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Gain scheduling control of aero-engine based on mixing polynomial LPV synthesis

  • Bin Shen , Lingfei Xiao EMAIL logo and Zhifeng Ye
Published/Copyright: January 30, 2023
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Abstract

A full envelope LMI-based multi-region linear parameter-varying power controller is designed for a turbofan engine in this paper. According to the characteristics of aero-engine model, three scheduling variables are divided into two groups firstly, and then part of them are partitioned, rather than all scheduling variables are partitioned directly as the usual multi-region LPV control. The polynomial LPV model of aero-engine is established under a specific flight condition. An explicit LPV controller by gridding method based on parameter-dependent Lyapunov function is designed and we propose a method to eliminate the dependence of LPV controller on the derivative of scheduling parameter. The flight envelope of turbofan engine is divided into multiple sub-regions, and a mixing LPV control method with overlapping regions is proposed, which can guarantee stability and performance across the full envelope. Finally, the simulation results on the nonlinear component level model of a twin-spool turbofan engine verify our method.


Corresponding author: Lingfei Xiao, College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Jiangsu Province Key Laboratory of Aerospace Power Systems, 29 Yudao Street, Nanjing, 210016, P. R. China, E-mail:

  1. Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: This work is supported by the National Natural Science Foundation of China (No. 51876089).

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

References

1. Rugh, WJ. Analytical framework for gain scheduling. IEEE Control Syst Mag 1991;11:79–84.10.1109/37.103361Search in Google Scholar

2. Shamma, JS, Athans, M. Analysis of gain scheduled control for nonlinear plants. IEEE Trans Automat Control 1990;35:898–907. https://doi.org/10.1109/9.58498.Search in Google Scholar

3. Seo, JW, Kim, DJ, Kim, JS, Chung, CC. LPV H2 state feedback controller for automated parking system. IEEE Control Syst Lett 2022;6:572–7. https://doi.org/10.1109/lcsys.2021.3083977.Search in Google Scholar

4. Sename, O. Review on LPV approaches for suspension systems. Electronics 2021;10:1–23. https://doi.org/10.3390/electronics10172120.Search in Google Scholar

5. Taner, B, Bhusal, R, Subbarao, K. Nested robust controller design for interconnected linear parameter varying aerial vehicles. J Guid Control Dynam 2021;44:1454–68. https://doi.org/10.2514/1.g005323.Search in Google Scholar

6. Wolodkin, G, Balas, GJ, Garrard, WL. Application of parameter-dependent robust control synthesis to turbofan engines. J Guid Control Dynam 1999;22:833–8. https://doi.org/10.2514/2.4460.Search in Google Scholar

7. Gilbert, W, Henrion, D, Bernussou, J, Boyer, D. Polynomial LPV synthesis applied to turbofan engines. Control Eng Pract 2010;18:1077–83. https://doi.org/10.1016/j.conengprac.2008.10.019.Search in Google Scholar

8. Tang, L, Huang, J, Pan, M. Switching LPV control with double-layer LPV model for aero-engines. Int J Turbo Jet Engines 2017;34:313–20.10.1515/tjj-2016-0007Search in Google Scholar

9. Apkarian, P, Gahinet, P, Becker, G. Self-scheduled H∞ control of linear parameter-varying systems: a design example. Automatica 1995;31:1251–61. https://doi.org/10.1016/0005-1098(95)00038-x.Search in Google Scholar

10. Leith, DJ, Leithead, WE. Survey of gain-scheduling analysis and design. Int J Control 2000;73:1001–25. https://doi.org/10.1080/002071700411304.Search in Google Scholar

11. Rugh, WJ, Shamma, JS. Research on gain scheduling. Automatica 2000;36:1401–25. https://doi.org/10.1016/s0005-1098(00)00058-3.Search in Google Scholar

12. Apkarian, P, Gahinet, P. A convex characterization of gain-scheduled H∞ controllers. IEEE Trans Automat Control 1995;40:853–64. https://doi.org/10.1109/9.384219.Search in Google Scholar

13. Veenman, J, Scherer, CW. A synthesis framework for robust gain-scheduling controllers. Automatica 2014;50:2799–812. https://doi.org/10.1016/j.automatica.2014.10.002.Search in Google Scholar

14. Becker, G, Packard, A. Robust performance of linear parametrically varying systems using parametrically-dependent linear feedback. Syst Control Lett 1994;23:205–15. https://doi.org/10.1016/0167-6911(94)90006-x.Search in Google Scholar

15. Wu, F, Yang, XH, Packard, A, Becker, G. Induced L2-norm control for LPV systems with bounded parameter variation rates. Int J Robust Nonlinear Control 1996;6:983–98. https://doi.org/10.1002/(sici)1099-1239(199611)6:9/10<983::aid-rnc263>3.0.co;2-c.10.1002/(SICI)1099-1239(199611)6:9/10<983::AID-RNC263>3.3.CO;2-3Search in Google Scholar

16. Yu, J, Sideris, A. H∞ control with parametric Lyapunov functions. Syst Control Lett 1997;30:57–69. https://doi.org/10.1016/s0167-6911(96)00075-8.Search in Google Scholar

17. Apkarian, P, Adams, RJ. Advanced gain-scheduling techniques for uncertain systems. IEEE Trans Control Syst Technol 1998;6:21–32. https://doi.org/10.1109/87.654874.Search in Google Scholar

18. Becker, G. Additional results on parameter-dependent controllers for LPV systems. IFAC Proc Vol 1996;29:3222–7. https://doi.org/10.1016/s1474-6670(17)58172-0.Search in Google Scholar

19. Gahinet, P, Apkarian, P, Chilali, M. Affine parameter-dependent Lyapunov functions and real parametric uncertainty. IEEE Trans Automat Control 1996;41:436–42. https://doi.org/10.1109/9.486646.Search in Google Scholar

20. Frederick, DK, Garg, S, Adibhatla, S. Turbofan engine control design using robust multivariable control technologies. IEEE Trans Control Syst Technol 2000;8:961–70. https://doi.org/10.1109/87.880600.Search in Google Scholar

21. Jaw, L, Mattingly, J. Aircraft engine controls: design, system analysis, and health monitoring. New York, NY, USA: American Institute of Aeronautics and Astronautics; 2009.10.2514/4.867057Search in Google Scholar

22. Reberga, L, Henrion, D, Bernussou, J, Vary, F. LPV modeling of a turbofan engine. IFAC Proc Vol 2005;38:526–31. https://doi.org/10.3182/20050703-6-cz-1902.00488.Search in Google Scholar

23. Cai, GB, Duan, GR, Hu, CH. A velocity-based LPV modeling and control framework for nonlinear tracking. In: Proceedings of the 29th Chinese Control Conference. Beijing; 2010:286–91 pp.Search in Google Scholar

24. Lyantsev, OD, Kazantsev, AV, Abdulnagimov, AI. Identification method for nonlinear dynamic models of gas turbine engines on acceleration mode. Procedia Eng 2017;176:409–15. https://doi.org/10.1016/j.proeng.2017.02.339.Search in Google Scholar

Received: 2023-01-10
Accepted: 2023-01-11
Published Online: 2023-01-30
Published in Print: 2024-03-25

© 2023 Walter de Gruyter GmbH, Berlin/Boston

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