Robust fault detection of singular LPV systems with multiple time–varying delays

Ahmadizadeh, S., Zarei, J. and Karimi, H.R. (2014). Robust unknown input observer design for linear uncertain time delay systems with application to fault detection, Asian Journal of Control16(4): 1006–1019.10.1002/asjc.765Search in Google Scholar

Aouaouda, S., Chadli, M., Shi, P. and Karimi, H.R. (2015). Discrete time H₋/H_∞ sensor fault detection observer design for nonlinear systems with parameter uncertainty, International Journal of Robust and Nonlinear Control25(3): 339–361.10.1002/rnc.3089Search in Google Scholar

Bai, L., Tian, Z. and Shi, S. (2006). Design of robust H_∞ fault detection filter for linear uncertain time delay systems, ISA Transactions45(4): 491–502.10.1016/S0019-0578(07)60227-4Search in Google Scholar

Bokor, J. and Balas, G. (2004). Detection filter design for LPV systems—a geometric approach, Automatica40(3): 511–518.10.1016/j.automatica.2003.11.003Search in Google Scholar

Bolea, Y., Puig, V. and Blesa, J. (2014). Linear parameter varying modeling and identification for real-time control of open-flow irrigation canals, Environmental Modeling and Software53: 87–97.10.1016/j.envsoft.2013.10.028Search in Google Scholar

Chen, J. and Patton, R. (1999). Robust Model-Based Fault Diagnosis for Dynamic Systems, Kluwer Academic Publishers, Boston, MA.10.1007/978-1-4615-5149-2Search in Google Scholar

Chen, L., Zhong, M.Y. and Zhang, M.Y. (2011). H_∞ fault detection for linear singular systems with time-varying delay, International Journal of Control, Automation and Systems9(1): 9–14.10.1007/s12555-011-0102-xSearch in Google Scholar

Dai, L. (1989). Singular Control Systems, Springer-Verlag, Berlin.10.1007/BFb0002475Search in Google Scholar

Darouach, M. and Boutayeb, M. (1995). Design of observers for descriptor systems, IEEE Transactions on Automatic Control40(7): 1323–1327.10.1109/9.400467Search in Google Scholar

Ding, S.X. (2008). Model-based Fault Diagnosis Techniques, Springer, Berlin.Search in Google Scholar

Duan, G.R. (2010). Analysis and Design of Descriptor Linear Systems, Springer, New York, NY.10.1007/978-1-4419-6397-0Search in Google Scholar

Duan, G.R., Howe, D. and Patton, R.J. (2002). Robust fault detection in descriptor linear systems via generalized unknown input observers, International Journal of Systems Science33(5): 369–377.10.1080/00207720210123715Search in Google Scholar

Fattouh, A., Sename, O. and Jean-Michel, D. (1999). An unknown input observer design for linear time-delay systems, Proceedings of the 38th Conference on Decision and Control, Phoenix, AZ, USA, Vol. 4, pp. 4222–4227.Search in Google Scholar

Frisk, E. and Nielsen, L. (2006). Robust residual generation for diagnosis including a reference model for residual behavior, Automatica42(3): 437–445.10.1016/j.automatica.2005.10.009Search in Google Scholar

Fu, Y.M., Duan, G.R. and Song, S.M. (2004). Design of unknown input observer for linear time-delay systems, International Journal of Control, Automation, and Systems2(4): 530–535.Search in Google Scholar

Guan, Y. and Saif, M. (1991). A novel approach to the design of unknown input observers, IEEE Transactions on Automatic Control36(5): 632–635.10.1109/9.76372Search in Google Scholar

Habib, H., Rodrigues, M., Mechmeche, C. and Braiek, N.B. (2010). Robust H_∞ fault diagnosis for multi-model descriptor systems: A multi-objective approach, Proceedings of the 18th Mediterranean Conference on Control and Automation, Marrakech, Morocco, pp. 833–838.Search in Google Scholar

Hamdi, H., Rodrigues, M., Mechmeche, C. and Braiek, N. B. (2012a). Robust fault detection and estimation for descriptor systems based on multi-models concept, International Journal of Control, Automation and Systems10(6): 1260–1266.10.1007/s12555-012-0622-zSearch in Google Scholar

