Robust multisensor fault tolerant model-following MPC design for constrained systems

Alain Yetendje; Maria M. Seron; José A. De Doná

International Journal of Applied Mathematics and Computer Science (2012)

  • Volume: 22, Issue: 1, page 211-223
  • ISSN: 1641-876X

Abstract

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In this paper, a robust fault-tolerant control strategy for constrained multisensor linear systems, subject to sensor faults and in the presence of bounded state and output disturbances, is proposed. The scheme verifies that, for each sensors-estimator combination, suitable residual variables lie inside pre-computed sets and selects a more appropriate combination based on a chosen criterion. An active fault tolerant output feedback controller yields an MPC-based control law and, by means of the notion of a "tube" of trajectories, we ensure robust closed-loop exponential stability and good performance in the fault-free case and under the occurrence of abrupt sensor faults.

How to cite

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Alain Yetendje, Maria M. Seron, and José A. De Doná. "Robust multisensor fault tolerant model-following MPC design for constrained systems." International Journal of Applied Mathematics and Computer Science 22.1 (2012): 211-223. <http://eudml.org/doc/208096>.

@article{AlainYetendje2012,
abstract = {In this paper, a robust fault-tolerant control strategy for constrained multisensor linear systems, subject to sensor faults and in the presence of bounded state and output disturbances, is proposed. The scheme verifies that, for each sensors-estimator combination, suitable residual variables lie inside pre-computed sets and selects a more appropriate combination based on a chosen criterion. An active fault tolerant output feedback controller yields an MPC-based control law and, by means of the notion of a "tube" of trajectories, we ensure robust closed-loop exponential stability and good performance in the fault-free case and under the occurrence of abrupt sensor faults.},
author = {Alain Yetendje, Maria M. Seron, José A. De Doná},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {fault tolerant control; constraints; robustness; invariant sets},
language = {eng},
number = {1},
pages = {211-223},
title = {Robust multisensor fault tolerant model-following MPC design for constrained systems},
url = {http://eudml.org/doc/208096},
volume = {22},
year = {2012},
}

TY - JOUR
AU - Alain Yetendje
AU - Maria M. Seron
AU - José A. De Doná
TI - Robust multisensor fault tolerant model-following MPC design for constrained systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2012
VL - 22
IS - 1
SP - 211
EP - 223
AB - In this paper, a robust fault-tolerant control strategy for constrained multisensor linear systems, subject to sensor faults and in the presence of bounded state and output disturbances, is proposed. The scheme verifies that, for each sensors-estimator combination, suitable residual variables lie inside pre-computed sets and selects a more appropriate combination based on a chosen criterion. An active fault tolerant output feedback controller yields an MPC-based control law and, by means of the notion of a "tube" of trajectories, we ensure robust closed-loop exponential stability and good performance in the fault-free case and under the occurrence of abrupt sensor faults.
LA - eng
KW - fault tolerant control; constraints; robustness; invariant sets
UR - http://eudml.org/doc/208096
ER -

References

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  1. De Doná, J., Seron, M. and Yetendje, A. (2009). Multisensor fusion fault-tolerant control with diagnosis via a set separation principle, Proceedings of the 48th IEEE Conference on Decision and Control, Shanghai, China, pp. 7825-7830. 
  2. Goodwin, G., Seron, M. and De Doná, J. (2005). Constrained Control and Estimation-An Optimisation Approach, Springer-Verlag, London. Zbl1078.93003
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  7. Maciejowski, J. (2002). Predictive Control with Constraints, Prentice-Hall, Pearson Education Limited, Harlow. Zbl0978.93002
  8. Martínez, J.J. and de Wit, C.C. (2004). Model reference control approach for safe longitudinal control, Proceedings of the 2004 American Control Conference, Boston, MA, USA, Vol. 3, pp. 2757-2762. 
  9. Mayne, D.Q., Rakovic, S.V., Findeisen, R. and Allgöwer, F. (2006). Robust output feedback model predictive control of constrained linear systems, Automatica 42(7): 1217-1222. Zbl1116.93032
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  11. Mhaskar, P. (2006). Robust model predictive control design for fault-tolerant control of process systems, Industrial & Engineering Chemistry Research 45(25): 8565-8574. 
  12. Mhaskar, P., Gani, A. and Christofides, P. (2006). Fault-tolerant control of nonlinear processes: Performance-based reconfiguration and robustness, International Journal of Robust Nonlinear Control 16(3): 91-111. Zbl1085.93508
  13. Ocampo-Martinez, C. and Puig, V. (2008). Fault-tolerant control model predictive control within the hybrid systems framework: Application to sewer networks, International Journal of Adaptive Control and Signal Processing 23(8): 757-787. Zbl1190.93026
  14. Patwardhan, S., Manuja, S., Narsimhan, S. and Shah, S. (2006). From data to diagnosis and control using generalized orthonormal basis filters, Part II: Model predictive and fault tolerant control, Journal of Process and Control 16(2): 157-175. 
  15. Pranatyasto, T.N. and Qin, S. (2001). Sensor validation and process fault diagnosis for FCC units under MPC feedback, Control Engineering Practice 9(8): 877-888. 
  16. Rawlings, J.B. and Mayne, D.Q. (2009). Model Predictive Control: Theory and Design, Nob Hill Publishing, Madison, WI. 
  17. Seron, M., Zhuo, X., De Doná, J. and Martínez, J. (2008). Multisensor switching control strategy with fault tolerance guarantees, Automatica 44(1): 88-97. Zbl1138.93352
  18. Sheng-Qi, S., Dong, L., Lin, L. and Shu-Sheng, G. (2008). Faulttolerant control for constrained linear systems based on MPC and FDI, International Journal of Information and Systems Sciences 4(4): 512-523. Zbl1157.93524
  19. Sun, S. and Deng, Z. (2008). Distributed optimal fusion steadystate Kalman filter for systems with coloured measurement noises, International Journal of Systems Science 36(3): 113-118. Zbl1061.93093
  20. Yetendje, A., De Doná, J. and Seron, M. (2011). Multisensor fusion fault-tolerant control, Automatica 47(7): 1461-1466. Zbl1220.93071
  21. Yetendje, A., Seron, M. and De Doná, J. (2010). Robust MPC design for fault tolerance of constrained multisensor linear systems, Conference on Control and Fault-Tolerant Systems (SysTol' 10), Nice, France, pp. 752-758. 
  22. Yetendje, A., Seron, M., De Doná, J. and Martínez, J.J. (2010). Sensor fault-tolerant control of a magnetic levitation system, International Journal of Robust and Nonlinear Control 20(18): 2108-2121. Zbl1207.93052

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