Fault Diagnosis in Nonlinear Hybrid Systems

Alcorta-Garcia, E. and Frank, P. (1997). Deterministic nonlinear observer based approach to fault diagnosis: A survey, Control Engineering Practice 5(5): 663-670.10.1016/S0967-0661(97)00048-8Search in Google Scholar

Blanke, M., Kinnaert, M., Lunze, J., and Staroswiecki, M. (2006). Diagnosis and Fault-Tolerant Control, Springer, Berlin.Search in Google Scholar

Cocquempot, V., Mezyani, T., and Staroswiecki, M. (2004). Fault detection and isolation for hybrid systems using structured parity residuals, 5th Asian Control Conference, Melbourne, Australia, pp. 1204-1212.10.1016/S1474-6670(17)36563-1Search in Google Scholar

Ding, S. (2014). Data-driven Design of Fault Diagnosis and Fault-tolerant Control Systems, Springer, London.10.1007/978-1-4471-6410-4Search in Google Scholar

Gertler, J. (1998). Fault Detection and Diagnosis in Engineering Systems, Marcel Dekker, New York, NY.Search in Google Scholar

Gruyitch, L. (2007). Nonlinear hybrid control systems Nonlinear Analysis: Hybrid Systems 1(1): 139-140.10.1016/j.nahs.2006.10.001Search in Google Scholar

Farhat, A. and Koenig, D. (2017). Robust fault detection for uncertain switched systems, 20th IFAC World Congress, Toulouse, France, pp. 15830-15835.Search in Google Scholar

Hartmanis, J. and Stearns, R. (1966). The Algebraic Structure Theory of Sequential Machines, Prentice-Hall, New York, NY.Search in Google Scholar

Isidori, A. (1995). Nonlinear Control Systems, Springer, London.10.1007/978-1-84628-615-5Search in Google Scholar

Kaldmäe, A., Kotta, Ü., Shumsky, A., and Zhirabok, A. (2013). Measurement feedback disturbance decoupling in discrete-time nonlinear systems, Automatica 49(9): 2887-2891.10.1016/j.automatica.2013.06.013Search in Google Scholar

Laboudi, K., Messai, N., and Manamanni, N. (2015). Fault estimation for a class of switched linear systems, IFAC Symposium SAFEPROCESS 2015, Paris, France, pp. 1054-1059.10.1016/j.ifacol.2015.09.666Search in Google Scholar

Leth, J. and Wisniewski, R. (2014). Local analysis of hybrid systems on polyhedral sets with state-dependent switching, International Journal of Applied Mathematics and Computer Science 24(2): 341-355, DOI: 10.2478/amcs-2014-0026.10.2478/amcs-2014-0026Open DOISearch in Google Scholar

Li, J., Ding, S., Qiu, J., Yang, Y., and Zhang, Y. (2016). Approach for discrete-time nonlinear systems via piecewise-fuzzy Lyapunov functions, IEEE Transactions on Fuzzy Systems 24(6): 1320-1333.10.1109/TFUZZ.2016.2514371Search in Google Scholar

Patton, R. (1994). Robust model-based fault diagnosis: The state of the art, IFAC Symposium SAFEPROCESS 1994, Espoo, Finland, pp. 1-24.10.1016/S1474-6670(17)47997-3Search in Google Scholar

Patton, R., Frank, P., and Clark, R. (2000). Issues of Fault Diagnosis for Dynamic Systems, Springer, London.10.1007/978-1-4471-3644-6Search in Google Scholar

Pröll, S., Jarmolowitz, F., and Lunze, J. (2015). Structural diagnosability analysis of switched systems, IFAC Symposium SAFEPROCESS 2015, Paris, France, pp. 156-163.10.1016/j.ifacol.2015.09.520Search in Google Scholar

Schreier, G., Ragot, J., Patton, R., and Frank, F. (1997). Observer design for a class of nonlinear systems, IFAC Symposium SAFEPROCESS 1997, Hull, UK, pp. 498-503.Search in Google Scholar

Shumsky, A. and Zhirabok, A. (2006). Nonlinear diagnostic filter design: Algebraic and geometric points of view, International Journal of Applied Mathematics and Computer Science 16(1): 115-127.Search in Google Scholar

Shumsky, A. and Zhirabok, A. (2010). Unified approach to the problem of full decoupling via output feedback, European Journal of Control 16(4): 313-325.10.3166/ejc.16.313-325Search in Google Scholar

Shumsky, A., Zhirabok, A., Jiang, B., and Yang, H. (2012). Transformation of hybrid systems: Application to reduced order observer design, IASTED International Conference on Control and Applications, Crete, Greece, pp. 98-103.10.2316/P.2012.781-041Search in Google Scholar

Shumsky, A. and Zhirabok, A. (2012). Redundancy relations for fault diagnosis in hybrid systems, IFAC Symposium SAFEPROCESS 2012, Mexico, Mexico, pp. 1226-1231.10.3182/20120829-3-MX-2028.00039Search in Google Scholar

Tabatabaeipour, S., Ravn, A., Izadi-Zamanabadi, R., and Bak, T. (2009). Active fault diagnosis of linear hybrid systems, IFAC Symposium SAFEPROCESS 2009, Barcelona, Spain, pp. 211-216.10.3182/20090630-4-ES-2003.00035Search in Google Scholar

Yang, H., Jiang, B., and Cocquempot, V. (2010). Fault Tolerant Control Design for Hybrid Systems, Springer, Berlin/Heidelberg.10.1007/978-3-642-10681-1Search in Google Scholar

Witczak, M. (2014). Fault Diagnosis and Fault Tolerant Control Strategies for Nonlinear Systems, Springer, Berlin/Heidelberg.10.1007/978-3-319-03014-2Search in Google Scholar

Zattoni, E. (2018). A geometric approach to structural model matching by output feedback in linear impulsive systems, International Journal of Applied Mathematics and Computer Science 28(1): 25-38, DOI: 10.2478/amcs-2018-0002.10.2478/amcs-2018-0002Open DOISearch in Google Scholar

Zhao, S., Huang, B., Luan, X., Yin, Y., and Liu, F. (2015). Robust fault detection and diagnosis for multiple-model systems with uncertainties, IFAC Symposium SAFEPROCESS 2015, Paris, France, pp. 137-142.10.1016/j.ifacol.2015.09.517Search in Google Scholar

Zhirabok, A. and Shumsky, A. (2008). The Algebraic Methods for Analysis of Nonlinear Dynamic Systems, Dalnauka, Vladivostok, (in Russian).Search in Google Scholar

Zhirabok, A., Shumsky, A., and Pavlov, S. (2017). Diagnosis of linear dynamic systems by the nonparametric method, Automation and Remote Control 78(7): 1173-1188.10.1134/S0005117917070013Search in Google Scholar

Zhirabok, A., Shumsky, A., Solyanik, S., and Suvorov, A. (2017). Fault detection in nonlinear systems via linear methods, International Journal of Applied Mathematics and Computer Science 27(2): 261-272, DOI: 10.1515/amcs-2017-0019.10.1515/amcs-2017-0019Open DOISearch in Google Scholar