Hamdi, H., Rodrigues, M., Mechmeche, C., Theilliol, D. and Braiek, N.B. (2012b). Fault detection and isolation in linear parameter-varying descriptor systems via proportional integral observer, International Journal of Adaptive Control and Signal Processing26(3): 224–240.10.1002/acs.1260Search in Google Scholar

Henry, D., Falcoz, A. and Zolghadri, A. (2009). Structured H_∞/H₋ LPV filters for fault diagnosis: Some new results, Proceedings of the 7th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, Barcelona, Spain, pp. 420–425.Search in Google Scholar

Hou, M. and Patton, R.J. (1996). An LMI approach to H₋/H_∞ fault detection observers, Proceedings of the UK Automatic Control Council International Conference on Control, Exeter, UK, pp. 305–310.Search in Google Scholar

Ichalal, D., Marx, B., Ragot, J. and Maquin, D. (2009). Fault diagnosis in Takagi–Sugeno nonlinear systems, Proceedings of the 7th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, Barcelona, Spain, pp. 504–509.Search in Google Scholar

Karimi, H.R. and Chadli, M. (2012). Robust observer design for Takagi–Sugeno fuzzy systems with mixed neutral and discrete delays and unknown inputs, Mathematical Problems in Engineering2012: 1–13.10.1155/2012/635709Search in Google Scholar

Koenig, D. (2005). Unknown input proportional multiple-integral observer design for linear descriptor systems: Application to state and fault estimation, IEEE Transactions on Automatic Control50(2): 212–217.10.1109/TAC.2004.841889Search in Google Scholar

Koenig, D., Bedjaoui, N. and Litrico, X. (2005). Unknown input observers design for time-delay systems—application to an open-channel, Proceedings of the 44th IEEE Conference on Decision and Control, Seville, Spain, pp. 5794–5799.Search in Google Scholar

Koumboulis, F.N., Fragkoulis, D.G. and Arsenos, P.I. (2011). Towards fault detection in singular Leontief production models, Proceedings of the 16th Conference on Emerging Technologies and Factory Automation, Toulouse, France, pp. 1–4.Search in Google Scholar

Li, F. and Zhang, X. (2012). A delay-dependent bounded real lemma for singular LPV systems with time-variant delay, International Journal of Robust and Nonlinear Control22(5): 559–574.10.1002/rnc.1714Search in Google Scholar

Liu, H., Shi, P., Karimi, H.R. and Chadli, M. (2016). Finite-time stability and stabilisation for a class of nonlinear systems with time-varying delay, International Journal of Systems Science47(6): 1433–1444.10.1080/00207721.2014.932467Search in Google Scholar

Lofberg, J. (2004). Yalmip: A toolbox for modeling and optimization in Matlab, Proceedings of the 2004 IEEE International Symposium on Computer Aided Control Systems Design, Taipei, Taiwan, pp. 284–289.Search in Google Scholar

Lopez-Estrada, F.R., Ponsart, J.C., Theilliol, D. and Astorga-Zaragoza, C.M. (2014). Robust sensor FDI observer for polytopic descriptor LPV systems with unmeasurable scheduling varying parameter, American Control Conference (ACC), Portland, OR, USA, pp. 4452–4457.Search in Google Scholar

Mazars, E., Jaimoukha, I.M. and Li, Z. (2008). Computation of a reference model for robust fault detection and isolation residual generation, Journal of Control Science and Engineering2008: 1–6.10.1155/2008/790893Search in Google Scholar

Meskin, N. and Khorasani, K. (2009). Robust fault detection and isolation of time-delay systems using a geometric approach, Automatica45(6): 1567–1573.10.1016/j.automatica.2009.02.019Search in Google Scholar

Montes de Oca, S., Puig, V. and Blesa, J. (2012a). Robust fault detection based on adaptive threshold generation using interval LPV observers, International Journal of Adaptive Control and Signal Processing26(3): 258–283.10.1002/acs.1263Search in Google Scholar

Montes de Oca, S., Puig, V., Witczak, M. and Dziekan, Ł. (2012b). Fault-tolerant control strategy for actuator faults using LPV techniques: Application to a two degree of freedom helicopter, International Journal of Applied Mathematics and Computer Science22(1): 161–171, DOI: 10.2478/v10006-012-0012-y.10.2478/v10006-012-0012-ySearch in Google Scholar

