Abstract
The adaptive interval type-2 (IT2) fuzzy event-triggered saturation control scheme is proposed for a photovoltaic power system with unknown equivalent resistances and the disturbance of the power grid voltage. As the equivalent resistors and the disturbance are uncertain, interval type-2 fuzzy logic systems (IT2FLSs) are used to handle the uncertain nonlinear dynamics. Based on backstepping control design and command filtered techniques, by considering the limited communication resources of the system, an event-triggered saturation controller is designed, and the constraint conditions of the control signal are guaranteed. According to the Lyapunov theory, it is ensured that all the variables of the closed-loop photovoltaic system are bounded. The simulation results demonstrate the effectiveness and superiority of the presented control method.
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Castillo, O., Amador-Angulo, L.: A generalized type-2 fuzzy logic approach for dynamic parameter adaptation in bee colony optimization applied to fuzzy controller design. Inf. Sci. 460–461, 476–496 (2018)
Chen, Y., Tan, R., Zheng, Y., Zhou, Z.: Sliding-mode control with multipower approaching law for DC-link voltage of Z-source photovoltaic inverters. IEEE Access 7, 133812–133821 (2019)
Dian, S., Han, J., Guo, R., Li, S., Wu, Q.: Double closed-loop general type-2 fuzzy sliding model control for trajectory tracking of wheeled mobile robots. Int. J. Fuzzy Syst. 21, 2032–2042 (2019)
Dong, W., Farrell, J.A., Polycarpou, M.M., Djapic, V., Sharma, M.: Command filtered adaptive backstepping. IEEE Trans. Control Syst. Technol. 20(3), 566–580 (2012)
Hannan, M.A., Ghani, Z.A., Hoque, M.M., Ker, P.J., Hussain, A., Mohamed, A.: Fuzzy logic inverter controller in photovoltaic applications: issues and recommendations. IEEE Access 7, 24934–24955 (2019)
He, J., Zhang, X.: Comparison of the back-stepping and PID control of the three-phase inverter with fully consideration of implementation cost and performance. Chin. J. Electr. Eng. 4(2), 82–89 (2018)
Karnik, N.N., Mendel, J.M., Liang, Q.: Type-2 fuzzy logic systems. IEEE Trans. Fuzzy Syst. 7(6), 643–658 (1999)
Li, C., Zhou, C., Peng, W., Lv, Y., Luo, X.: Accurate prediction of short-term photovoltaic power generation via a novel double-input-rule-modules stacked deep fuzzy method. Energy 212, 118700 (2020)
Li, H., Wang, J., Wu, L., Lam, H., Gao, Y.: Optimal guaranteed cost sliding-mode control of interval type-2 fuzzy time-delay systems. Trans. Fuzzy Syst. 26(1), 246–257 (2018)
Li, R., Hu, Y., Liang, Q.: T2F-LSTM method for long-term traffic volume prediction. IEEE Trans. Fuzzy Syst. (2020). https://doi.org/10.1109/tfuzz.2020.2986995
Li, Y., Tong, S.: Command-filtered-based fuzzy adaptive control design for MIMO-switched nonstrict-feedback nonlinear systems. IEEE Trans. Fuzzy Syst. 25(3), 668–681 (2017)
Liang, Q., Mendel, J.M.: Equalization of nonlinear time-varying channels using type-2 fuzzy adaptive filters. IEEE Trans. Fuzzy Syst. 8(5), 551–563 (2000)
Mahmud, N., Zahedi, A., Mahmud, A.: A cooperative operation of novel PV inverter control scheme and storage energy management system based on ANFIS for voltage regulation of grid-tied PV system. IEEE Trans. Ind. Inf. 13(5), 2657–2668 (2017)
Martin, A.D., Cano, J.M., Medina-Garca, J., Gmez-Galn, J.A., Vazquez, J.R.: Centralized MPPT controller system of PV modules by a wireless sensor network. IEEE Access 8, 71694–71707 (2020)
Mendel, J.M., John, R.I., Liu, F.: Interval type-2 fuzzy logic systems made simple. IEEE Trans. Fuzzy Syst. 14(6), 808–821 (2006)
Mendel, J.M., Liu, X.: Simplified interval type-2 fuzzy logic systems. IEEE Trans. Fuzzy Syst. 21(6), 1056–1069 (2013)
Merabet, A., Labib, L., Ghias, A.M.Y.M., Ghenai, C., Salameh, T.: Robust feedback linearizing control with sliding mode compensation for a grid-connected photovoltaic inverter system under unbalanced grid voltages. IEEE J. Photovolt. 7(3), 828–838 (2017)
Mittal, K., Jain, A., Vaisla, K.S., Castillo, O., Kacprzyk, J.: A comprehensive review on type 2 fuzzy logic applications: past, present and future. Eng. Appl. Artif. Intell. 95, 103916 (2020)
Mo, H., Yan, K., Zhao, X., Zeng, Y., Wang, X., Wang, F.: Type-2 fuzzy comprehension evaluation for tourist attractive competency. IEEE Trans. Comput. Soc. Syst. 6(1), 96–102 (2019)
Mo, H., Zhao, X., Wang, F.Y.: Application of interval type-2 fuzzy sets in unmanned vehicle visual guidance. Int. J. Fuzzy Syst. 21, 1661–1668 (2019)
