Skip to main content
Log in

A Discrete-Time Robust Adaptive Controller Applied to Grid-Connected Converters with LCL Filter

  • Published:
Journal of Control, Automation and Electrical Systems Aims and scope Submit manuscript

Abstract

This paper proposes a novel discrete-time robust model reference adaptive controller based on a modified recursive least squares applied to grid-connected converter with LCL filter. This controller uses an input–output approach to reduce the number of sensors, and it is robust to additive and multiplicative unmodeled dynamics and sinusoidal disturbances. Experimental results are presented in order to verify the performance of proposed control strategy.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  • Aström, K. J., Hagander, P., & Sternby, J. (1980). Zeros of sampled systems. In 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes (vol. 19, pp. 1077–1081).

  • Della Flora, L., & Gründling, H. A. (2008). Design of a robust model reference adaptive voltage controller for an electrodynamic shaker. Revista Eletrônica de Potência (SOBRAEP), 13(3), 133–140.

    Google Scholar 

  • Gabe, I. J., Montagner, V. F., & Pinheiro, H. (2009). Design and implementation of a robust current controller for VSI connected to the grid through an LCL filter. IEEE Transactions on Power Electronics, 24(6), 1444–1452.

    Article  Google Scholar 

  • Gao, Q., Gao, F., & Zhang, C. (2011). Indirect robust model reference adaptive control for discrete-time system with output uncertainty. In Proceedings of the 30th Chinese Control Conference (pp. 2216–2221).

  • Hsu, L. (1988). Variable structure model reference adaptive control (VS-MRAC) using only input and output measurements: Part ii’. In Proceedings of the 27th Conference on Decision and Control.

  • Ioannou, P., & Tsakalis, K. A. (1986). A robust discrete-time adaptive controller. In IEEE Proceedings of 25th Conference on Decision and Control (pp. 838–843).

  • Ioannou, P., & Tsakalis, K. A. (1986). A robust direct adaptive controller. IEEE Transactions on Automatic Control, 31(11), 1033–1043.

    Article  MATH  Google Scholar 

  • Khanna, R., Zhang, Q., Stanchina, W. E., Reed, G. F., & Mao, Z.-H. (2014). Maximum power point tracking using model reference adaptive control. IEEE Transactions on Power Electronics, 29(3), 1490–1499. doi:10.1109/TPEL.2013.2263154.

    Article  Google Scholar 

  • Lindgren, M., & Svensson, J. (1998). Control of a voltage-source converter connected to the grid through an LCL-filter-application to active filter. In Proceedings of PESC’98 (vol. 1, pp. 229–2315).

  • Liserre, M., Blaabjerg, F., & Teodorescu, R. (2006). Stability of photovoltaic and wind turbine grid-connected inverters for a large set of grid impedance values. IEEE Transactions on Power Electronics, 21(1), 263–272.

  • Liu, Y., Zhao, J., Xia, M., & Luo, H. (2014). Model reference adaptive control-based speed control of brushless DC motors with low-resolution Hall-effect sensors. IEEE Transactions on Power Electronics, 14(3), 1514–1522. doi:10.1109/TPEL.2013.2262391.

  • Lozano-Leal, R., Collado, J., & Mondié, S. (1990). Model reference adaptive control without a priori knowledge of the high frequency gain. IEEE Transactions on Automatic Control, 35(1), 71–78.

  • Mariethoz, S., Beccuti, A.G., & Morari, M. (2008). Analysis and optimal current control of a voltage source inverter connected to the grid through an LCL filter. In Records of IEEE Power Electronics Specialists Conference (pp. 2132–2138).

  • Massing, J. R., Stefanello, M., Gründling, H. A., & Pinheiro, H. (2012). Adaptive current control for grid-connected converters with LCL filter. IEEE Transactions on Industrial Electronics, 59(12), 4681–4693.

    Article  Google Scholar 

  • Montanaro, U., Di Gaeta, A., & Giglio, V. (2014). Robust discrete-time MRAC with minimal controller synthesis of an electronic throttle body. IEEE/ASME Transactions on Mechatronics, 19(2), 524–537. doi:10.1109/TMECH.2013.2247614.

    Article  Google Scholar 

  • Narendra, K., Lin, Y.-H., & Valavani, L. (1980). Stable adaptive controller design, part ii: Proof of stability. IEEE Transactions on Automatic Control, 25(3), 440–448.

    Article  MATH  Google Scholar 

  • Salgado, M. E., Goodwin, G. C., & Middleton, R. H. (1988). Modified least-squares algorithm incorporating exponential resetting and forgetting. International Journal of Control, 47(2), 477–491.

    Article  MATH  Google Scholar 

  • Stefanello, M., & Gründling, H. A. (2010). Stability analysis of a combined direct and variable structure adaptive control. IET Control Theory and Applications, 5(6), 764–774.

    Article  MathSciNet  Google Scholar 

  • Tambara, R.V., Massing, J.R., Pinheiro, H., & Gründling, H. A. (2013). A digital RMRAC controller based on a modified RLS algorithm applied to the control of the output currents of an LCL-filter connected to the grid. In 2013 15th European Conference on Power Electronics and Applications (EPE) (pp. 1–8). Lille, France.

  • Teja, A. R., Chakraborty, C., Maiti, S., & Hori, Y. (2012). A new model reference adaptive controller for four quadrant vector controlled induction motor drives. IEEE Transactions on Industrial Electronics, 59(10), 3757–3767. doi:10.1109/TIE.2011.2164769.

    Article  Google Scholar 

  • Yang, Y., Balakrishnan, S. N., Tang, L., & Landers, R. G. (2013). Electrohydraulic control using neural MRAC based on a modified state observer. IEEE/ASME Transaction on Mechatronics, 18(3), 867–877. doi:10.1109/TMECH.2012.2193592.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Rodrigo V. Tambara.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Tambara, R.V., Kanieski, J.M., Massing, J.R. et al. A Discrete-Time Robust Adaptive Controller Applied to Grid-Connected Converters with LCL Filter. J Control Autom Electr Syst 28, 371–379 (2017). https://doi.org/10.1007/s40313-017-0313-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40313-017-0313-3

Keywords

Navigation