Robust fault detection based on adaptive threshold generation using interval LPV observers

International Journal of Adaptive Control and Signal Processing

Volumn 26, Issue 3, 2012, Pages 258-283

  Montes De Oca, Saúl ^a   Puig, Vicenç ^a   Blesa, Joaquim ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

fault detection; interval LPV observer; linear matrix inequalities; linear parameter varying; minimum detectable fault; zonotopes

Indexed keywords

ADAPTIVE THRESHOLDS; DESIGN PROCEDURE; INTERVAL LPV OBSERVER; LINEAR PARAMETER VARYING; MINIMUM DETECTABLE FAULT; PARAMETER UNCERTAINTY; POLE PLACEMENT; ROBUST FAULT DETECTION; TWO-DEGREE OF FREEDOM; UNCERTAINTY BOUNDS; ZONOTOPES;

ELECTRIC FAULT LOCATION; FAULT DETECTION; LINEAR MATRIX INEQUALITIES;

OBSERVABILITY;

EID: 84858702644     PISSN: 08906327     EISSN: 10991115     Source Type: Journal    
DOI: 10.1002/acs.1263     Document Type: Conference Paper

References (47)

1. Chen J, Patton RJ, Robust Model-based Fault Diagnosis for Dynamic Systems. Kluwer Academic Publishers: Dordrecht, 1999.
2. Gertler J, Fault Detection and Diagnosis in Engineering Systems. Marcel Dekker: New York, 1998.
3. Patton RJ, Frank PM, Clark RN, Issues of Fault Diagnosis for Dynamic Systems. Springer: Berlin, Heidelberg, 2000.
4. Bokor J, Fault detection and isolation in nonlinear systems. The Seventh IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes (Plenary Session) 2009, Barcelona, Spain, 2009.
5. ∞ control of linear parameter-varying systems: a design example. Automatica 1995; 31 (9): 1251-1261.
6. Shamma JS, Cloutier JR, Gain scheduled missile autopilot design using linear parameter varying transformations. AIAA Journal of Guidance, Control, and Dynamics 1993; 16 (2): 256-263.
7. Andrés M, Balas GJ, Development of linear-parameter-varying models for aircraft. Journal of Guidance, Control and Dynamics 2004; 27 (2): 218-228.
8. Chen J, Patton RJ, Zhang HY, Design of unknown input observers and robust fault-detection filters. International Journal of Control 1996; 63 (1): 85-105. (Pubitemid 126519369)
9. Patton RJ, Liu GP, Robust control design via eigenstructure assignment, genetic algorithms and gradient-based optimization. IEE Proceedings Control Theory and Application 1994; 141 (3): 202-208.
10. Bokor J, Balas G, Detection filter design for LPV systems: a geometric approach. Automatica 2004; 40: 511-518.
11. Rodrigues M, Theilliol D, Sauter D, Design of an active fault tolerant control and polytopic unknown input observer for systems described by a multi-model representation. The 44th IEEE Conference on Decision and Control and European Control Conference ECC, Sevilla, Spain, 2005.
12. Grenaille S, Henry D, Zolghadri A, A method for designing fault diagnosis filters for LPV polytopic systems. Journal of Control Science and Engineering 2008; 2008: 1-11.
13. Armeni S, Casavola A, Mosca E, Robust fault detection and isolation for LPV systems under a sensitivity constraint. International Journal of Adaptive Control and Signal Processing 2009; 23 (1): 55-72.
14. Horak DT, Failure detection in dynamic systems with modelling errors. Journal of Guidance, Control, and Dynamics 1988; 11 (6): 508-516.
15. Emami-Naeini A, Akhter MM, Rock SM, Effect of model uncertainty of failure detection: the threshold selector. IEEE Transactions on Automatic Control 1988; 33 (12): 1106-1115.
16. Fagarasan I, Ploix S, Gentil S, Causal fault detection and isolation based on a set-membership approach. Automatica 2004; 2099-2110.
17. Puig V, Quevedo J, Escobet T, Nejjari F, de las Heras S, Passive robust fault detection of dynamic processes using interval models. IEEE Transactions on Control Systems Technology 2008; 16: 1083-1089.
18. Sainz M, Armengol J, Vehí J, Fault detection and isolation of the three-tank system using the modal interval analysis. Journal of Process Control 2002; 12 (2): 325-338. (Pubitemid 33112516)
19. Ploix S, Adrot O, Parity relations for linear uncertain dynamic systems. Automatica 2006; 42 (9): 1553-1562. (Pubitemid 44080736)
20. Alamo T, Bravo JM, Camacho EF, Guaranteed state estimation by zonotopes. Automatica 2005; 41 (6): 1035-1043. (Pubitemid 40556813)
21. Puig V, Stancu A, Escobet T, Nejjari F, Quevedo J, Patton RJ, Passive robust fault detection using interval observers: application to the DAMADICS benchmark problem. Control Engineering Practice 2006; 14 (6): 621-633.