Mosalam, H.A., Amer, R.A., Morsy, G.A.: Fuzzy logic control for a grid-connected PV array through Z-source-inverter using maximum constant boost control method. Ain Shams Eng. J. 9, 2931–2941 (2018)
Muhuri, P.K., Ashraf, Z., Lohani, Q.M.D.: Multiobjective reliability redundancy allocation problem with interval type-2 fuzzy uncertainty. IEEE Trans. Fuzzy Syst. 26(3), 1339–1355 (2018)
Naik N.V., Singh, S.P.: A novel interval type-2 fuzzy-based direct torque control of induction motor drive using five-level diode-clamped inverter. IEEE Trans. Ind. Electron. 68(1), 149–159 (2021)
Naik N.V., Singh, S.P., Panda, A.K.: An interval type-2 fuzzy-based DTC of IMD using hybrid duty ratio control. IEEE Trans. Power Electron. 35(8), 8443–8451 (2020)
Panda, A.: Interval type-2 fuzzy based photovoltaic distributed generation system with enhanced power quality feature. IETE J. Res. 66, 1–14 (2019)
Peng, W., Li, C., Zhang, G., Yi, J.: Interval type-2 fuzzy logic based transmission power allocation strategy for lifetime maximization of WSNs. Eng. Appl. Artif. Intell. 87, 103269– (2020)
Priyadarshi, N., Padmanaban, S., Bhaskar, M.S., Blaabjerg, F., Sharma, A.: A fuzzy SVPWM based inverter control realization of grid integrated PV-wind system with FPSO MPPT algorithm for a grid-connected PV/wind power generation system: hardware implementation. IET Electr. Power Appl. 12(7), 962–971 (2018)
Selvaraj, J., Rahim, N.A.: Multilevel inverter for grid-connected PV system employing digital PI controller. IEEE Trans. Ind. Electron. 56(1), 149–158 (2009)
Shukla, A.K., Banshal, S.K., Seth, T., Basu, A., John, R., Muhuri, P.K.: A bibliometric overview of the field of type-2 fuzzy sets and systems. IEEE Comput. Intell. Mag. 15(1), 89–98 (2020)
Tao, X., Yi, J., Pu, Z., Xiong, T.: Robust adaptive tracking control for hypersonic vehicle based on interval type-2 fuzzy logic system and small-gain approach. IEEE Trans. Cybernetics pp. 1–14 (2019)
Wang, L., Karimi, H.R., Gu, J.: Stability analysis for interval type-2 fuzzy systems by applying homogenous polynomially membership functions dependent matrices and switching technique. IEEE Trans. Fuzzy Syst. (2020). http://doi.org/10.1109/tfuzz.2020.3018175
Wang, T., Tong, S., Yi, J., Li, H.: Adaptive inverse control of cable-driven parallel system based on type-2 fuzzy logic systems. IEEE Trans. Fuzzy Syst. 23(5), 1803–1816 (2015)
Weng, S., Yue, D., Shi, J.: Distributed cooperative control for multiple photovoltaic generators in distribution power system under event-triggered mechanism. J. Franklin Inst. 353, 3407–3427 (2016)
Wu, D., Mendel, J.M.: Enhanced Karnik-Mendel algorithms. IEEE Trans. Fuzzy Syst. 17(4), 923–934 (2009)
Wu, D., Mendel, J.M.: Similarity measures for closed general type-2 fuzzy sets: overview, comparisons, and a geometric approach. IEEE Trans. Fuzzy Syst. 27(3), 515–526 (2019)
Yang, S., Lei, Q., Peng, F.Z., Qian, Z.: A robust control scheme for grid-connected voltage-source inverters. IEEE Trans. Ind. Electron. 58(1), 202–212 (2011)
Yang, T., Cai, Z., Xun, Q.: Adaptive backstepping-based \({H_{\infty }}\) robust controller for photovoltaic grid-connected inverter. IEEE Access 8, 17263–17272 (2020)
Zadeh, L.: The concept of a linguistic variable and its application to approximate reasoning-I. Inf. Sci. 8(3), 199–249 (1975)
Zhao, T., Yu, Q., Dian, S., Guo, R., Li, S.: Non-singleton general type-2 fuzzy control for a two-wheeled self-balancing robot. Int. J. Fuzzy Syst. 21, 1724–1737 (2019)
Zhong, Z.: Tracking synchronization for DC microgrid with multiple-photovoltaic arrays: an event-based fuzzy control scheme. IEEE Access 6, 24996–25006 (2018)
Zhong, Z., Zhu, Y., Lam, H.: Asynchronous piecewise output-feedback control for large-scale fuzzy systems via distributed event-triggering schemes. IEEE Trans. Fuzzy Syst. 26(3), 1688–1703 (2018)
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This work was supported in part by the National Natural Science Foundation of China under Grant No. 61822307 and Shandong Key Laboratory of Intelligent Buildings Technology (Grant No. 2019019).
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Wang, T., Zhang, X. & Li, Y. Type-2 Fuzzy Adaptive Event-Triggered Saturation Control for Photovoltaic Grid-Connected Power Systems. Int. J. Fuzzy Syst. 23, 1150–1162 (2021). https://doi.org/10.1007/s40815-021-01078-x
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DOI: https://doi.org/10.1007/s40815-021-01078-x