Abstract
This paper is concerned with the problem of tracking control of three-phase pulsewidth-modulation rectifiers under random disturbances. According to power theory, the effect of random disturbances to three-phase rectifiers is interpreted from the perspective of output voltage or reactive power disturbed by colored noises. Thus, a random model of three-phase pulsewidth-modulation rectifiers in a d–q frame is constructed. Then, to deal with the uncertainties of parameters and unknown nonlinear functions, a radial basis function neural networks approach in combination with adaptive technique is applied to design an event-triggered state feedback tracking controller. By using random Lyapunov stable theory, it is proven that the states of the closed-loop system are bounded in probability and the tracking error can be rendered arbitrarily small by adjusting related parameters appropriately. Moreover, the Zeno behavior is excluded. Finally, simulation results are proposed to verify the validity of the proposed control strategy.
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References
Wai, R., Yang, Y.: Design of back stepping direct power control for three-phase PWM rectifier. IEEE Trans. Ind. Appl. 55(3), 3160–3173 (2019)
Portillo, R., Vazquez, S., Leon, J.I., Prats, M.M., Franquelo, L.G.: Model based adaptive direct power control for three-level NPC converters. IEEE Trans. Ind. Inf. 9(2), 1148–1157 (2013)
Liu, J., Yin, Y., Luo, W., Vazquez, S., Franquelo, L.G., Wu, L.: Sliding mode control of a three-phase AC/DC voltage source converter under unknown load conditions: industry applications. IEEE Trans. Syst. Man Cybern. Part A Syst. Hum. 48(10), 1771–1780 (2018)
Su, Y., Ge, X., Xie, D., Wang, K.: An active disturbance rejection control-based voltage control strategy of single-phase cascaded H-bridge rectifiers. IEEE Trans. Ind. Appl. 56(5), 5182–5193 (2020)
Sun, L., Zheng, Z.: Nonlinear adaptive trajectory tracking control for a stratospheric airship with parametric uncertainty. Nonlinear Dyn. 82(3), 1419–1430 (2015)
Shi, K., Wang, J., Zhong, S.: Non-fragile memory filtering of TS fuzzy delayed neural networks based on switched fuzzy sampled-data control. Fuzzy Sets Syst. 394, 40–64 (2020)
Wang, Y., Zhu, B., Zhang, H.: Functional observer-based finite-time adaptive ISMC for continuous systems with unknown nonlinear function. Automatica 125, 109468 (2021)
Chen, Y., Zhang, D., Zhang, W.: MSWR-LRCN: a new deep learning approach to remaining useful life estimation of bearings. Control Eng. Pract. 118, 104969 (2022)
Shen, H., Hu, X., Wang, J., Cao, J., Qian, W.: Non-fragile \(H_{\infty }\) synchronization for Markov jump singularly perturbed coupled neural networks subject to double-layer switching regulation. IEEE Trans. Neural Netw. Learn. Syst. (2021). https://doi.org/10.1109/TNNLS.2021.3107607
Qiu, X., Wang, Y., Zhang, H., Xie, X.: Resilient model free adaptive distributed LFC for multi-area power systems against jamming attacks. IEEE Trans. Neural Netw. Learn. Syst. (2021). https://doi.org/10.1109/TNNLS.2021.3123235
Liu, S., Liu, Y., Liang, X., Wang, N.: Uncertainty observation-based adaptive succinct fuzzy-neuro dynamic surface control for trajectory tracking of fully actuated underwater vehicle system with input saturation. Nonlinear Dyn. 98(3), 1683–1699 (2019)
Mani, P., Rajan, R., Shanmugam, L., Joo, Y.H.: Adaptive fractional fuzzy integral sliding mode control for PMSM model. IEEE Trans. Fuzzy Syst. 27(8), 1674–1686 (2019)
Fu, C., Zhang, G., Zhang, C.: Finite-time adaptive neural backstepping control for three-phase AC/DC converters under uncertain disturbances. In: IPEMC2020-ECCE Asia, pp. 1784–1788 (2020)
Song, J., Fu, C., Zhang, G., Duan, B., Zhang, C.: Backstepping control of high-frequency link matrix rectifier for battery chargers. IEEE Trans. Power Electron. 36(9), 10801–10814 (2021)
Wang, H., Shi, P., Li, H., Zhou, Q.: Adaptive neural tracking control for a class of nonlinear systems with dynamic uncertainties. IEEE Trans. Cybern. 47(10), 3075–3087 (2017)
Wang, N., Joo Er, M.: Self-constructing adaptive robust fuzzy neural tracking control of surface vehicles with uncertainties and unknown disturbances. IEEE Trans. Control Syst. Technol. 23(3), 91–1002 (2015)
Cui, M.Y., Wu, Z.J., Xie, X.J., Shi, P.: Modeling and adaptive tracking for a class of stochastic Lagrangian control systems. Automatica 49(3), 770–779 (2013)
Cui, M.Y., Wu, Z.J., Xie, X.J.: Output feedback tracking control of stochastic Lagrangian systems and its application. Automatica 50(5), 1424–1433 (2014)
Cui, M.Y., Wu, Z.J.: Trajectory tracking of flexible joint manipulators actuated by DC-motors under random disturbances. J. Frank. Inst. 356(16), 9330–9343 (2019)
Jiao, T., Zheng, W.X., Xu, S.: On stability of a class of switched nonlinear systems subject to random disturbances. IEEE Trans. Circuits Syst. Regul. Pap. 63(12), 2278–2289 (2016)
Yao, L., Zhang, W., Xie, X.: Stability analysis of random nonlinear systems with time-varying delay and its application. Automatica 117, 108994 (2020)
