On Some Ways to Implement State–Multiplicative Fault Detection in Discrete–Time Linear Systems

Baïkeche, H., Marx, B., Maquin, D., and Ragot, J. (2006). On parametric and nonparametric fault detection in linear closed-loop systems, 4th Workshop on Advanced Control and Diagnosis, Nancy, France, pp. 1–6. Search in Google Scholar

Borutzky, W. (2021). Bond Graph Modelling for Control, Fault Diagnosis and Failure Prognosis, Springer, Cham.10.1007/978-3-030-60967-2 Search in Google Scholar

Chen, W., Khan, A.Q., Abid, M., and Ding, S.X. (2011). Integrated design of observer based fault detection for a class of uncertain nonlinear systems, International Journal of Applied Mathematics and Computer Science 21(3): 423–430, DOI: 10.2478/v10006-011-0031-0. Otwórz DOISearch in Google Scholar

Chiang, L.H., Russell, E.L., and Braatz, R.D. (2001). Fault Detection and Diagnosis in Industrial Systems, Springer, London.10.1007/978-1-4471-0347-9 Search in Google Scholar

De Oliveira, M.C., Geromel, J.C., and Bernussou, J. (2002). Extended H₂ and H_∞ norm characterizations and controller parametrizations for discrete-time systems, International Journal of Control 75(9): 666–679.10.1080/00207170210140212 Search in Google Scholar

Ding, S. (2021). Advanced Methods for Fault Diagnosis and Fault-tolerant Control, Springer, Cham. Search in Google Scholar

Doraiswami, R. and Cheded, L. (2012). Kalman filter for parametric fault detection. An internal model principle-based approach, IET Control Theory and Applications 6(5): 715–725. Search in Google Scholar

Döhler, M., Mevel, L., and Zhang, Q. (2016) Fault detection, isolation and quantification from Gaussian residuals with application to structural damage diagnosis, Annual Reviews in Control 42(C): 244–256.10.1016/j.arcontrol.2016.08.002 Search in Google Scholar

Ellis, G. (2002). Observers in Control Systems: A Practical Guide, Academic Press, San Diego. Search in Google Scholar

Felicio, P.A.S.A. and Lourtie, P.M.G. (2006). Applicability of standard formulation parametric fault detection methods, 14th Mediterranean Conference on Control and Automation, Ancona, Italy, pp. 1–6. Search in Google Scholar

Ferdowsi, H., Jagannathan, S. (2011). Unified model-based fault diagnosis scheme for nonlinear discrete-time systems with additive and multiplicative faults, 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, USA, pp. 1570–1575. Search in Google Scholar

Filasová, A., Krokavec, D., and Liššinský, P. (2016). Conditions with D-stability circle area in design of observer-based fault estimation, Applied Mathematical Sciences 10(35): 1705–1717.10.12988/ams.2016.63112 Search in Google Scholar

Gao, Z. (2015). Fault estimation and fault-tolerant control for discrete-time dynamic systems, IEEE Transactions on Industrial Electronics 62(4): 3874–3884.10.1109/TIE.2015.2417511 Search in Google Scholar

Gao, C. and Duan, G. (2012). Robust adaptive fault estimation for a class of nonlinear systems subject to multiplicative faults, Circuits, Systems, and Signal Processing 31(6): 2035–2046.10.1007/s00034-012-9434-x Search in Google Scholar

Gershon, E., Shaked, U., and Yaesh, I. (2005). H_∞ Control and Estimation of State-multiplicative Linear Systems, Springer, London. Search in Google Scholar

Gertler, J. (1998). Fault Detection and Diagnosis in Engineering Systems, CRC Press, Boca Raton. Search in Google Scholar

Gil, P., Santos, F., Palma, L., and Cardoso, A. (2015). Recursive subspace system identification for parametric fault detection in nonlinear systems, Applied Soft Computing 37(C): 444–455.10.1016/j.asoc.2015.08.036 Search in Google Scholar

Hamdi, H., Rodrigues, M., Rabaoui, B., and Benhadj Braiek, N. (2021). A fault estimation and fault–tolerant control based sliding mode observer for LPV descriptor systems with time delay, International Journal of Applied Mathematics and Computer Science 31(2): 247–258, DOI: 10.34768/amcs-2021-0017. Otwórz DOISearch in Google Scholar

Hogben, L. (2007), Handbook of Linear Algebra, Chapman & Hall/CRC, Boca Raton. Search in Google Scholar

