casavola A., Famularo D. and Franzc G. (2003): Predictive control of constrained nonlinear systems via LPV linear embeddings. - Int. J. Robust Nonlin. Contr., Vol.13, Nos.3-4, pp.281-294.
  • Chadli M., Maquin D., and Ragot J. (2002): An LMI formulation for output feedback stabilization in multiple model approach. - Proc. 41-st IEEE Conf. Decision and Control, Las Vegas, USA, pp.311-316.
  • Chilali M. and Gahinet P. (1996): H_∞ design with pole placement constraints: An LMI approach. - IEEE Trans. Automat. Contr., Vol.41, No.3, pp.358-367.
  • Eterno J.S., Looze D.P., Weiss J.L. and Willsky A.S. (1985): Design issues for fault-tolerant restructurable aircraft control. - Proc. 24th IEEE Conf. Decision and Control, Fort Lauderdale,USA, pp.900-905.
  • Geromel J.C., DeSouza C.C. and Skelton R.E. (1998): Static output feedback controllers: Stability and convexy. - IEEE Trans. Automat. Contr., Vol. 43, No.1, pp.120-125.
  • Glover S.F. (2003): Modeling and Stability Analysis of Power Electronics Based Systems. - Ph.D. thesis, Purdue University, USA.
  • Jabbari F. (1997): Output feedback controllers for systems with structured uncertainty. - IEEE Trans. Automat. Contr., Vol.42, No.5, pp. 715-719.
  • Kanev S. (2004): Robust Fault-Tolerant Control. - Ph.D. thesis, University of Twente, the Netherlands.
  • Maki M., Jiang J. and Hagino K. (2001): A stability guaranteed active fault-tolerant control system against actuator failures. - Proc. 40th IEEE Conf. Decision and Control, Orlando, FL, Vol.2, pp.1893-1898.
  • Noura H., Sauter D., Hamelin F. and Theilliol D. (2000): Fault-tolerant control in dynamic systems: Application to a winding machine. - IEEE Contr. Syst. Mag., Vol.20, No.1, pp.33-49.
  • Patton R.J. (1997): Fault-tolerant control: The 1997 situation.- Proc. IFAC Symp. Safeprocess, Kingston Upon Hull, U.K, Vol.2, pp.1033-1055.
  • Reberga L., Henrion D., Bernussou J. and Vary F. (2005): LPV modeling of a turbofan engine. - Proc. 16th IFAC World Congress, Prague, Czech Republic, (CD-ROOM).
  • Rodrigues M. (2005): Diagnostic et commande active tolerante aux defauts appliques aux systemes decrits par des multi-modcles lineaires.- Ph.D. thesis, Centre de Recherche en Automatique de Nancy, UHP, Nancy, France.
  • Rodrigues M., Theilliol D., Adam-Medina M. and Sauter D. (2006): A fault detection and isolation scheme for industrial systems based on multiple operating models.- Contr. Eng. Pract.
  • Rodrigues M., Theilliol D. and Sauter D. (2005a): Design of an active fault tolerant control and polytopic unknown input observer for systems described by a multi-model representation. - Proc. 44th IEEE Conf. Decision and Control and European Control Conference ECC, Seville, Spain, (CD-ROM).
  • Rodrigues M., Theilliol D. and Sauter D. (2005b): Fault tolerant control design of nonlinear systems using LMI gain synthesis. - Proc. 16th IFAC World Congress, Prague, Czech Republic, (CD-ROM).
  • Rosinova D. and Vesely V. (2004): Robust static output feedback for discrete time systems LMI approach. - Periodica Polytechnica, Vol.48, No.3-4, pp.151-163.
  • Shin J-Y. (2003): Parameter transient behavior analysis on fault tolerant control system. - Tech. Rep. NASA-CR-2003-212682-NIA, Report No.2003-05, National Institute of Aerospace, Hampton, VA, USA.
  • Da Silva S., Lopes Junior V. and Assuncao E. (2004): Robust control to parametric uncertainties in smart structures using linear matrix inequalities. - J. Braz. Soc. Mech. Sci. Eng.,Vol.26, No.4, pp.430-437.
  • Theilliol D., Noura H. and Ponsart J.C. (2002): Fault diagnosis and accommodation of three-tank system bsaed on analytical redundancy. - ISA Trans., Vol.41, No.3, pp.365-382.
  • Theilliol D., Sauter D. and Ponsart J.C. (2003): A multiple model Based approach for Fault Tolerant Control in nonlinear systems. - Proc. IFAC Symp. Safeprocess, Washington D.C., (CD-ROM).
  • Veillette R. (2002): Design of reliable control systems. - IEEE Trans. Automat. Contr., Vol.37, pp.290-304.
  • Wan Z. and Kothare M.V. (2004): Efficient scheduled stabilizing output feedback model predictive control for constrained nonlinear systems. - IEEE Trans. Automat.Contr., Vol.49, No.7, pp.1172-1177.
  • Wu N.E., Zhang Y. and Zhou K. (2000): Detection, estimation and accommodation of loss of control effectiveness. - Int. J. Adapt. Contr. and Signal Process., Vol.14, No.7, pp.775-795.
  • Zhang Y. and Jiang J. (2001): Integrated active fault-tolerant control using IMM approach. - IEEE Trans. Aerospace Electron. Syst., Vol.37, No.4, pp.1221-1235.
  • Zhang Y. and Jiang J. (2003): Bibliographical review on reconfigurable fault-tolerant control systems. - Proc. IFAC Symp. Safeprocess, Washington, D.C., (CD-ROM).
  • Zhang Y., Jiang J., Yang Z. and Hussain Z. (2005): Managing performance degradation in fault tolerant control systems. - Proc. 16th IFAC World Congress, Prague, Czech Republic, (CD-ROM)

Typ dokumentu



Identyfikator YADDA

JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.