“Compressor Surge Control Using Lyapunov Neural Networks”

Authors: Åse Neverlien, Signe Moe and Jan T. Gravdahl,
Affiliation: NTNU, Department of Engineering Cybernetics and SINTEF
Reference: 2020, Vol 41, No 2, pp. 41-49.

Keywords: Nonlinear process control, Industrial applications of process control

Abstract: In this paper surge control in a compression system using a close-coupled valve (CCV) is proposed. The control design is based on Lyapunov control theory in combination with neural networks (NNs) and focuses on minimization of loss of energy in the compressor system. The approach allows for control design with guaranteed region of attraction when considering saturated controls. The CCV modifies the characteristics of the compressor and thus stabilizes the equilibrium beyond the original surge line at the expense of a pressure drop over the valve. Two control laws for the compression system are proposed. The first control law provides a global asymptotically stable equilibrium. The second control law focuses on minimization of the pressure drop over the valve, and local asymptotically stability is proven.

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DOI forward links to this article:
[1] Jianhua Sun, Hai Gu, Jie Zhang and Hashem Imani Marrani (2021), doi:10.1177/09596518211057423
[1] Backi, C.J., Gravdahl, J.T., and Grotli, E.I. (2013). Backi, C, J., Gravdahl, J.T., and Grotli, E.I. Nonlinear observer design for a greitzer compressor model. In 21st Mediterranean Conference on Control and Automation. Chania, Greece., pages 1457--1463. doi:10.1109/MED.2013.6608913
[2] Backi, C.J., Gravdahl, J.T., and Skogestad, S. (2016). Backi, C, J., Gravdahl, J.T., and Skogestad, S. Robust control of a two-state greitzer compressor model by state-feedback linearization. In 2016 IEEE Conference on Control Applications (CCA). Buenos Aires, Argentina, 2016, pages 1226--1231. doi:10.1109/CCA.2016.7587974
[3] Gravdahl, J.T. and Egeland, O. (1997). Gravdahl, J, T. and Egeland, O. Compressor surge control using a close-coupled valve and backstepping. In Proceedings of the 1997 American Control Conference (Cat. No. 97CH36041), volume2. Albuquerque, NM, USA, 1997, pages 982--986. doi:10.1109/ACC.1997.609673
[4] Gravdahl, J.T. and Egeland, O. (2012). Gravdahl, J, T. and Egeland, O. Compressor surge and rotating stall: modeling and control. Springer Science & Business Media. doi:10.1007/978-1-4471-0827-6
[5] Kalman, R. and Bertram, J. (1959). Kalman, R, and Bertram, J. Control system analysis and design via the second method of lyapunov:(i) continuous-time systems (ii) discrete time systems. IRE Transactions on Automatic Control. 4(3):112--112. doi:10.1109/TAC.1959.1104895
[6] Khalil, H.K. (2015). Khalil, H, K. Nonlinear control. Pearson New York. .
[7] Liaw, D.-C., Ren, S.-M., Abed, E., etal. (2002). Liaw, D, -C., Ren, S.-M., Abed, E., etal. Surge control of axial flow compression systems via linear and nonlinear designs. In Proceedings of the 2002 American Control Conference (IEEE Cat. No. CH37301), volume6. Anchorage, AK, USA., pages 4347--4352, 2002. doi:10.1109/ACC.2002.1025330
[8] Moore, F. and Greitzer, E. (1986). Moore, F, and Greitzer, E. A theory of post stall transients in a axial compressor system, part 1-development of equation. Journal of Engineering for gas turbine and power. 108:68--76. doi:https://doi.org/10.1115/1.3239887
[9] Neverlien, Aa.V. (2019). Neverlien, Aa, V. Feedback control and AI in closed loop: Stability and robustness. Master's thesis, Norwegian University of Science and Technology, 2019. .
[10] Richards, S.M., Berkenkamp, F., and Krause, A. (2018). Richards, S, M., Berkenkamp, F., and Krause, A. The lyapunov neural network: Adaptive stability certification for safe learning of dynamic systems. arXiv preprint arXiv:1808.00924. .
[11] Simon, J. and Valavani, L. (1991). Simon, J, and Valavani, L. A lyapunov based nonlinear control scheme for stabilizing a basic compression system using a close-coupled control valve. In 1991 American Control Conference. Boston, MA, USA., pages 2398--2406. doi:10.23919/ACC.1991.4791832

  title={{Compressor Surge Control Using Lyapunov Neural Networks}},
  author={Neverlien, Åse and Moe, Signe and Gravdahl, Jan T.},
  journal={Modeling, Identification and Control},
  publisher={Norwegian Society of Automatic Control}