Feng, L., Zhang, W., Yang, Z., Park, J.: Further stability results for random nonlinear systems with stochastic impulses. J. Frank. Inst. 358(10), 5426–5450 (2021)
Labbadi, M., Cherkaoui, M.: Adaptive fractional-order nonsingular fast terminal sliding mode based robust tracking control of quadrotor UAV with gaussian random disturbances and uncertainties. IEEE Trans. Aerosp. Electron. Syst. 57(4), 2265–2277 (2021)
Zhang, H., Liang, Y., Su, H., Liu, C.: Event-driven guaranteed cost control design for nonlinear systems with actuator faults via reinforcement learning algorithm. IEEE Trans. Syst. Man Cybern. Part A Syst. Hum. 50(11), 4135–4150 (2020)
Wang, W., Long, J., Zhou, J., Huang, J.S., Wen, C.Y.: Adaptive backstepping based consensus tracking of uncertain nonlinear systems with event-triggered communication. Automatica 133, 109841 (2021)
Chen, Y., Zhang, D., Zhang, H.: Dual-path mixed domain residual threshold networks for bearing fault diagnosis. IEEE Trans. Ind. Electron. (2022). https://doi.org/10.1109/TIE.2022.3144572
Zhang, D., Wang, Q.G., Feng, G.: A survey on attack detection, estimation and control of industrial cyber-physical systems. ISA Trans. 116, 1–16 (2021)
Heemels, W.P.M.H., Donkers, M.C.F., Teel, A.R.: Periodic event-triggered control for linear systems. IEEE Trans. Autom. Control 58(4), 847–861 (2013)
Xing, L., Wen, C., Liu, Z., Su, H., Cai, J.: Event-triggered adaptive control for a class of uncertain nonlinear systems. IEEE Trans. Autom. Control 62(4), 2071–2076 (2017)
Ye, Z., Zhang, D., Wu, Z.G.: A3c-based intelligent event-triggering control of networked nonlinear unmanned marine vehicles subject to hybrid attacks. IEEE Trans. Intell. Transp. Syst. (2021). https://doi.org/10.1109/TITS.2021.3118648
Yang, J., Zhong, Q., Shi, K.: Co-design of observer-based fault detection filter and dynamic event-triggered controller for wind power system under dual alterable DoS attacks. IEEE Trans. Inf. Forensics Secur. 17, 1270–1284 (2022)
Zhong, Q., Yang, J., Shi, K.: Event-triggered \(H_ {\infty }\) load frequency control for multi-area nonlinear power systems based on non-fragile proportional integral control strategy. IEEE Trans. Intell. Transp. Syst. (2021). https://doi.org/10.1109/TITS.2021.3110759
Zhang, R.Y., Wu, L.B., Zhao, N.N., Yan, Y.: Adaptive event-triggered fuzzy tracking control of uncertain stochastic nonlinear systems with unmeasurable states. IEEE Trans. Fuzzy Syst. (2021). https://doi.org/10.1109/TFUZZ.2021.3078112
Heemels, W.P.M.H., Donkers, M.C.F., Teel, A.R.: Periodic event-triggered control for linear systems. IEEE Trans. Autom. Control 58(4), 847–861 (2013)
Zhang, H., Xi, R., Wang, Y., Sun, S., Sun, J.: Event-triggered adaptive tracking control for random systems with coexisting parametric uncertainties and severe nonlinearities. IEEE Trans. Autom. Control. (2021). https://doi.org/10.1109/TAC.2021.3079279
Kazmierkowski, M.P., Jasinski, M., Wrona, G.: DSP-based control of grid-connected power converters operating under grid distortions. IEEE Trans. Ind. Inf. 7(2), 204–211 (2011)
Fu, C., Zhang, C., Zhang, G., Song, J., Zhang, C., Duan, B.: Disturbance observer-based finite-time control for three-phase AC/DC converter. IEEE Trans. Ind. Electron. (2021). https://doi.org/10.1109/TIE.2021.3088358
Mahmud, M.A., Hossain, M.J., Pota, H.R., Roy, N.K.: Robust nonlinear controller design for three-phase grid-connected photovoltaic systems under structured uncertainties. IEEE Trans. Power Deliv. 29(3), 1221–1230 (2014)
Djeziri, M.A., Merzouki, R., Bouamama, B.O.: Robust monitoring of an electric vehicle with structured and unstructured uncertainties. IEEE Trans. Veh. Technol. 58(9), 4710–4719 (2009)
Girosi, F., Poggio, T.: Networks and the best approximation property. Biol. Cybern. 63(3), 169–176 (1990)
Tong, S., Wang, T., Li, Y.: Fuzzy adaptive actuator failure compensation control of uncertain stochastic nonlinear systems with unmodeled dynamics. IEEE Trans. Fuzzy Syst. 22(3), 563–574 (2014)
Wu, Z.J.: Stability criteria of random nonlinear systems and their applications. IEEE Trans. Autom. Control 60(4), 1038–1049 (2014)
Acknowledgements
This work was supported in part by NSFC of China under Grant 62073200; in part by the Project funded by China Postdoctoral Science Foundation under Grant 2019M652351; in part by the Post-doctoral Innovation Project of Shandong Province; in part by the Youth Innovation Team Development Plan of Colleges and Universities in Shandong Province (Talents Attracting and Cultivating). This work of J.H. Park was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (Ministry of Science and ICT) (No. 2019R1A5A8080290).
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Zhao, Y., Jiao, T., Park, J.H. et al. Event-triggered adaptive NNs tracking control of three-phase PWM rectifiers under random disturbances. Nonlinear Dyn 111, 303–317 (2023). https://doi.org/10.1007/s11071-022-07828-2
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DOI: https://doi.org/10.1007/s11071-022-07828-2