Abstract
The problem of virtual sensors design to solve the problems of control and fault diagnosis in nonlinear systems is studied. The problem is solved in three steps: at the first step, the linear model invariant with respect to the disturbance is designed; at the second step, a possibility to estimate the given variable is checked; finally, stability of the observer is obtained. The relations to design virtual sensor of minimal dimension estimating given component of the state vector of the system are obtained. The theoretical results are illustrated by practical example.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Ahmed, Q., Bhatti, A., Iqbal, M.: Virtual sensors for automotive engine sensors fault diagnosis in second-order sliding modes. IEEE Sens. J. 11(9), 1832–1840 (2011)
Albertos, P., Goodwin, G.: Virtual servers for control application. Annu. Rev. Control. 26, 101–112 (2002)
Berkhoff, A., Hekman, T.: Active noise control using finite element-based virtual sensors. In: Proceedings IEEE International Conference Acoustics, Speech and Signal Processing, Brighton, UK (2019)
Blanke, M., Kinnaert, M., Lunze, J., Staroswiecki, M.: Diagnosis and Fault-Tolerant Control. Springer, Heidelberg (2006). https://doi.org/10.1007/978-3-540-35653-0
Galavizh, A., Hassanabadi, A.: Designing fuzzy fault tolerant controller for a DC microgrid based on virtual sensor. In: Proceedings 7th International Conference Control, Instrumentation and Automation, Tabriz, Iran (2021)
Hashlamon, I., Erbatur, K.: Joint sensor fault detection and recovery based on virtual sensor for walking legged robots. In: Proceedings IEEE 23rd International Symposium Industrial Electronics, Istanbul, Turkey, pp. 1210–1204 (2014)
Heredia, G., Ollero, A.: Virtual sensor for failure detection, identification and recovery in the transition phase of a morphing aircraft. Sensors 10, 2188–2201 (2010)
Hosseinpoor, Z., Arefi, M., Razavi-Far, R., Mozafari, N., Hazbavi, S.: Virtual sensors for fault diagnosis: a case of induction motor broken rotor bar. IEEE Sens. J. 21(4), 5044–5051 (2021)
Jove, E., Casteleiro-Roca, J., Quntian, H., Mendez-Perez, J., Calvo-Rolle, J.: Virtual sensor for fault detection, isolation and data recovery for bicomponent mixing machine monitoring. Informatica 30(4), 671–687 (2019)
Kwakernaak, H., Sivan, R.: Linear Optimal Control Systems. Wiley, Hoboken (1972)
Low, X., Willsky, A., Verghese, G.: Optimally robust redundancy relations for failure detection in uncertain systems. Automatica 22, 333–344 (1996)
Luzar, M., Witczak, M.: Fault-tolerant control and diagnosis for LPV system with H-infinity virtual sensor. In: Proceedings 3rd Conference Control and Fault-Tolerant Systems, Barcelona, Spain, pp. 825–830 (2016)
Roy, C., Roy, A., Misra, S.: DIVISOR: dynamic virtual sensor formation for overlapping region in IoT-based sensor-cloud. In: Proceedings 2018 IEEE Wireless Communications and Networking Conference, Barcelona, Spain (2018)
Trevathan, J., Read, W., Sattar, A., Schmidtke, S., Sharp, T.: The virtual sensor concept. In: Proceedings 2020 IEEE SENSORS, Rotterdam, Netherlands (2020)
Wang, Y., Rotondo, D., Puig, V., Cembrano, G.: Fault-tolerant control based on virtual actuator and sensor for discrete-time descriptor systems. IEEE Trans. Circuits Syst. 67(12), 5316–5325 (2020)
Witczak, M.: Fault Diagnosis and Fault Tolerant Control Strategies for Nonlinear Systems. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-03014-2
Zhirabok, A., Shumsky, A., Solyanik, S., Suvorov, A.: Fault detection in nonlinear systems via linear methods. Int. J. Appl. Math. Comput. Sci. 27, 261–272 (2017)
Zhirabok, A., Zuev, A., Shumsky, A.: Sensor fault identification in mechatronic systems described by linear and nonlinear models. In: Proceedings 29th IEEE International Symposium on Industrial Electronics, Delft, The Netherlands, pp. 1071–1076 (2020)
Zhirabok, A., Zuev, A., Shumsky, A.: Sensor fault identification in nonlinear dynamic systems. IFAC Papers On Line 53–2, 750–755 (2020)
Zhirabok, A., Ir, K.C.: Virtual sensors for the functional diagnosis of nonlinear systems. J. Comput. Syst. Sci. Int. 61, 67–75 (2022). https://doi.org/10.1134/S1064230722010130
Acknowledgment
This paper was supported by Russian Scientific Foundation, project 22-29-01303.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Zhirabok, A., Zuev, A., Filaretov, V., Yuan, C., Protcenko, A., Il, K.C. (2022). Robust Virtual Sensors Design for Linear Systems. In: Huang, DS., Jo, KH., Jing, J., Premaratne, P., Bevilacqua, V., Hussain, A. (eds) Intelligent Computing Methodologies. ICIC 2022. Lecture Notes in Computer Science(), vol 13395. Springer, Cham. https://doi.org/10.1007/978-3-031-13832-4_5
Download citation
DOI: https://doi.org/10.1007/978-3-031-13832-4_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-13831-7
Online ISBN: 978-3-031-13832-4
eBook Packages: Computer ScienceComputer Science (R0)