Reconfigurable control of PWA systems with actuator and sensor faults: stability

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2008, Pages 1060-1065

  Richter, J H ^a   Heemels, W P M H ^b   Van De Wouw, N ^b   Lunze, J ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

^b EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; CLOSED LOOP SYSTEMS; LINEAR MATRIX INEQUALITIES;

ACTUATOR AND SENSOR FAULTS; COMPUTATIONAL ALGORITHM; INPUT-TO-STATE; NEW APPROACHES; PIECEWISE AFFINE SYSTEMS; RECONFIGURABLE CONTROL; VIRTUAL ACTUATORS; VIRTUAL SENSOR;

SYSTEM STABILITY;

EID: 63049130719     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2008.4738873     Document Type: Conference Paper

References (28)

1. M. Blanke, M. Kinnaert, J. Lunze, and J. Staroswiecki, Diagnosis and Fault-Tolerant Control, 2nd ed. Heidelberg: Springer-Verlag, 2006.
2. J. Stoustrup and V. D. Blondel, "Fault tolerant control: A simultaneous stabilization result," IEEE Trans. Autom. Control, vol. 49, no. 2, pp. 305-310, February 2004.
3. M. Benosman and K.-Y. Lum, "Passive actuators' fault tolerant control for affine nonlinear systems," in Proc. 17th IFAC World Congress. Seoul, Korea: IFAC, July 2008, pp. 14229-14234.
4. J. Stoustrup and H. Niemann, "Active fault diagnosis by temporary destabilization," in Proc. 6th IFAC Sympos. Fault Detection, Superv. and Safety for Techn. Processes, Beijing, China, 2006, pp. 607-613.
5. H. Yang, B. Jiang, V. Cocquempot, and M. Staroswiecki, "Adaptive fault tolerant strategy for hybrid systems with faults independently affecting on outputs," in Proc 6th IFAC Sympos. Fault Detection, Superv. and Safety for Techn. Processes, Beijing, China, 2006, pp. 1021-1026.
6. M. Rodrigues, D. Theilliol, and D. Sauter, "Fault tolerant control design for switched systems," in Proc. 2nd IFAC Conf. on Analysis and Design of Hybrid Systems, Alghero, Italy, June 2006, pp. 223-228.
7. K. Tsuda, D. Mignone, G. Ferrari-Trecate, and M. Morari, "Reconfiguration strategies for hybrid systems," in Proc. 2001 American Control Conference, vol. 2, Arlington, VA, USA, 2001, pp. 868-873.
8. J. Lunze and T. Steffen, "Control reconfiguration after actuator failures using disturbance decoupling methods," IEEE Trans. Autom. Control, vol. 51, no. 10, pp. 1590-1601, October 2006.
9. J. H. Richter, T. Schlage, and J. Lunze, "Control reconfiguration of a thermofluid process by means of a virtual actuator," IET Control Theory Appl., vol. 1, no. 6, pp. 1606-1620, November 2007.
10. J. H. Richter, J. Lunze, and T. Schlage, "Control reconfiguration after actuator failures by Markov parameter matching," Int. J. Control, vol. 81, no. 9, pp. 1382-1398, Sep. 2008.
11. J. Quevedo, V. Puig, and M. Serra, "Polynomial approach to design a virtual actuator for fault-tolerant control: application to a PEM fuel cell," in Advanced Control and Diagnosis, ser. IAR ICD Working Group, 2007, pp. 1-6.
12. J. H. Richter and J. Lunze, "Reconfigurable control of Hammerstein systems after actuator faults," in Proc. 17th IFAC World Congress. Seoul, Korea: IFAC, July 2008, pp. 3210-3215.
13. V. D. Blondel and J. N. Tsitsiklis, "A survey of computational complexity results in systems and control," Automatica, vol. 36, no. 9, pp. 1249-1274, Sep. 2000.
14. E. D. Sontag, "Nonlinear regulation: The piecewise linear approach," IEEE Trans. Autom. Control, vol. 26, no. 2, pp. 346-358, 1981.
15. V. Carmona, E. Freire, E. Ponce, and F. Torres, "On simplifying and classifying piecewise-linear systems," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 49, no. 5, pp. 609-620, 2002.
16. A. Ben-Israel and T. N. E. Greville, Generalized Inverses, 2nd ed., ser. CMS Books in Mathematics. Canadian Mathematical Society: Springer-Verlag, 2003.
17. G. M. Ziegler, Lectures on Polytopes, revised first ed. New York: Springer-Verlag, 1998.
18. D. Liberzon, Switching in Systems and Control, ser. Systems & Control: Foundations and Applications. Boston: Birkhäuser, 2003.
19. E. D. Sontag, "Smooth stabilisation implies coprime factorization," IEEE Trans. Autom. Control, vol. 34, no. 4, pp. 435-443, April 1989.
20. -, "The ISS philosophy as a unifying framework for stability-like behavior," in Nonlinear control in the year 2000, ser. LNCIS. London: Springer-Verlag, 2001, vol. 259, pp. 443-467.
21. Z.-P. Jiang, A. R. Teel, and L. Praly, "Small-gain theorem for ISS systems and applications," Mathematics of Control, Signals, and Systems, vol. 7, pp. 95-120, 1994.
22. A. Pavlov, N. van de Wouw, and H. Nijmeijer, Uniform output regulation of nonlinear systems, ser. Systems & Control: Foundations and Applications. Boston: Birkhäuser, 2006.
23. A. Pavlov, A. Pogromsky, N. van de Wouw, and H. Nijmeijer, "On convergence properties of piecewise affine systems," Int. J. Control, vol. 80, no. 8, pp. 1233-1247, August 2007.
24. D. Angeli, "A Lyapunov approach to incremental stability properties," IEEE Trans. Autom. Control, vol. 47, no. 3, pp. 410-421, March 2002.
25. E. D. Sontag, "On the input-to-state stability property," European J. Control, vol. 1, pp. 24-36, 1995.
26. J. H. Richter, S. Weiland, W. Heemels, and J. Lunze, " Decouplingbased reconfigurable control of linear systems after actuator faults," 2008, in preparation.
27. T. Steffen, Control Reconfiguration of Dynamical Systems: Linear Approaches and Structural Tests, ser. LNCIS. Heidelberg: Springer-Verlag, 2005, vol. 320.
28. A. Pavlov, N. van der Wouw, and H. Nijmeijer, "Convergent piecewise affine systems: analysis and design. Part I: continuous case," in Proc. 44th IEEE Conf. Decision and Control, and European Control Conf., Seville, Spain, December 12-15 2005, pp. 5391-5396.