Estimation/decoupling approach for robust Takagi-Sugeno UIO-based fault reconstruction in nonlinear systems affected by a simultaneous time-varying actuator and sensor faults. (English) Zbl 1483.93098
Summary: This paper presents a robust design of Takagi-Sugeno multiple-integral unknown input observer (TSMIUIO) for nonlinear systems affected by a simultaneous time-varying actuator and sensor faults, sensor noise and unknown input by using novel estimation/decoupling approach. In comparison to the available literature, the motivation for this approach is to: (1) attain robust fault reconstruction against the effects of bi-directional interaction accompanying the use of extended state observer (ESO) to simultaneously estimate actuator and sensor faults. (2) Guarantee accurate fault reconstruction despite the time behaviour of the fault. (3) Reduce the order of the TSMIUIO by avoiding the use of ESO for estimating all faults. The \(\mathcal{L}_2\)-norm minimisation has been exploited to ensure robust global stability against system disturbances. The design algorithm has been formulated using linear matrix inequality framework. Finally, the effectiveness of the proposal is illustrated by using a single-link flexible joint robot.
MSC:
| 93B35 | Sensitivity (robustness) |
| 93C42 | Fuzzy control/observation systems |
| 93C10 | Nonlinear systems in control theory |
| 93B53 | Observers |
Keywords:
robust fault estimation; robust observer design; T-S fuzzy model; nonlinear observer; unknown input observerReferences:
| [1] | Alaei, H. K.; Yazdizadeh, A., A new robust H_∞ sliding mode observer-based state estimation and fault reconstruction for nonlinear uncertain boiler system, Soft Computing, 21, 14, 3957-3968 (2016) · Zbl 1387.93150 |
| [2] | Chen, W.; Chen, W.-T.; Saif, M.; Li, M.-F.; Wu, H., Simultaneous fault isolation and estimation of lithium-ion batteries via synthesized design of Luenberger and learning observers, IEEE Transactions on Control Systems Technology, 22, 1, 290-298 (2014) |
| [3] | Chen, J.; Ouyang, Q.; Xu, C.; Su, H., Neural network-based state of charge observer design for lithium-ion batteries, IEEE Transactions on Control Systems Technology, 26, 1, 313-320 (2018) |
| [4] | Chen, J.; Patton, R. J.; Zhang, H.-Y., Design of unknown input observers and robust fault detection filters, International Journal of Control, 63, 1, 85-105 (1996) · Zbl 0844.93020 |
| [5] | Chen, W.; Saif, M., Fuzzy nonlinear unknown input observer design with fault diagnosis applications, Journal of Vibration and Control, 16, 3, 377-401 (2010) · Zbl 1269.93014 |
| [6] | Cheng, Y.; Wang, R.; Xu, M.; Li, Y., Simultaneous state and actuator fault estimation for satellite attitude control systems, Chinese Journal of Aeronautics, 29, 3, 714-721 (2016) |
| [7] | Ding, S. X., Model-based fault diagnosis techniques: Design schemes, algorithms, and tools (2008), Berlin: Springer-Verlag, Berlin |
| [8] | Edwards, C.; Spurgeon, S. K.; Patton, R. J., Sliding mode observers for fault detection and isolation, Automatica, 36, 4, 541-553 (2000) · Zbl 0968.93502 |
| [9] | Edwards, C.; Tan, C. P., Sensor fault tolerant control using sliding mode observers, Control Engineering Practice, 14, 8, 897-908 (2006) |
| [10] | Gao, Z.; Cecati, C.; Ding, S. X., A survey of fault diagnosis and fault-tolerant techniques — Part I: Fault diagnosis with model-based and signal-based approaches, IEEE Transactions on Industrial Electronics, 62, 6, 3757-3767 (2015) |
| [11] | Gao, Z.; Ding, S. X.; Ma, Y., Robust fault estimation approach and its application in vehicle lateral dynamic systems, Optimal Control Applications and Methods, 28, 3, 143-156 (2007) |
| [12] | Gao, Z.; Liu, X.; Chen, M. Z. Q., Unknown input observer-based robust fault estimation for systems corrupted by partially decoupled disturbances, IEEE Transactions on Industrial Electronics, 63, 4, 2537-2547 (2016) |
| [13] | Gao, Z.; Shi, X.; Ding, S. X., Fuzzy state/disturbance observer design for T-S fuzzy systems with application to sensor fault estimation, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics, 38, 3, 875-880 (2008) |
