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.
@article{bwmeta1.element.bwnjournal-article-amcv17i1p27bwm,
author = {Rodrigues, Mickael and Theilliol, Didier and Aberkane, Samir and Sauter, Dominique},
title = {Fault Tolerant Control design for polytopic LPV systems},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {17},
year = {2007},
pages = {27-37},
zbl = {1122.93073},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv17i1p27bwm}
}
Rodrigues, Mickael; Theilliol, Didier; Aberkane, Samir; Sauter, Dominique. Fault Tolerant Control design for polytopic LPV systems. International Journal of Applied Mathematics and Computer Science, Tome 17 (2007) pp. 27-37. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv17i1p27bwm/
[000] Angelis G.Z. (2001): System Analysis, Modelling and Control with Polytopic Linear Models. - Ph.D. thesis, University of Eindhoven, the Netherlands.
[001] Blanke M., Kinnaert M., Lunze J. and Staroswiecki M. (2003): Diagnosis and Fault-Tolerant Control.- Berlin: Springer. | Zbl 1023.93001
[002] 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).
[003] 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.
[004] 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.
[005] 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. | Zbl 0857.93048
[006] 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.
[007] 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. | Zbl 0952.93106
[008] Glover S.F. (2003): Modeling and Stability Analysis of Power Electronics Based Systems. - Ph.D. thesis, Purdue University, USA.
[009] Jabbari F. (1997): Output feedback controllers for systems with structured uncertainty. - IEEE Trans. Automat. Contr., Vol.42, No.5, pp. 715-719. | Zbl 0886.93023
[010] Kanev S. (2004): Robust Fault-Tolerant Control. - Ph.D. thesis, University of Twente, the Netherlands.
[011] 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. | Zbl 1057.93018
[012] 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.
[013] Patton R.J. (1997): Fault-tolerant control: The 1997 situation.- Proc. IFAC Symp. Safeprocess, Kingston Upon Hull, U.K, Vol.2, pp.1033-1055.
[014] 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).
[015] 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.
[016] 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.
[017] 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).
[018] 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).
[019] 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.
[020] 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.
[021] 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.
[022] 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.
[023] 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).
[024] Veillette R. (2002): Design of reliable control systems. - IEEE Trans. Automat. Contr., Vol.37, pp.290-304. | Zbl 0745.93025
[025] 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.
[026] 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. | Zbl 1016.93025
[027] 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.
[028] Zhang Y. and Jiang J. (2003): Bibliographical review on reconfigurable fault-tolerant control systems. - Proc. IFAC Symp. Safeprocess, Washington, D.C., (CD-ROM).
[029] 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)