Fault reconstruction for Takagi–Sugeno fuzzy systems via learning observers

References

• Alcorta García, E., & Frank, P.M. (1997). Deterministic nonlinear observer-based approaches to fault diagnosis: A survey. Control Engineering Practice, 5(5), 663–670.
   Web of Science ®Google Scholar
• Alwi, H., Edwards, C., & Marcos, A. (2012). Fault reconstruction using a LPV sliding mode observer for a class of LPV system. Journal of the Franklin Institute, 349(2), 510–530.
   Web of Science ®Google Scholar
• Blanke, M., Kinnaert, M., Lunze, J., & Staroswiecki, M. (2006). Diagnosis and fault-tolerant control. Berlin, Heidelberg: Springer-Verlag.
   Google Scholar
• Bruzelius, F., Pettersson, S., & Breitholtz, C. (2004). Linear parameter-varying descriptions of nonlinear systems. In Proceedings of the American Control Conference (pp. 1374–1379). Boston, MA.
   Google Scholar
• Chadli, M., & Karimi, H.R. (2013). Robust observer design for unknown inputs Takagi-Sugeno models. IEEE Transactions on Fuzzy Systems, 21(1), 158–164.
   Web of Science ®Google Scholar
• Chang, W.J., Kuo, C.P., & Chen, P.H. (2011). Fuzzy control for two-link arm robot via LPV T-S fuzzy models. In IEEE International Conference on Robotics and Biomimetics (pp. 2688–2693). Phuket.
   Google Scholar
• Chen, J., & Patton, R.J. (2012). Robust model-based fault diagnosis for dynamic systems. New York: Springer Publishing Company.
   Google Scholar
• Chen, W., Chen, W.T., Saif, M., Wu, H., & Li, M. (2014). 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.
   Web of Science ®Google Scholar
• Chen, W., & Saif, M. (2007). Observer-based fault diagnosis of satellite system subject to time-varying thruster faults. Journal of Dynamic Systems, Measurement and Control, 129(3), 352–356.
   Web of Science ®Google Scholar
• Chen, W.T., & Saif, M. (2010). Fuzzy nonlinear unknown input observer design with fault diagnosis applications. Journal of Vibration and Control, 16(3), 377–401.
   Web of Science ®Google Scholar
• Chilali, M., & Gahinet, P. (1996). H∞ design with pole placement constraints: An LMI approach. IEEE Transaction on Automatic Control, 41(3), 358–367.
   Web of Science ®Google Scholar
• Clark, R.N. (1978). Instrument fault detection. IEEE Transactions on Aerospace Electronic Systems, 14, 456–465.
   Web of Science ®Google Scholar
• Corless, M., & Tu, J. (1998). State and input estimation for a class of uncertain systems. Automatica, 34(6), 757–764.
   Web of Science ®Google Scholar
• Ding, S.X. (2008). Model-based fault diagnosis techniques-design schemes, algorithms, and tools. London: Springer-Verlag.
   Google Scholar
• Edwards, C. (2004). A comparison of sliding mode and unknown input observers for fault reconstruction. In Proceedings of 43rd IEEE Conference on Decision and Control (pp. 5279–5284). doi:10.1109/CDC.2004.1429646
   Google Scholar
• Edwards, C., Yan, X.G., & Spurgeon, S.K. (2007). On the solvability of the constrained Lypunov problem. IEEE Transactions on Automatic Control, 52(10), 1982–1987.
   Web of Science ®Google Scholar
• Frank, P.M. (1990). Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy-A survey and some new results. Automatica, 26(3), 459–474.
   Web of Science ®Google Scholar
• Fu, Y.P., Cheng, Y.H., & Jiang, B. (2010). Robust actuator fault estimation for satellite control system via fuzzy proportional multiple-integral observer method. In Proceedings of the 29th Chinese Control Conference (pp. 3942–3946). Beijing.
   Google Scholar
• Gao, Z.F., Jiang, B., Zhang, Y.M., & Sun, F.C. (2010). Active fault-tolerant control design for TS fuzzy systems with application to a near space vehicle. In IEEE International Symposium on Intelligent Control (pp. 123–128). Yokohama.
