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Type-2 Fuzzy Adaptive Output Feedback Saturation Control for Photovoltaic Grid-connected Power Systems

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  • Control Theory and Applications
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Abstract

The adaptive interval type-2 (IT2) fuzzy output feedback control problem is studied for a single-phase photovoltaic grid-connected power system. The equivalent resistors of the inductors in the system are unknown and the part states are not available. Interval type-2 fuzzy logic systems (IT2FLSs) are utilized to approximate the uncertain nonlinear dynamics, and an IT2 fuzzy state observer is designed to estimate the unavailable states. By introducing a command filter method and using a backstepping control design technique, an IT2 fuzzy output feedback control scheme is investigated, in which the constraint conditions of pulse width modulation are ensured via mean-value theorem. It is proved that all the variables of the closed-loop photovoltaic system are uniformly ultimately bounded. The simulation and comparison results demonstrate the validity of the proposed control scheme.

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References

  1. F. Dincer, “The analysis on photovoltaic electricity generation status, potential and policies of the leading countries in solar energy,” Renewable and Sustainable Energy Reviews, vol. 15, no. 1, pp. 713–720, January 2011.

    Article  Google Scholar 

  2. M. B. Satti and A. Hasan, “Direct model predictive control of novel H-bridge multilevel inverter based grid-connected photovoltaic system,” IEEE Access, pp. 62750–62758, May 2019.

    Google Scholar 

  3. S. Foti, S. de Caro, G. Scelba, T. Scimone, A. Testa, M. Cacciato, and G. Scarcella, “An optimal current control strategy for asymmetrical hybrid multilevel inverters,” IEEE Transactions on Industry Applications, vol. 54, no. 5, pp. 4425–4436, September-October 2018.

    Article  Google Scholar 

  4. H. Komurcugil, “Steady-state analysis and passivity-based control of single-phase PWM current-source inverters,” IEEE Transactions on Industrial Electronics, vol. 57, no. 3, pp. 1026–1030, March 2010.

    Article  Google Scholar 

  5. X. Quan, Z. Wu, X. Dou, M. Hu, and A. Q. Huang, “Load current decoupling based LQ control for three-phase inverter,” IEEE Transactions on Power Electronics, vol. 33, no. 6, pp. 5476–5491, June 2018.

    Article  Google Scholar 

  6. L. Zheng, F. Jiang, J. Song, Y. Gao, and M. Tian, “A discrete-time repetitive sliding mode control for voltage source inverters,” IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 6, no. 3, pp. 1553–1566, September 2018.

    Article  Google Scholar 

  7. H. Li, J. Wang, H. Du, and H. R. Karimi, “Adaptive sliding mode control for Takagi-Sugeno fuzzy systems and its applications,” IEEE Transactions on Fuzzy Systems, vol. 26, no. 2, pp. 531–542, April 2018.

    Article  Google Scholar 

  8. Y. Pan, P. Du, H. Xue and H. Lam, “Singularity-free fixed-time fuzzy control for robotic systems with user-defined performance,” IEEE Transactions on Fuzzy Systems, June 2020. DOI: https://doi.org/10.1109/TFUZZ.2020.2999746

    Google Scholar 

  9. H. Li, Y. Wang, D. Yao, and R. Lu, “A sliding mode approach to stabilization of nonlinear Markovian jump singularly perturbed systems,” Automatica, vol. 97, pp. 404–413, November 2018.

    Article  MathSciNet  Google Scholar 

  10. H. Liang, G. Liu, H. Zhang, and T. Huang, “Neural-network-based event-triggered adaptive control of non-affine nonlinear multiagent systems with dynamic uncertainties,” IEEE Transactions on Neural Networks and Learning Systems, vol. 32, no. 5, pp. 2239–2250, 2021.

    Article  Google Scholar 

  11. H. Ma, H. Li, R. Lu, and T. Huang, “Adaptive event-triggered control for a class of nonlinear systems with periodic disturbances,” Science China. Information Sciences, vol. 63, no. 5, Article number 150212, 2020.

