On discrete-time observer structures for fault estimation



Published Jul 5, 2016
Dusan Krokavec Anna Filasov´ Pavol Liščinsky


In the paper there is proposed a modified technique for system faults estimation in linear dynamic systems, which gives the possibility simultaneously estimate the system state and faults. Using a discrete-time observer form, the considered faults are assumed to be additive, thereby the principle can be applied for a broader class of time-varying fault signals. An enhanced algorithm is provided to verify stability of the observer with improved performance of fault estimation. Exploiting the given procedure the proposed technique allows to obtain signals that can be further used for thresholds setting in the fault residual scheme. The approach utilizes the measurable output vector variables and the design conditions are based on linear matrix inequality technique.

How to Cite

Krokavec, D., Filasov´, A., & Liščinsky, P. (2016). On discrete-time observer structures for fault estimation. PHM Society European Conference, 3(1). https://doi.org/10.36001/phme.2016.v3i1.1613
Abstract 91 | PDF Downloads 106



linear matrix inequalities, Linear dynamic systems, discrete-time observers, additive fault estimation, fault residuals, enhanced Lyapunov function

Ding, S. (2013) Model-based fault diagnosis techniques. Design schemes, algorithms, and tools, Berlin, Springer- Verlag.
Filasová, A., Gontkovič, D. & Krokavec, D. (2013). Observer-based fault estimation for linear systems with distributed time delay. Archives of control sciences, 23(2), 169-186.
He, S. (2014). Fault estimation for T-S fuzzy Markovian jumping systems based on the adaptive observer. International journal of control, automation and systems, 12(5), 977-985.
He, S. & Liu, F. (2012). Adaptive observer-based fault estimation for stochastic Markovian jumping systems. Abstract and applied analysis, 2012, Article ID 176419, 11p, doi 10.1155/2012/176419.
Jiang, B. & Chowdhury, F.N. (2005). Fault estimation and accommodation for linear MIMO discrete-time systems. IEEE transactions on control systems technology, 13(3), 493-499.
Krokavec, D. & Filasová, A. (2013). Actuator faults reconstruction using reduced-order fuzzy observer structures. In Proceedings of the 12th EUCA European control conference ECC’13, Zurich, Switzerland, 4299-4304.
Krokavec, D. & Filasová, A. (2014). H1 control of discrete-time stochastic state-multiplicative systems constrained in state by equality constraints. Procedings of 19th IFAC world congres, Cape Town, South Africa, 8699-8704.
Krokavec, D. & Filasová, A. (2015). Design of PD observerbased fault estimator for a class of Takagi-Sugeno descriptor systems. IFAC-PapersOnLine, 48(11), 754-759.
Mahmoud, M.S. & Xia, Y. (2014). Analysis and synthesis of fault-tolerant control systems, Chichester, John Wiley & Sons.
Patton, R.J. & Klinkhieo, S. (2009). Actuator fault estimation and compensation based on an augmented state observer approach. In Proceedings of joint 48th IEEE conference on decision and control and 28th Chinese control conference, Shanghai, China, 8482-8487.
Shi, F. & Patton, R.J. (2014). Simultaneous state and fault estimation for descriptor systems using an augmented PD observer. In Procedings of 19th IFAC world congres, Cape Town, South Africa, 8006-8011.
Tabatabaeipour, S.M. & Bak, T. (2014). Robust observerbased fault estimation and accommodation of discretetime piecewise linear systems. Journal of the Franklin institute, 35(1), 277-295.
Wang, Z., Rodrigues, M., Theilliol, D. & Shen, Y. (2015). Fault estimation filter design for discrete-time descriptor systems. IET control theory & applications, 9(10), 1587-1594.
Witczak, M., Zegar, D. & Pazera, M. (2016). Design of an adaptive sensor and actuator fault estimation scheme with a quadratic boundedness approach. In Advanced and intelligent computations in diagnosis and control, Z. Kowalczuk (Ed.), Cham, Springer, 49-59.
Zhang, K. & Jiang, B. (2008). Analysis and design of adaptive fault estimation for time-varying delay systems. In Proceedings of the 27th Chinese control conference, Kunming, China, 38-42.
Zhang, K., Jiang, B. & Cocquempot, V. (2008). Adaptive observer-based fast fault estimation. International journal on control automation and systems, 6(3), 320-326.
Zhang, K. & Jiang, B. & Shi, P. (2013). Observer-based fault estimation and accomodation for dynamic systems, Berlin, Springer-Verlag.
Technical Papers