   Google Scholar
• Gerland, P., Gross, D., Schulte, H., & Kroll, A. (2010). Design of sliding mode observers for TS fuzzy systems with application to disturbance and actuator fault estimation. In Proceedings of the 49th IEEE Conference on Decision and Control (pp. 4373–4378). Atlanta, GA.
   Google Scholar
• Hwang, I., Kim, S., Kim, Y., & Seah, C.E. (2010). A survey of fault detection, isolation and reconfiguration methods. IEEE Transactions On Control System Technology, 18(3), 636–653.
   Web of Science ®Google Scholar
• Ichalal, D., Marx, B., Maquin, D., & Ragot, J. (2012). Observer design and fault tolerant control of Takagi-Sugeno nonlinear systems with unmeasurable premise variables. Fault Diagnosis in Robotic and Industrial Systems, Nov., 1–21.
   Google Scholar
• Ichalal, D., Marx, B., Ragot, J., & Maquin, D. (2009). Simultaneous state and unknown inputs estimation with PI and PMI observers for Takagi Sugeno model with unmeasurable premise variables. In 17th Mediterranean Conference on Control & Automation (pp. 353–358). Thessaloniki.
   Google Scholar
• Ichalal, D., Marx, B., Ragot, J., & Maquin, D. (2010). Sate estimation of Takagi-Sugeno systems with unmeasurable premise variables. IET Control Theory & Applications, 4(5), 897–908.
   Web of Science ®Google Scholar
• Isermann, R. (2005). Model-based fault-detection and diagnosis-status and applications. Annual Reviews in Control, 29(1), 71–85.
   Web of Science ®Google Scholar
• Jia, Q.X., Chen, W., Jin, Y., Zhang, Y.C., & Li, H.Y. (2014). A new strategy for fault estimation in Takagi-Sugeno fuzzy systems via a fuzzy learning observer. In Proceedings of the 11th World Congress on Intelligent Control and Automation (pp. 3228–3233). Shenyang.
   Google Scholar
• Jia, Q.X., Chen, W., Zhang, Y.C., & Chen, X.Q. (2014). Robust fault reconstruction via learning observers in linear parameter-varying systems subject to loss of actuator effectiveness. IET Control Theory & Applications, 8(1), 42–50.
   Web of Science ®Google Scholar
• Jia, Q.X., Zhang, Y.C., Chen, W., & Shen, Y. (2012). A novel fault reconstruction approach to satellite attitude control system via learning unknown input observer and H∞ techniques. In 2012 American Control Conference (pp. 5160–5162). Montreal, QC: IEEE.
   Google Scholar
• Jiang, B., Staroswiecki, M., & Cocquempot, V. (2006). Fault accommodation for nonlinear dynamic systems. IEEE Transactions on Automatic Control, 51(9), 1578–1583.
   Web of Science ®Google Scholar
• Liu, J.Z., Hu, Y., & Lin, Z.W. (2013). State-feedback H∞ control for LPV system using T-S fuzzy linearization approach. Mathematical Problems in Engineering, 2013, 169454. doi:10.1155/2013/169454
   Web of Science ®Google Scholar
• Liu, M., Cao, X., & Shi, P. (2013). Fuzzy-model-based fault-tolerant design for nonlinear stochastic systems against simultaneous sensor and actuator faults. IEEE Transactions on Fuzzy systems, 21(5), 789–799.
   Web of Science ®Google Scholar
• Ma, L.L., Wang, J.Z., & Wang, S.K. (2004). Robust fault detection using iterative learning observer for nonlinear systems. In Proceedings of the World Congress on Intelligent Control and Automation (pp. 1724–1726). Hangzhou.
   Google Scholar
• Mehrabian, A.R., & Hashemi, S.V. (2007). Fuzzy linear parameter varying modeling and control of an anti-air missile. International Journal of Control, Automation, and Systems, 5(3), 324–328.
