Abstract
In this paper, a model-based fault diagnosis scheme of a nonlinear hybrid system using an adaptive unscented Kalman filter (AUKF) bank is proposed. The hybrid system is an amalgamation of discrete dynamics and continuous states. Fault diagnosis for simultaneous occurrences of multiple faults such as leakage fault, clogging fault, sensor fault, and actuator fault on a benchmark three-tank system are simulated. The residual signal based output generates some discrete modes that guarantee the uniqueness of the concerning fault. The efficacy of the proposed scheme is compared with that of the adaptive extended Kalman filter (AEKF) bank on the same system to prove its better response over AEKF.










Similar content being viewed by others
References
Yen GG, Ho L (2003) Online multiple-model-based fault diagnosis and accommodation. IEEE Trans Industr Electron 50(2):296–312
Eide P, Maybeck P (1995) Implementation and demonstration of a multiple model adaptive estimation failure detection system for the F-16. Proceedings of 34th IEEE Conference on Decision Control, New Orleans, LA, USA, pp 1873–1878
Eide P, Maybeck P (1996) An MMAE failure detection system for the F-16. IEEE Trans Aerosp Electron Syst 32(3):1125–1136
Singh A, Izadian A, Anwar S (2013) Fault diagnosis of li-ion batteries using multiple-model adaptive estimation. In: Proceedings 39th IEEE IECON, Vienna, Austria, pp. 3524–3529
Singh A, Izadian A, Anwar S (2014) Nonlinear model based fault detection of lithium ion battery using multiple model adaptive estimation. 19th World Congress. International Federation of Automatic Control 47(3):8546–8551
Rupp D, Ducard G, Shafa E et al (2005) Extended multiple model adaptive estimation for the detection of sensor and actuator faults. In: Proceeding of 44th IEEE CDC-ECC, pp 3079–3084
Hajiyev C, Soken HE (2013) Robust adaptive Kalman filter for estimation of UAV dynamics in the presence of sensor /actuator faults. Aerosp Sci Technol 28(1):376–383
Izadian A (2013) Self-tuning fault diagnosis of MEMS. Mechatronics 23(8):1094–1099
Loebis D, Sutton R, Chudley J et al (2004) Adaptive tuning of a Kalman filter via fuzzy logic for an intelligent AUV navigation system. Control Eng Pract 12(12):1531–1539
Gertler J (1988) Survey of model-based failure detection and isolation in complex plants. IEEE Control Syst Mag 8(6):3–11
Chen J, Patton RJ (1999) Robust model-based fault diagnosis for dynamic systems. In: The International Series on Asian Studies in Computer and Information Science, Kluwer Academic Press, Dordrecht, ch 9, pp 251–295
Ding SX (2008) Model-based fault diagnosis techniques: design schemes, algorithms tools. Advances in Industrial Control Springer-Verlag, Berlin, Germany, ch 15, pp 471–489
Wang S, Tian X, Fang H (2019) Event-based state and fault estimation for nonlinear systems with logarithmic quantization and missing measurements. J Franklin Inst 356(7):4076–4096
Chen J, Zhang H (2007) Robust fault detection of faulty actuators via Unknown input observers. Int J Syst Sci 22(10):1829–1839
Zarei J, Shokri E (2014) Robust sensor fault detection based on nonlinear unknown input observer. Measurement 48(2):355–367
Mondal S, Chakraborty G, Bhattacharyya K (2008) Robust unknown input observer for nonlinear systems and its application to fault detection and isolation. J Dyn Sys-T ASME 130(4):044503–044505
Wang D, Lum K (2007) Adaptive unknown input observer approach for aircraft actuator fault detection and isolation. Intl J Adapt Control Signal Process 21(1):31–48
Caccavale F, Pierri F, Villani L (2008) Adaptive observer for fault diagnosis in nonlinear discrete-time systems. J Dyn Sys-T ASME 130(2):021005–021009
Zhang X, Polycarpo M, Parisini T (2010) Fault diagnosis of a class of nonlinear systems with Lipschitz nonlinearities using adaptive estimation. Automatica 46(2):290–299
Zhang X, Tang L, Decastro J (2013) Robust fault diagnosis of aircraft engines: a nonlinear adaptive estimation-based approach. IEEE Trans Control Syst Technol 21(3):861–868
Methnani S, Lafont F, Gauthier J et al (2013) Actuator and sensor fault detection, isolation and identification in nonlinear dynamical systems, with an application to a waste water treatment plant. J Comput Eng Inf Technol 1(4):112–125
Fan J, Zhang Y, Zheng Z (2013) Adaptive observer-based integrated fault diagnosis and fault-tolerant control systems against actuator faults and saturation. J Dyn Sys-T ASME 135(4):041008–041013
Gaeid K, Ping H (2010) Induction motor fault detection and isolation through unknown input observer. Sci Res Essays 5(20):3152–3159
Chen W, Chen WT, Saif M et al (2014) Simultaneous fault isolation and estimation of lithium-ion batteries via synthesized design of Luenberger and learning observers. IEEE Trans Control Syst Technol 22(1):290–298
Efimov D, Raïssi T, Zolghadri A (2013) Set adaptive observers for linear parameter-varying systems: application to fault detection. J Dyn Sys-T ASME 136 (2):021006–021007
Zhanga Y, Wang Z, Ma L et al (2019) Annulus-event-based fault detection, isolation and estimation for multirate time-varying systems: applications to a three-tank system. J Process Control 75:48–58
Mendonca LF, Sousa JMC, Costa JMG Sa da (2008) Fault accommodation of an Experimental three tank system using fuzzy predictive control. In: Proceeding of the IEEE International Conference on Fuzzy Systems, Hong Kong, pp 1619–1625
Heiming B, Lunze J (1999) Definition of the three-tank benchmark problem for controller reconfiguration. In: Proceeding of the European Control Conference, Karlsruhe, Germany
Zhou DH, Wang GZ, Ding SX (2000) Sensor fault tolerant control of nonlinear systems with application to three-tank-systems. In: 4th IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, Budapest, Hungary, pp 810–815
Chatterjee S, Sadhu S, Ghoshal TK (2015) Fault detection and identification of non-linear hybrid system using self-switched sigma point filter bank. IET Control Theory Appl 9(7):1093–1102
Theilliol D, Noura H, Ponsart JC (2002) Fault diagnosis and accommodation of a three tank system based on analytical redundancy. ISA Trans 41(3):365–382
Mirzaee A, Salahshoor K (2012) Fault diagnosis and accommodation of nonlinear systems based on multiple-model adaptive unscented Kalman filter and switched MPC and H-infinity loop-shaping controller. J Process Control 22(3):626–634
Villez K, Srinivasan B, Rengaswamy R et al (2011) Kalman-based strategies for Fault detection and identification (FDI): extensions and critical evaluation for a buffer tank system. Comput Chem Eng 35(5):806–816
Zhou DH, Xiao He, Wang Z et al (2012) Leakage fault diagnosis for an internet-based three-tank system: an experimental study. IEEE Trans Control Syst Technol 20(4):857–870
Mrugalski M, Luzar M, Pazera M et al (2016) Neural network based robust actuator fault diagnosis for a non-linear multitank system. ISA Trans 61:318–328
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
About this article
Cite this article
Sadhukhan, C., Mitra, S.K., Naskar, M.K. et al. Fault diagnosis of a nonlinear hybrid system using adaptive unscented Kalman filter bank. Engineering with Computers 38, 2717–2728 (2022). https://doi.org/10.1007/s00366-020-01235-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00366-020-01235-0