Ocampo Martínez, C.A., Puig Cayuela, V., Cembrano Gennari, G. and Quevedo Casín, J.J. (2013). Application of predictive control strategies to the management of complex networks in the urban water cycle, IEEE Control Systems Magazine33(1): 15–41.10.1109/MCS.2012.2225919Search in Google Scholar

Puig, V. and Blesa, J. (2013). Limnimeter and rain gauge FDI in sewer networks using an interval parity equations based detection approach and an enhanced isolation scheme, Control Engineering Practice21(2): 146–170.10.1016/j.conengprac.2012.09.015Search in Google Scholar

Puig, V., Cembrano Gennari, G., Romera, J., Quevedo Casín, J.J., Aznar, B., Ramón, G. and Cabot, J. (2009). Predictive optimal control of sewer networks using CORAL tool: Application to Riera Blanca catchment in Barcelona, Water Science and Technology60(4): 869–878.10.2166/wst.2009.42419700825Search in Google Scholar

Saadni, M.S., Chaabane, M. and Mchdi, D. (2005). Stability and stabilizability of a class of uncertain dynamical systems with delays, International Journal of Applied Mathematics and Computer Science15(3): 321–329.Search in Google Scholar

Sadati, M., Hosseinzadeh, M. and Shafiee, M. (2013). Modelling and analysis of quadruped walking robot using singular system theory, Proceedings of the 21st Iranian Conference on Electrical Engineering, Mashhad, Iran, pp. 1–6.Search in Google Scholar

Samiei, E. and Shafiee, M. (2010). Descriptor modeling and response analysis of two rigid-flexible cooperative arms, Proceedings of the 11th International Conference on Control, Automation, Robotics and Vision, Singapore, pp. 149–156.Search in Google Scholar

Shamma, J.S. (1988). Analysis and Design of Gain Scheduled Control Systems, Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA.Search in Google Scholar

Share Pasand, M.M., Aliyari, M. and Taghirad, H.D. (2010). Unknown input proportional integral observer for singular systems: Application to fault detection, 18th Iranian Conference on Electrical Engineering, ICEE, Isfahan, Iran, pp. 662–667.Search in Google Scholar

Sturm, J.F. (1999). Using Sedumi 1.02, a Matlab toolbox for optimization over symmetric cones, Optimization Methods and Software11(1–4): 625–653.Search in Google Scholar

Wang, J.L., Yang, G.H. and Liu, J. (2007). An LMI approach to H₋ index and mixed H₋/H_∞ fault detection observer design, Automatica43(9): 1656–1665.Search in Google Scholar

Wu, M., He, Y. and She, J.H. (2010). Stability Analysis and Robust Control of Time-delay Systems, Springer, Berlin.10.1007/978-3-642-03037-6Search in Google Scholar

Yao, X., Wu, L. and Zheng, W.X. (2011). Fault detection filter design for Markovian jump singular systems with intermittent measurements, IEEE Transactions on Signal Processing59(7): 3099–3109.10.1109/TSP.2011.2141666Search in Google Scholar

Yeu, T.K., Kim, H.S. and Kawaji, S. (2005). Fault detection, isolation and reconstruction for descriptor systems, Asian Journal of Control7(4): 356–367.10.1111/j.1934-6093.2005.tb00398.xSearch in Google Scholar

Youssef, T., Chadli, M., Karimi, H.R. and Zelmat, M. (2014). Design of unknown inputs proportional integral observers for TS fuzzy models, Neurocomputing123: 156–165.10.1016/j.neucom.2013.06.024Search in Google Scholar

Zhai, D., Zhang, Q.L. and Li, J.H. (2014). Fault detection for singular multiple time-delay systems with application to electrical circuit, Journal of the Franklin Institute351(12): 5411–5436.10.1016/j.jfranklin.2014.09.012Search in Google Scholar

Zhang, X. and Zhu, H. (2012). Robust stability and stabilization criteria for discrete singular time delay LPV systems, Asian Journal of Control14(4): 1084–1094.10.1002/asjc.418Search in Google Scholar