Huang, L., Ren, H., Chai, Y., and Qu, J. (2021). A fault detection method based on stacking the SAE-SRBM for nonstationary and stationary hybrid processes, International Journal of Applied Mathematics and Computer Science 31(1): 29–43, DOI: 10.34768/amcs-2021-0003. Otwórz DOISearch in Google Scholar

Khargonekar, P.P. and Petersen, I.R. (1990). Robust stabilization of uncertain linear systems: Quadratic stabilizability and H_∞ control theory, IEEE Transactions on Automatic Control 35(3): 356–361.10.1109/9.50357 Search in Google Scholar

Kim, K.S. and Rew, K.H. (2013). Reduced order disturbance observer for discrete-time linear systems, Automatica 49(4): 968–975.10.1016/j.automatica.2013.01.014 Search in Google Scholar

Korovin, S.K. and Fomichev, V.V. (2009). State Observers for Linear Systems with Uncertainty, De Gruyter, Berlin.10.1515/9783110218138 Search in Google Scholar

Krokavec, D. and Filasová, A. (2019a). H_∞ norm principle in residual filter design for discrete-time linear positive systems, European Journal of Control 45: 17–29.10.1016/j.ejcon.2018.10.001 Search in Google Scholar

Krokavec, D. and Filasová, A. (2019b). On fault detection for discrete-time linear state-multiplicative systems with uncorrelated multiplicative faults, 6th International Conference on Control, Decision and Information Technologies, Paris, France, pp. 894-899.10.1109/CoDIT.2019.8820338 Search in Google Scholar

Krokavec, D. and Filasová, A. (2020). Detection of state-multiplicative faults in discrete-time linear systems, in A. Bartoszewicz et al. (Eds), Advances in Intelligent Systems and Computing, Springer, Cham, pp. 1424–1433.10.1007/978-3-030-50936-1_118 Search in Google Scholar

Krokavec, D. and Filasová, A. (2021). Quadratic stabilization of linear uncertain positive discrete-time systems, Symmetry 13(9): 1–20.10.3390/sym13091725 Search in Google Scholar

Luenberger, D.G. (1979). Introduction to Dynamic Systems: Theory, Models and Applications, Wiley, New York. Search in Google Scholar

Park, Y.J., Fan, S.K.S., and Hsu, C.Y. (2020). A review on fault detection and process diagnostics in industrial processes, Processes 8(9): 1–26.10.3390/pr8091123 Search in Google Scholar

Sun, Z. and Yang, Z. (2014). Joint parametric fault diagnosis and state estimation using KF-ML method, IFAC Proceedings Volumes 47(3): 8293–8298.10.3182/20140824-6-ZA-1003.01899 Search in Google Scholar

Wu, C., Qi, J., Song, D., Qi, X., and Han, J. (2015). Simultaneous state and parameter estimation based actuator fault detection and diagnosis for an unmanned helicopter, International Journal of Applied Mathematics and Computer Science 25(1): 175–187, DOI: 10.1515/amcs-2015-0013. Otwórz DOISearch in Google Scholar

Zhong, M., Ma, C., and Ding, S.X. (2005). Design of parametric fault detection systems: An H-infinity optimization approach, Journal of Control Theory and Applications 2(1): 35–41.10.1007/s11768-005-0058-6 Search in Google Scholar

• A Genetic Algorithm Based Optimized Convolutional Neural Network for Face Recognition
• Efficient Face Detection Based Crowd Density Estimation using Convolutional Neural Networks and an Improved Sliding Window Strategy
• Hospitalization Patient Forecasting Based on Multi–Task Deep Learning
• Lightweight Compression with Encryption Based on Asymmetric Numeral Systems
• Infrared Small–Target Detection Under a Complex Background Based on a Local Gradient Contrast Method
• Generation of Synchronizing State Machines from a Transition System: A Region–Based Approach
• A Contemporarymulti–Objective Feature Selection Model for Depression Detection Using a Hybrid pBGSK Optimization Algorithm
• FSPL: A Meta–Learning Approach for a Filter and Embedded Feature Selection Pipeline
• On the Finite Time Stabilization Via Robust Control for Uncertain Disturbed Systems
• Implications of the Arithmetic Ratio of Prime Numbers for RSA Security
• Fractional Time–Invariant Compartmental Linear Systems
• Decentralized Static Output Feedback Controller Design for Linear Interconnected Systems