Abstract
The paper deals with the design of an active fault-tolerant control scheme, which is based on the actuator and sensor fault estimator. Thus, the paper starts with the development of such a fault estimation scheme capable of estimating these faults simultaneously. It is assumed that the estimator should have a desired \(H_\infty \) performance. Subsequently, a new fault-tolerant control law is proposed, which is based on a parallel digital twin of the system. Thus, the goal is to control the system in such a way as to follow the states of the references digital twin irrespective of the faults. Finally, the effectiveness of the proposed approach is verified with the laboratory three-tank system. In particular, the performance of the system is tested against a set of simultaneous actuator and sensor faults, respectively.
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References
Ahmad, M., Ali, A., Choudhry, M.A.: Fixed-structure \({H}_\infty \) controller design for two-rotor aerodynamical system (tras). Arabian Journal for Science and Engineering 41(9), 3619–3630 (2016)
Aouaouda, S., Chadli, M., Righi, I.: Active ftc approach design for ts fuzzy systems under actuator saturation. In: 2019 6th International Conference on Control, Decision and Information Technologies (CoDIT), pp. 483–488. IEEE (2019)
Blanke, M., Kinnaert, M., Lunze, J., Staroswiecki, M.: Diagnosis andFault-Tolerant Control.Springer-Verlag, Berlin, Heidelberg, New York (2003)
Blanke, M., Schröder, J., Kinnaert, M., Lunze, J., Staroswiecki, M.:Diagnosis and Fault-Tolerant Control.Springer (2006)
Ding, B.: Dynamic output feedback predictive control for nonlinear systems represented by a Takagi-Sugeno model. Fuzzy Systems, IEEE Transactions on 19(5), 831–843 (2011)
Edwards, C., Lombaerts, T., Smaili, H.: Fault Tolerant Flight Control: A Benchmark Challenge. Lecture Notes in Control and Information Sciences. Springer (2010)
Kommuri, S.K., Defoort, M., Karimi, H.R., Veluvolu, K.C.: A robust observer-based sensor fault-tolerant control for pmsm in electric vehicles. IEEE Transactions on Industrial Electronics 63(12), 7671–7681 (2016)
Lan, J., Patton, R.J.: A decoupling approach to integrated fault-tolerant control for linear systems with unmatched non-differentiable faults. Automatica 89, 290–299 (2018)
Li, Y., Tong, S.: Adaptive neural networks decentralized ftc design for nonstrict-feedback nonlinear interconnected large-scale systems against actuator faults. IEEE transactions on neural networks and learning systems 28(11), 2541–2554 (2016)
López-Estrada, F.R., Ponsart, J.C., Astorga-Zaragoza, C.M., Camas-Anzueto, J.L., Theilliol, D.: Robust sensor fault estimation for descriptor-lpv systems with unmeasurable gain scheduling functions: Application to an anaerobic bioreactor. International Journal of Applied Mathematics and Computer Science 25(2), 233–244 (2015)
Maalej, S., Kruszewski, A., Belkoura, L.: Stabilization of takagi-sugeno models with non-measured premises: Input-to-state stability approach. Fuzzy Sets and Systems 329, 108–126 (2017)
Márquez, R., Guerra, T.M., Bernal, M., Kruszewski, A.: Asymptotically necessary and sufficient conditions for takagi-sugeno models using generalized non-quadratic parameter-dependent controller design. Fuzzy Sets and Systems 306, 48–62 (2017)
de Oca, S.M., Rotondo, D., Nejjari, F., Puig, V.: Fault estimation and virtual sensor ftc approach for lpv systems. In: 2011 50th IEEE Conference on Decision and Control and European Control Conference, pp. 2251–2256. IEEE (2011)
Pazera, M., Buciakowski, M., Witczak, M.: Robust multiple sensor fault-tolerant control for dynamic non-linear systems: Application to the aerodynamical twin-rotor system. International Journal of Applied Mathematics and Computer Science 28(2), 297–308 (2018)
Pazera, M., Witczak, M.: Towards robust simultaneous actuator and sensor fault estimation for a class of nonlinear systems: Design and comparison. IEEE Access 7, 97143–97158 (2019)
Rotondo, D., Witczak, M., Puig, V., Nejjari, F., Pazera, M.: Robust unknown input observer for state and fault estimation in discrete-time takagi-sugeno systems. International Journal of Systems Science Vol. 47(iss. 14), 1–16 (2016)
Sun, K., Sui, S., Tong, S.: Optimal adaptive fuzzy ftc design for strict-feedback nonlinear uncertain systems with actuator faults. Fuzzy Sets and Systems 316, 20–34 (2017)
Tabbache, B., Rizoug, N., Benbouzid, M.E.H., Kheloui, A.: A control reconfiguration strategy for post-sensor ftc in induction motor-based evs. IEEE transactions on vehicular technology 62(3), 965–971 (2012)
Takagi, T., Sugeno, M.: Fuzzy identification of systems and its application to modeling and control. IEEE Transactions on Systems, Man and Cybernetics 15(1), 116–132 (1985)
Wang, T., Qiu, J., Gao, H.: Adaptive neural control of stochastic nonlinear time-delay systems with multiple constraints. IEEE Transactions on Systems, Man, and Cybernetics: Systems 47(8), 1875–1883 (2016)
Witczak, M.: Modelling and Estimation Strategies for Fault Diagnosis of Non-linear Systems. Springer-Verlag, Berlin (2007)
Witczak, M.: Fault Diagnosis and Fault-Tolerant Control Strategies for Non-linear Systems. Springer-Verlag, Berlin-Heidelberg (2014)
Witczak, M.: Fault diagnosis and fault-tolerant control strategies fornon-linear systems.Lecture Notes in Electrical Engineering 266 (2014)
Witczak, M., Buciakowski, M., Aubrun, C.: Predictive actuator fault-tolerant control under ellipsoidal bounding. International Journal of Adaptive Control and Signal Processing 30(2), 375–392 (2016)
Wu, H.N., Feng, S., Liu, Z.Y., Guo, L.: Disturbance observer based robust mixed \({H}_2\) / \({H}_\infty \) fuzzy tracking control for hypersonic vehicles. Fuzzy Sets and Systems 306, 118–136 (2017)
Xiao, B., Hu, Q., Zhang, Y.: Adaptive sliding mode fault tolerant attitude tracking control for flexible spacecraft under actuator saturation. IEEE Transactions on Control Systems Technology 20(6), 1605–1612 (2011)
Zhang, Y., Jiang, J.: Bibliographical review on reconfigurable fault-tolerant control systems. Annual reviews in control 32(2), 229–252 (2008)
Acknowledgement
The work was supported by the National Science Centre, Poland under Grant: UMO-2017/27/B/ST7/00620.
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Kukurowski, N., Pazera, M., Witczak, M., López-Estrada, FR., Bravo Cruz, T.I. (2020). Fault-Tolerant Tracking Control for Takagi–Sugeno Fuzzy Systems Under Actuator and Sensor Faults. In: Bartoszewicz, A., Kabziński, J., Kacprzyk, J. (eds) Advanced, Contemporary Control. Advances in Intelligent Systems and Computing, vol 1196. Springer, Cham. https://doi.org/10.1007/978-3-030-50936-1_119
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DOI: https://doi.org/10.1007/978-3-030-50936-1_119
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