| [14] | Gao, Z.; Wang, H., Descriptor observer approaches for multivariable systems with measurement noises and application in fault detection and diagnosis, Systems & Control Letters, 55, 4, 304-313 (2006) · Zbl 1129.93332 |
| [15] | Guo, S.; Zhu, F.; Xu, L., Unknown input observer design for Takagi-Sugeno fuzzy stochastic system, International Journal of Control, Automation and Systems, 13, 4, 1003-1009 (2015) |
| [16] | Hassani, H.; Zarei, J.; Chadli, M.; Qiu, J., Unknown input observer design for interval type-2 T-S fuzzy systems with immeasurable premise variables, IEEE Transactions on Cybernetics, 47, 9, 2639-2650 (2016) |
| [17] | Henry, D.; Zolghadri, A., Design of fault diagnosis filters: A multi-objective approach, Journal of the Franklin Institute, 342, 4, 421-446 (2005) · Zbl 1146.93377 |
| [18] | Ichalal, D.; Marx, B.; Ragot, J.; Maquin, D., Fault detection, isolation and estimation for Takagi-Sugeno nonlinear systems, Journal of the Franklin Institute, 351, 7, 3651-3676 (2014) · Zbl 1290.93107 |
| [19] | Jia, Q.; Chen, W.; Wang, P.; Zhang, Y., Design of a PD-type learning observer for reconstruction of actuator faults in descriptor systems, IET Control Theory & Applications, 11, 1, 17-24 (2017) |
| [20] | Jia, Q.; Chen, W.; Zhang, Y.; Li, H., Fault reconstruction and fault-tolerant control via learning observers in Takagi-Sugeno fuzzy descriptor systems with time delays, IEEE Transactions on Industrial Electronics, 62, 6, 3885-3895 (2015) |
| [21] | Jiang, B.; Zhang, K.; Shi, P., Integrated fault estimation and accommodation design for discrete-time Takagi-Sugeno fuzzy systems with actuator faults, IEEE Transactions on Fuzzy Systems, 19, 2, 291-304 (2010) |
| [22] | Kühne, P.; Pöschke, F.; Schulte, H., Fault estimation and fault-tolerant control of the FAST NREL 5-MW reference wind turbine using a proportional multi-integral observer, International Journal of Adaptive Control and Signal Processing, 32, 4, 568-585 (2018) · Zbl 1391.93213 |
| [23] | Lan, J. & Patton, R. J. (2016a). Decentralized fault estimation and fault-tolerant control for large-scale interconnected systems: An integrated design approach. 2016 UKACC 11th international conference on control (CONTROL), August 31-September 2, Belfast, UK, 1-6. |
| [24] | Lan, J.; Patton, R. J., Integrated design of fault-tolerant control for nonlinear systems based on fault estimation and T-S fuzzy modelling, IEEE Transactions on Fuzzy Systems, 25, 5, 1141-1154 (2016) |
| [25] | Lan, J.; Patton, R. J., A new strategy for integration of fault estimation within fault-tolerant control, Automatica, 69, 48-59 (2016) · Zbl 1338.93129 |
| [26] | Lan, J.; Patton, R. J., A decoupling approach to integrated fault-tolerant control for linear systems with unmatched non-differentiable faults, Automatica, 89, 290-299 (2018) · Zbl 1388.93026 |
| [27] | Liu, X.; Gao, Z.; Chen, M. Z., Takagi-Sugeno fuzzy model based fault estimation and signal compensation with application to wind turbines, IEEE Transactions on Industrial Electronics, 64, 7, 5678-5689 (2017) |
| [28] | Liu, Y.; Wang, Z.; Zhou, D., State estimation and fault reconstruction with integral measurements under partially decoupled disturbances, IET Control Theory & Applications, 12, 10, 1520-1526 (2018) |
| [29] | Marx, B.; Koenig, D.; Ragot, J., Design of observers for Takagi-Sugeno descriptor systems with unknown inputs and application to fault diagnosis, IET Control Theory & Applications, 1, 5, 1487-1495 (2007) |
| [30] | Patton, R. J. & Klinkhieo, S. (2009). Actuator fault estimation and compensation based on an augmented state observer approach. Proceedings of the 48th IEEE conference on decision and control, held jointly with the 28th Chinese control conference, 15-18 December, Shanghai, P.R. China. IEEE, 8482-8487. |
| [31] | Pazera, M.; Buciakowski, M.; Witczak, M.; Mrugalski, M., A quadratic boundedness approach to a neural network-based simultaneous estimation of actuator and sensor faults, Neural Computing and Applications (2018) · doi:10.1007/s00521-018-3706-8 |
