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Robust model predictive control for fractional-order descriptor systems with uncertainty. (English) Zbl 1537.93197

MSC:

93B45 Model predictive control
26A33 Fractional derivatives and integrals
15A39 Linear inequalities of matrices
Full Text: DOI

References:

[1] Arbi, A., Controllability of delayed discret Fornasini-Marchesini model via quantization and random packet dropouts, Mathematical Modelling of Natural Phenomena, 17, 38, 1-15 (2022) · Zbl 1515.93032
[2] Arbi, A.; Cao, J.; Alsaedi, A., Improved synchronization analysis of competitive neural networks with time-varying delays, Nonlinear Analysis: Modelling and Control, 23, 1, 82-107 (2018) · Zbl 1416.93167 · doi:10.15388/NA.2018.1.7
[3] Li, X.; Yang, X.; Huang, T., Persistence of delayed cooperative models: Impulsive control method, Applied Mathematics and Computation, 342, 130-146 (2019) · Zbl 1428.34113 · doi:10.1016/j.amc.2018.09.003
[4] Yang, D.; Li, X.; Qiu, J., Output tracking control of delayed switched systems via state-dependent switching and dynamic output feedback, Nonlinear Analysis: Hybrid Systems, 32, 294-305 (2019) · Zbl 1425.93149
[5] Sopasakis, P.; Sarimveis, H., Stabilising model predictive control for discrete-time fractional-order systems, Automatica, 75, 24-31 (2017) · Zbl 1351.93056 · doi:10.1016/j.automatica.2016.09.014
[6] Sabir, Z.; Raja, MAZ; Guirao, JL; Shoaib, M., A novel design of fractional Meyer wavelet neural networks with application to the nonlinear singular fractional Lane-Emden systems, Alexandria Engineering Journal, 60, 2, 2641-2659 (2021) · doi:10.1016/j.aej.2021.01.004
[7] Djennoune, S.; Bettayeb, M., Optimal synergetic control for fractional-order systems, Automatica, 49, 7, 2243-2249 (2013) · Zbl 1364.93184 · doi:10.1016/j.automatica.2013.04.007
[8] Rabah, K., Ladaci, S.: A fractional adaptive sliding mode control configuration for synchronizing disturbed fractional-Order chaotic systems. Circuits Systems and Signal Processing 39(7), (2019)
[9] Rhouma, A.; Bouani, F.; Bouzouita, B., Model predictive control of fractional order systems, J Comput Nonlinear Dyn, 9, 3, 0310111-310117 (2014)
[10] Zhang, LQ; Huang, B., Robust model predictive control of singular systems, IEEE Transactions on Automatic Control, 49, 6, 1000-1006 (2004) · Zbl 1365.93181 · doi:10.1109/TAC.2004.829634
[11] Moubarak, MRA; Ahmed, HF; Khorshi, O., Numerical solution of the optimal control for fractional order singular systems, Differential Equations & Dynamical Systems, 26, 27, 279-291 (2016) · Zbl 1384.49029
[12] Meng, B.; Wang, XH; Wang, Z., Synthesis of sliding mode control for a class of uncertain singular fractional-order systems based restricted equivalent, IEEE Access, 4, 99, 1-7 (2019)
[13] Liu, XH; Yang, YH, Observer-based robust predictive control of singular systems with time-delay and parameter uncertainties, Journal of Systems Engineering & Electronics, 20, 3, 590-597 (2009) · Zbl 1266.93064
[14] Rhouma, A.; Bouani, F., Robust model predictive control of uncertain fractional systems: a thermal application, Iet Control Theory & Applications, 8, 17, 1986-1994 (2014) · doi:10.1049/iet-cta.2014.0703
[15] N’Doye, I.; Darouach, M.; Zasadzinski, M., Robust stabilization of uncertain descriptor fractional-order systems, Automatica, 49, 6, 1907-1913 (2013) · Zbl 1360.93620 · doi:10.1016/j.automatica.2013.02.066
[16] N’Doye, I.: Regularization and robust stabilization of uncertain singular fractional-order systems. Proc.of the 18th World Congress, 15031-15036 (2011)
[17] Feng, T.; Liu, L.; Wu, B., Finite-time stability and stabilization of fractional-order switched singular continuous-time systems, Circuits, Systems, and Signal Processing, 38, 12, 5528-5548 (2019) · doi:10.1007/s00034-019-01159-1
[18] Zhang, X.; Zhao, Z.; Li, L., An alternative admissibility theorem for singular fractional order systems, IEEE Access, 7, 126005-126013 (2019) · doi:10.1109/ACCESS.2019.2938587
[19] Marir, S.; Chadli, M.; Bouagada, D., New admissibility conditions for singular linear continuous-time fractional-order systems, Journal of the Franklin Institute, 354, 2, 752-766 (2017) · Zbl 1355.93039 · doi:10.1016/j.jfranklin.2016.10.022
[20] Zhang, X., Comments on sufficient and necessary condition of admissibility for fractional-order singular systems, IEEE/CAA Journal of Automatica Sinica, 46, 5, 1061-1062 (2020)
[21] Wang, Q.; Qi, DL, Synchronization for fractional order chaotic systems with uncertain parameters, International Journal of Control, Automation and Systems, 14, 11, 211-216 (2016) · doi:10.1007/s12555-014-0275-1
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