×

States estimation and resilient control for non-Gaussian stochastic distribution control system under sensor attacks. (English) Zbl 1532.93083

Summary: This paper studies states estimation and resilient control schemes based on model predictive control (MPC) algorithm for a class of Takagi-Sugeno (T-S) fuzzy stochastic distribution control (SDC) system subjected to sparse sensor attacks. Firstly, a T-S fuzzy model is used to approximate the dynamics of a non-Gaussian SDC system, where the outputs of the system is the output probability density functions (PDFs). Secondly, in order to estimate the states and attacks in the system, a fuzzy Luenberger observer is designed. In addition, based on the estimated states and attacks, the designed MPC resilient control method achieves a satisfied tracking performance. Finally, the feasibility of the estimation algorithm and resilient controller are verified by simulation.

MSC:

93B45 Model predictive control
93B35 Sensitivity (robustness)
93C42 Fuzzy control/observation systems
Full Text: DOI

References:

[1] Ding, D.; Han, Q. L.; Ge, X.; Wang, J., Secure state estimation and control of cyber-physical systems: A survey. IEEE Trans. Syst. Man Cybern.: Syst., 1, 176-190 (2021)
[2] Lu, A.-Y.; Yang, G.-H., Secure state estimation under sparse sensor attacks via saturating adaptive technique. IEEE Trans. Control Netw. Syst., 8, 1-9 (2023)
[3] Liu, X.; Jiang, R.; Chen, B.; Ge, S. S., Secure dynamic state estimation with a decomposing Kalman filter, 149-168
[4] Lu, A.; Yang, G., Secure switched observers for cyber-physical systems under sparse sensor attacks: A set cover approach. IEEE Trans. Autom. Control, 1 (2019) · Zbl 1482.93092
[5] Farjadian, A. B.; Thomsen, B.; Annaswamy, A. M.; Woods, D. D., Resilient flight control: An architecture for human supervision of automation. IEEE Trans. Control Syst. Technol., 1, 29-42 (2021)
[6] Dehkordi, N. M.; Moussavi, S. Z., Distributed resilient adaptive control of islanded microgrids under sensor/actuator faults. IEEE Trans. Smart Grid, 3, 2699-2708 (2020)
[7] Zhao, Y.; Du, X.; Zhou, C.; Tian, Y.-C.; Hu, X.; Quevedo, D. E., Adaptive resilient control of cyber-physical systems under actuator and sensor attacks. IEEE Trans. Ind. Inform., 5, 3203-3212 (2022)
[8] Guo, L.; Wang, H., Fault detection and diagnosis for general stochastic systems using B-spline expansions and nonlinear filters. IEEE Trans. Circuits Syst., 8, 1644-1652 (2005) · Zbl 1374.94963
[9] Ren, Y.; Fang, Y.; Wang, A.; Zhang, H.; Wang, H., Collaborative operational fault tolerant control for stochastic distribution control system. Automatica, 141-149 (2018) · Zbl 1406.93307
[10] Wang, H.; kang, Y.; Yao, L.; Wang, H.; Gao, Z., Fault diagnosis and fault tolerant control for T-S fuzzy stochastic distribution systems subject to sensor and actuator faults. IEEE Trans. Fuzzy Syst., 11, 3561-3569 (2021)
[11] Yao, L.; Zhang, Y., Fault isolation and estimation for non-Gaussian stochastic distribution control systems based on T-S fuzzy model, 6980-6985
[12] Lei, C.; Chen, S.; Yao, L., Fault diagnosis and model reference tracking fault-tolerant control for the non-Gaussian nonlinear stochastic distribution control system using Takagi-Sugeno fuzzy model, 1746-1751
[13] Singhal, K.; Kumar, V.; Rana, K., Robust trajectory tracking control of non-holonomic wheeled mobile robots using an adaptive fractional order parallel fuzzy PID controller. J. Franklin Inst. B, 9, 4160-4215 (2022) · Zbl 1491.93068
[14] Kurokawa, R.; Sato, T.; Vilanova, R.; Konishi, Y., Design of optimal PID control with a sensitivity function for resonance phenomenon-involved second-order plus dead-time system. J. Franklin Inst. B, 7, 4187-4211 (2020) · Zbl 1437.93049
[15] Azhmyakov, V.; Verriest, E. I.; Bonilla, M.; Pickl, S., Optimal control methodology for the counter-terrorism strategies: The relaxation based approach. J. Franklin Inst. B, 13, 6690-6708 (2022) · Zbl 1496.91042
[16] Cakici, F.; Yazici, H.; Ahmet, D., Optimal control design for reducing vertical acceleration of a motor yacht form. Ocean Eng., 636-650 (2018)
[17] Shan, Y.; Pan, A.; Liu, H., A switching event-triggered resilient control scheme for primary and secondary levels in AC microgrids. ISA Trans., 216-228 (2022)
[18] Visakamoorthi, B.; Yu, S. S.; Subramanian, K.; Muthukumar, P.; Chadli, M.; Trinh, H., Practical consensus for heterogeneous multi-agent systems with gain fluctuations via resilient sampled-data control. Eur. J. Control (2023) · Zbl 1516.93244
[19] Jin, X.; Lü, S.; Deng, C.; Chadli, M., Distributed adaptive security consensus control for a class of multi-agent systems under network decay and intermittent attacks. Inform. Sci., 88-102 (2021) · Zbl 1478.93629
[20] Balcazar, R.; Rubio, J.; Orozco, E.; Cordova, D. A.; Ochoa, G.; Garcia, E.; Pacheco, J.; Gutierrez, G. J.; Mujica-Vargas, D.; Aguilar-Ibaez, C., The regulation of an electric oven and an inverted pendulum. Symmetry, 4, 759 (2022)
[21] Huang, K.; Ma, C.; Li, C.; Chen, Y.-H., High-order robust control and stackelberg game-based optimization for uncertain fuzzy PMSM system with inequality constraints. ISA Trans., 451-459 (2023)
[22] Li, F.; Li, H.; He, Y., Stochastic model predictive control for linear systems with unbounded additive uncertainties. J. Franklin Inst. B, 7, 3024-3045 (2022) · Zbl 1489.93026
[23] Veksler, A.; Borrelli, F.; Realfsen, B., Dynamic positioning with model predictive control. IEEE Trans. Control Syst. Technol.: Publ. IEEE Control Syst. Soc., 4, 1340-1353 (2016)
[24] Yu, J.; Nan, L.; Tang, X.; Wang, P., Model predictive control of non-linear systems over networks with data quantization and packet loss. ISA Trans., 1-9 (2015)
[25] Li, L.; Yao, L.; Wang, H., Model predictive fault-tolerant tracking control for PDF control systems with packet losses. IEEE Trans. Syst. Man Cybern.:Syst., 8, 4751-4761 (2022)
[26] Mohammadkhani, M.; Bayat, F.; Jalali, A., Robust output feedback model predictive control: A stochastic approach. Asian J. Control, 6, 2085-2096 (2017) · Zbl 1386.93313
[27] Farina, M.; Giulioni, L.; Magni, L.; Scattolini, R., An MPC approach to output-feedback control of stochastic linear discrete-time systems. Asian J. Control (2014)
[28] Wu, F. X.; Shi, Z.; Dai, G., On robust stability of dynamic interval systems. Kongzhi Lilun Yu Yinyong/Control Theory Appl., 1, 113-115 (2001) · Zbl 0995.93057
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.