   Web of Science ®Google Scholar
• Nguang, S.K., Shi, P., & Ding, S.X. (2006). Delay-dependent fault estimation for uncertain time-delay nonlinear systems: An LMI approach. International Journal of Robust and Nonlinear Control, 16(18), 913–933.
   Web of Science ®Google Scholar
• Patton, R.J., Chen, L.J., & Klinkhieo, S. (2012). An LPV pole-placement approach to friction compensation as an FTC problem. International Journal of Applied Mathematics and Computer Science, 22(1), 149–160.
   Web of Science ®Google Scholar
• Patton, R.J., & Klinkhieo, S. (2010). LPV fault estimation and FTC of a two-link manipulator. In Proceedings of the American Control Conference (pp. 4647–4652). Baltimore, MD.
   Google Scholar
• Persis, C.D., & Isidori, A. (2001). A geometric approach to nonlinear fault detection and isolation. IEEE Transactions on Automatic Control, 46(6), 853–865.
   Web of Science ®Google Scholar
• Rodrigues, M., Theilliol, D., & Sauter, D. (2005). Design of a robust polytopic unknown input observer for FDI: Application for systems described by a multi-model representation. In 44th IEEE Conference on Decision and Control and 2005 European Control Confernce (pp. 6268–6273). Seville.
   Google Scholar
• Sami, M., & Patton, R.J. (2012a). A multiple-model approach to fault tolerant tracking control for non-linear systems. In 20th Mediterranean Conference on Control & Automation (pp. 498–503). Barcelona.
   Google Scholar
• Sami, M., & Patton, R.J. (2012b). Wind turbine sensor fault tolerant control via a multiple-model approch. In UKACC International Conference on Control (pp. 114–119). Cardiff.
   Google Scholar
• Shen, Q.K., Jiang, B., & Cocquempot, V. (2012). Fault-tolerant control for T-S fuzzy systems with application to near-space hypersonic vehicle with actuator faults. IEEE Transactions on Fuzzy Systems, 20(4), 652–665.
   Web of Science ®Google Scholar
• Takagi, T., & Sugeno, M. (1985). Fuzzy identification of systems and its applications to modelling and control. IEEE Transactions on Systems, Man and Cybernetics, SMC-15(1), 116–132.
   Web of Science ®Google Scholar
• Veluvolu, K.C., Defoort, M., & Soh, Y.C. (2014). High-gain observer with sliding mode for nonlinear state estimation and fault reconstruction. Journal of the Franklin Institute, 351(4), 1995–2014.
   Web of Science ®Google Scholar
• Weng, Z., Patton, R.J., & Cui, P. (2008). Robust fault estimation for linear parameter-varying time-delay systems. In 16th Mediteranean Conference on Control and Automation (pp. 292–296). Ajaccio.
   Google Scholar
• Xu, S. (2002). Robust H∞ filtering for a class of discrete-time uncertain nonlinear systems with state delay. IEEE Transactions on Circuits and Systems I, 49(12), 1853–1859.
   Google Scholar
• Yan, X.G., & Edwards, C. (2007). Nonlinear robust fault reconstruction and estimation using a sliding mode observer. Automatica, 43(9), 1605–1614.
   Web of Science ®Google Scholar
• Yao, L.N., Qin, J., Wang, H., & Jiang, B. (2012). Design of new fault diagnosis and fault tolerant control scheme for non-Gaussian singular stochastic distruibution systems. Automatica, 48(9), 2305–2313.
   Web of Science ®Google Scholar
• Zhang, J., Swain, A.K., & Nguang, S.K. (2014). Simultaneous robust actuator and sensor fault estimation for uncertain non-linear Lipschitz systems. IET Control Theory & Applications, 8(14), 1364–1374.
   Web of Science ®Google Scholar
• Zhang, K., Jiang, B., & Shi, P. (2009). A new approach to observer-based fault-tolerant controller design for Takagi-Sugeno fuzzy systems with state delay. Circuits System and Signal Processing, 28(5), 679–697.
   Web of Science ®Google Scholar