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2007 | 17 | 1 | 27-37

Tytuł artykułu

Fault Tolerant Control design for polytopic LPV systems

Treść / Zawartość

Warianty tytułu

Języki publikacji

EN

Abstrakty

EN
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.

Rocznik

Tom

17

Numer

1

Strony

27-37

Opis fizyczny

Daty

wydano
2007
otrzymano
2006-02-24
poprawiono
2006-07-27
(nieznana)
2006-12-15

Twórcy

  • 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

Bibliografia

  • 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)

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Bibliografia

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