22. Gouzé JL, Rapaport A, Hadj-Sadok MZ, Interval observers for uncertain biological systems. Journal of Ecological Modelling 2000; 133: 45-56.
23. Johansson KH, The Quadruple-tank process: a multivariable laboratory process with an adjustable zero. IEEE Transactions on Control Systems Technology 2000; 8: 456-465.
24. Feedback Instruments Ltd, Crowborough, U.K. Twin Rotor MIMO System Advanced Teaching Manual 1 (33-007-4M5), 1998.
25. Rahideh A, Shaheed MH, Dynamic modelling of a twin rotor MIMO system using grey box approach. Proceedings of the Fifth International Symposium on Mechatronics and its Applications (ISMA 2008), Amman, Jordan, 2008.
26. Murray-Smith R, Johansen TA, Multiple Model Approaches to Modelling and Control. Taylor & Francis: London, 1997.
27. Bamieh B, Giarré L, Identification of linear parameter varying models. International Journal Robust Nonlinear Control 2002; 2 (12): 841-853.
28. Blesa J, Puig V, Bolea Y, Fault detection using interval LPV models in an open-flow canal. Control Engineering and Practice 2010; 18 (5): 460-470.
29. Meseguer J, Puig V, Escobet T, Observer gain effect in linear interval observer-based fault detection. The Sixth IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes (SAFEPROCESS), vol. 6, 2006.
30. Heemels WPMH, Daafouz J, Millerioux G, Design of observer-based controllers for LPV systems with unknown parameters. The 48th IEEE Conference on Decision and Control (CDC) and the 28th Chinese Control Conference, Shanghai, China, 2009; 1836-1841.
31. Chilali M, Gahinet P, Apkarian P, Robust pole placement in LMI regions. IEEE Transactions on Automatic Control 1999; 44 (12): 2257-2270. (Pubitemid 30541651)
32. Puig V, Quevedo J, Escobet T, Robust fault detection approaches using interval models. IFAC World Congress (b'02), Barcelona, Spain, 2002.
33. Maksarov D, Norton JP, State bounding with ellipsoidal set description of the uncertainty. International Journal of Control 1996; 65 (5): 847-866. (Pubitemid 126645047)
34. Landau ID, Zito G, Digital Control Systems: Design, Identification and Implementation. Springer: Berlin, 2006.
35. Moore RE, Interval Analysis. Prentice-Hall: Englewood Cliffs, NJ, 1966.
36. Combastel C, A state bounding observer for uncertain non-linear continuous-time systems based on Zonotopes. The 44th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC'05, Seville, Spain, 2005.
37. Kuhn W, Rigorously computed orbits of dynamical systems without the wrapping effect. Computing 1998; 61 (1): 47-67. (Pubitemid 128508169)
38. Combastel C, A state bounding observer based on Zonotopes. European Control Conference, Cambridge, U.K., 2003.
39. Peng Y, Youssouf A, Arte P, Kinnaert M, A complete procedure for residual generation and evaluation with application to a heat exchanger. IEEE Transactions on Control Systems Technology 1997; 5: 542-555. (Pubitemid 127770539)
40. Balas GJ, Linear, parameter-varying control and its application to a turbofan engine. International Journal of Robust and Nonlinear Control 2002; 12 (9): 763-796.
41. Shamma JS, Linearization and gain-scheduling. In The Control Handbook, Levine WS, (ed.). CRC Press: Boca Raton, 1996; 388-396.
42. Kwiatkowski A, Werner H, PCA-based parameter set mappings for LPV models with fewer parameters and less overbounding. IEEE Transactions on Control Systems Technology 2008; 6 (4): 781-788.
43. Kumar A, Anderson MR, A comparison of LPV modeling techniques for aircraft control. AIAA Guidance, Navigation, and Control Conference and Exhibit, Denver. AIAA-2000-4458, 2000.
44. Biannic JM, Commande Robuste des Systèmes à Paramètres Variables. Application en Aéronautique. Ph.D. Thesis, Centre d'Études et de Recherche de Toulouse, Department DERA, Toulouse, France, 1996.
45. Barber CB, Dobkin DP, Huhdanpaa HT, The Quickhull algorithm for convex hulls. ACM Transactions on Mathematical Software 1996; 22 (4): 469-483. (Pubitemid 126417394)
46. Kwiatkowski A, Boll MT, Werner H, Automated generation and assessment of affine LPV models. Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, CA, U.S.A., 2006; 6690-6695. (Pubitemid 351284149)
47. Montes de Oca S, Puig V, Fault diagnosis of nonlinear systems using LPV interval observers. The 20th International Workshop on Principle of Diagnosis (DX-09), 2009.