| [32] | Pazera, M.; Witczak, M.; Korbicz, J., Combined estimation of actuator and sensor faults for non-linear dynamic systems (2017) |
| [33] | Raghavan, S.; Hedrick, J. K., Observer design for a class of nonlinear systems, International Journal of Control, 59, 2, 515-528 (1994) · Zbl 0802.93007 |
| [34] | Reppa, V.; Polycarpou, M. M.; Panayiotou, C. G., Adaptive approximation for multiple sensor fault detection and isolation of nonlinear uncertain systems, IEEE Transactions on Neural Networks and Learning Systems, 25, 1, 137-153 (2014) |
| [35] | Rodrigues, M.; Theilliol, D.; Adam-Medina, M.; Sauter, D., A fault detection and isolation scheme for industrial systems based on multiple operating models, Control Engineering Practice, 16, 2, 225-239 (2008) |
| [36] | Rotondo, D.; Witczak, M.; Puig, V.; Nejjari, F.; Pazera, M., Robust unknown input observer for state and fault estimation in discrete-time Takagi-Sugeno systems, International Journal of Systems Science, 47, 14, 3409-3424 (2016) · Zbl 1346.93236 |
| [37] | Sami, M. & Patton, R. J. (2012). Wind turbine sensor fault tolerant control via a multiple-model approach. The 2012 UKACC international conference on control, Cardiff. |
| [38] | Sami, M.; Patton, R. J., Active fault tolerant control for nonlinear systems with simultaneous actuator and sensor faults, International Journal of Control, Automation, and Systems, 11, 6, 1149-1161 (2013) |
| [39] | Shen, Q.; Jiang, B.; Shi, P., Fault diagnosis and fault-tolerant control based on adaptive control approach (2017), Switzerland: Springer, Switzerland · Zbl 1417.93024 |
| [40] | Talebi, H. A.; Khorasani, K., A neural network-based multiplicative actuator fault detection and isolation of nonlinear systems, IEEE Transactions on Control Systems Technology, 21, 3, 842-851 (2013) |
| [41] | Tan, C. P.; Edwards, C., Sliding mode observers for robust detection and reconstruction of actuator and sensor faults, International Journal of Robust and Nonlinear Control, 13, 5, 443-463 (2003) · Zbl 1036.93025 |
| [42] | Tanaka, K.; Wang, H. O., Fuzzy control systems design and analysis: A linear matrix inequality approach (2001), New York: John Wiley, New York |
| [43] | Witczak, P.; Patan, K.; Witczak, M.; Puig, V.; Korbicz, J., A neural network-based robust unknown input observer design: Application to wind turbine, IFAC-PapersOnLine, 48, 21, 263-270 (2015) |
| [44] | Yang, J.; Zhu, F.; Wang, X.; Bu, X., Robust sliding-mode observer-based sensor fault estimation, actuator fault detection and isolation for uncertain nonlinear systems, International Journal of Control, Automation and Systems, 13, 5, 1037-1046 (2015) |
| [45] | Youssef, T.; Chadli, M.; Karimi, H. R.; Wang, R., Actuator and sensor faults estimation based on proportional integral observer for TS fuzzy model, Journal of the Franklin Institute, 354, 6, 2524-2542 (2017) · Zbl 1398.93202 |
| [46] | Zhang, K.; Jiang, B.; Cocquempot, V., Adaptive observer-based fast fault estimation, International Journal of Control, Automation, and Systems, 6, 3, 320-326 (2008) |
| [47] | Zhang, K.; Jiang, B.; Cocquempot, V., Fuzzy unknown input observer-based robust fault estimation design for discrete-time fuzzy systems, Signal Processing, 128, 40-47 (2016) |
| [48] | Zhang, K.; Jiang, B.; Shi, P., Fault estimation observer design for discrete-time Takagi-Sugeno fuzzy systems based on piecewise Lyapunov functions, IEEE Transactions on Fuzzy Systems, 20, 1, 192-200 (2011) |
| [49] | Zhang, K.; Jiang, B.; Shi, P., Observer-based fault estimation and accommodation for dynamic systems (2013), Berlin: Springer, Berlin |
| [50] | Zhang, K.; Jiang, B.; Shi, P.; Cocquempot, V., Observer-based fault estimation techniques (2018), Cham: Springer, Cham · Zbl 1398.93004 |
| [51] | Zhong, M.; Li, S., Robust optimal H_i/H_∞ fault detection and its applications in a TGSCM control system, Transactions of the Institute of Measurement and Control, 40, 3, 719-732 (2018) |
| [52] | Zhong, M.; Xue, T.; Ding, S. X., A survey on model-based fault diagnosis for linear discrete time-varying systems, Neurocomputing, 306, 51-60 (2018) |
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