    Google Scholar 

  12. W. Bai, T. Li, and S. Tong, “NN reinforcement learning adaptive control for a class of nonstrict-feedback discretetime systems,” IEEE Transactions on Cybernetics, vol. 50, no. 11, pp. 4573–4584, November 2020.

    Article  Google Scholar 

  13. H. Liang, G. Liu, T. Huang, H. K. Lam, and B. Wang, “Cooperative fault-tolerant control for networks of stochastic nonlinear systems with non-differential saturation nonlinearity,” IEEE Transactions on Systems, Man, and Cybernetics: Systems, September 2020. DOI: https://doi.org/10.1109/TSMC.2020.3020188

    Google Scholar 

  14. M. A. Hannan, Z. A. Ghani, M. M. Hoque, P. J. Ker, A. Hussain, and A. Mohamed, “Fuzzy logic inverter controller in photovoltaic applications: issues and recommendations,” IEEE Access, vol. 7, no. 3, pp. 24934–24955, February 2019.

    Article  Google Scholar 

  15. F. Lin, K. Lu, T. Ke, B. Yang, and Y. Chang, “Reactive power control of three-phase grid-connected PV system during grid faults using Takagi-Sugeno-Kang probabilistic fuzzy neural network control,” IEEE Transactions on Industrial Electronics, vol. 62, no. 9, pp. 5516–5528, September 2015.

    Article  Google Scholar 

  16. M. A. Hannan, Z. A. Ghani, A. Mohamed, and M. N. Uddin, “Real-time testing of a fuzzy-logic-controller-based grid-connected photovoltaic inverter system,” IEEE Transactions on Industry Applications, vol. 51, no. 6, pp. 4775–4784, November-December 2015.

    Article  Google Scholar 

  17. J. M. Mendel, R. I. John, and F. Liu, “Interval type-2 fuzzy logic systems made simple,” IEEE Transactions on Fuzzy Systems, vol. 14, no. 6, pp. 808–821, December 2006.

    Article  Google Scholar 

  18. W. Peng, C. Li, G. Zhang, and J. Yi, “Interval type-2 fuzzy logic based transmission power allocation strategy for lifetime maximization of WSNs,” Engineering Applications of Artificial Intelligence, vol. 87, pp. 103269, January 2020.

    Article  Google Scholar 

  19. X. Tao, Y. Yi, Z. Pu, and T. Xiong, “Robust adaptive tracking control for hypersonic vehicle based on interval type-2 fuzzy logic system and small-gain approach,” IEEE Transactions on Cybernetics, vol. 51, no. 5, pp. 2504–2517, 2021.

    Article  Google Scholar 

  20. N. N. Venkataramana, S. P. Singh, A. Panda, and A. K. Panda, “A novel interval type-2 fuzzy based direct torque control of induction motor drive using five-level diode-clamped inverter,” IEEE Transactions on Industrial Electronics, vol. 68, no. 1, pp. 149–159, January 2021.

    Article  Google Scholar 

  21. S. Tong, X. Min, and Y. Li, “Observer-based adaptive fuzzy tracking control for strict-feedback nonlinear systems with unknown control gain functions,” IEEE Transactions on Cybernetics, vol. 50, no. 9, pp. 3903–3913, September 2020.

    Article  Google Scholar 

  22. S. Tong, K. Sun, and S. Sui, “Observer-based adaptive fuzzy decentralized optimal control design for strict-feedback nonlinear large-scale systems,” IEEE Transactions on Fuzzy Systems, vol. 26, no. 2, pp. 569–584, April 2018.

    Article  Google Scholar 

  23. X. Xie, M. Jiang, “Dynamic state feedback stabilization of stochastic cascade nonlinear time-delay systems with SISS inverse dynamics,” IEEE Transactions on Automatic Control, vol. 64, no. 12, pp. 5132–5139, December 2019.

    Article  MathSciNet  Google Scholar 

  24. W. Xiao, L. Cao, H. Li, and R. Lu, “Observer-based adaptive consensus control for nonlinear multi-agent systems with time-delay,” Science China. Information Sciences, vol. 63, no. 3, pp. 132202, February 2020.

    Article  MathSciNet  Google Scholar 

  25. Z. Zhao, J. Yang, S. Li, X. Yu, and Z. Wang, “Continuous output feedback TSM control for uncertain systems with a DC-AC inverter example,” IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 65, no. 1, pp. 71–75, January 2018.

    Article  Google Scholar 

  26. Y. Zhu and J. Fei, “Disturbance observer based fuzzy sliding mode control of PV grid connected inverter,” IEEE Access, vol. 6, pp. 21202–21211, April 2018.

    Article  Google Scholar 

  27. Q. Liang and J. M. Mendel, “Equalization of nonlinear time-varying channels using type-2 fuzzy adaptive filters,” IEEE Transactions on Fuzzy Systems, vol. 8, no. 5, pp. 551–563, October 2000.

    Article  Google Scholar 

  28. W. Dong, J. A. Farrell, M. M. Polycarpou, V. Djapic, and M. Sharma, “Command filtered adaptive backstepping,” IEEE Transactions on Control Systems Technology, vol. 20, no. 3, pp. 566–580, May 2012.

    Article  Google Scholar 

  29. Y. Li and S. Tong, “Command-filtered-based fuzzy adaptive control design for MIMO-switched nonstrict-feedback nonlinear systems,” IEEE Transactions on Fuzzy Systems, vol. 25, no. 3, pp. 668–681, June 2017.

    Article  Google Scholar 

  30. Q. Zhou, G. Chen, R. Lu, and W. Bai, “Disturbance-observer-based event-triggered control for multi-agent systems with input saturation,” Scientia Sinica Informationis, vol. 49, no. 11, pp. 1502–1516, November 2019.

    Article  Google Scholar 

  31. Y. Liu and H. Li, “Adaptive asymptotic tracking using barrier functions,” Automatica, vol. 98, pp. 239–246, December 2018.

    Article  MathSciNet  Google Scholar 

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Correspondence to Yongming Li.

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This work is supported by Shandong Key Laboratory of Intelligent Buildings Technology under Grant No. 2019019 and National Natural Science Foundation of China under Grant No. 61822307.

Tiechao Wang received his B.E. degree and M.E. degree in control theory and engineering from Liaoning Institute of Technology, Liaoning, China, in 1996 and in 2005, respectively, and a Ph.D. degree in control theory and engineering from Institute of Automation, Chinese Academy of Sciences, Beijing, China, in 2012. Currently, he is a Professor of the College of Electrical Engineering, Liaoning Institute of Technology, Liaoning, PR China. His research interests include fuzzy control, and neural network control for nonlinear systems.

Xuhang Zhang received his B.S. degree in electrical engineering and automation from Tangshan College, Tangshan, China in 2018, and is pursuing an M.S. degree in power system and automation from Liaoning University of Technology, Jinzhou, China. His research interests include power systems and adaptive control.

Yongming Li received his B.S. and M.S. degrees in applied mathematics from Liaoning University of Technology, Jinzhou, China, in 2004 and 2007, respectively. He received a Ph.D. degree in transportation information engineering & control from Dalian Maritime University, Dalian, China, in 2014. He is currently a Professor with the College of Science, Liaoning University of Technology. His current research interests include adaptive control, fuzzy control, and neural network control for nonlinear systems.

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Wang, T., Zhang, X. & Li, Y. Type-2 Fuzzy Adaptive Output Feedback Saturation Control for Photovoltaic Grid-connected Power Systems. Int. J. Control Autom. Syst. 19, 2759–2768 (2021). https://doi.org/10.1007/s12555-020-0629-9

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