A Model-Based Framework for Dynamic Antiwindup Strategy for Gas Turbine Engine Fuel Control System
Publication: Journal of Aerospace Engineering
Volume 35, Issue 5
Abstract
Fuel control is usually required to work with the acceleration and deceleration schedules to provide limit protection. However, limit protection will deteriorate controller performance. In this work, we investigate a model-based framework for gas turbine engine fuel control system. First, the gas turbine engine performance degradation due to the actuator saturation in fuel control system is described, and the thermodynamic component-level model and small deviation linear control model are obtained from the experimental data. Then, the problem of antiwindup in gas turbine engine control system is formed and the traditional static antiwindup compensator is introduced. Next, a dynamic antiwindup compensator based on Lyapunov stability is proposed to improve the control performance, and the design of the compensator is formulated and solved in linear matrix inequality framework. One of the notable features of the proposed approach is that the original controller does not need to redesign, and its previous control performance remains unchanged in set-point control. Compared with the static compensator in hardware-in-loop simulation, the proposed dynamic compensator can achieve better performance.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
This research is supported by the National Natural Science Foundation of China (61890921 and 61890923) and National Science and Technology Major Project (2017-I-0001-0001).
References
Astrom, K. J., and L. Rundqwist. 1989. “Integrator windup and how to avoid it.” In Proc., American Control Conf., 1693–1698. New York: IEEE.
Bemporad, A., A. R. Teel, and L. Zaccarian. 2004. “Anti-windup synthesis via sampled-data piecewise affine optimal control.” Automatica 40 (4): 549–562. https://doi.org/10.1016/j.automatica.2003.11.004.
Benzaouia, A., M. Benhayoun, and F. Mesquine. 2014. “Stabilization of systems with unsymmetrical saturated control: An LMI approach.” Circuits Syst. Signal Process. 33 (10): 3263–3275. https://doi.org/10.1007/s00034-014-9786-5.
Cao, Y., Z. L. Lin, and D. G. Ward. 2002. “An anti-windup approach to enlarging domain of attraction for linear systems subject to actuator saturation.” IEEE Trans. Autom. Control 47 (1): 140–145. https://doi.org/10.1109/9.981734.
Connolly, J. W., J. Csank, and A. Chicatelli. 2016. “Advanced control considerations for turbofan engine design.” In Proc., 52nd AIAA/SAE/ASEE Joint Propulsion Conf., 4653. Reston, VA: American Institute of Aeronautics and Astronautics.
Csank, J., R. May, J. Litt, and T.-H. Guo. 2010. “Control design for a generic commercial aircraft engine.” In Proc., 46th AIAA/ASME/SAE/ASEE Joint Propulsion Conf. & Exhibit, 6629. Reston, VA: American Institute of Aeronautics and Astronautics.
Dai, D., T. S. Hu, A. R. Teel, and L. Zaccarian. 2009. “Output feedback design for saturated linear plants using deadzone loops.” Automatica 45 (12): 2917–2924. https://doi.org/10.1016/j.automatica.2009.09.022.
da Silva, J. M. G., and S. Tarbouriech. 2003. “Anti-windup design with guaranteed regions of stability: An LMI-based approach.” In Proc., 42th IEEE Conf. on Decision and Control. New York: IEEE.
da Silva, J. M. G., and S. Tarbouriech. 2005. “Anti-windup design with guaranteed regions of stability: An LMI-based approach.” IEEE Trans. Autom. Control 50 (1): 106–111. https://doi.org/10.1109/TAC.2004.841128.
Frederick, D. K., S. Garg, and S. Adibhatla. 2000. “Turbofan engine control design using robust multivariable control technologies.” IEEE Trans. Control Syst. Technol. 8 (6): 961–970. https://doi.org/10.1109/87.880600.
Galeani, S., M. Massimetti, A. R. Teel, and L. Zaccarian. 2006. “Reduced order linear anti-windup augmentation for stable linear systems.” Int. J. Syst. Sci. 37 (2): 115–127. https://doi.org/10.1080/00207720500444223.
Galeani, S., S. Tarbouriech, M. Turner, and L. Zaccarian. 2009. “A tutorial on modern anti-windup design.” Eur. J. Control 15 (3–4): 418–440. https://doi.org/10.3166/ejc.15.418-440.
Glattfelder, A., and W. Schaufelberger. 1983. “Stability analysis of single loop control systems with saturation and antireset-windup circuits.” IEEE Trans. Autom. Control 28 (12): 1074–1081. https://doi.org/10.1109/TAC.1983.1103180.
Grimm, G., J. Hatfield, I. Postlethwaite, A. R. Teel, M. C. Turner, and L. Zaccarian. 2003a. “Antiwindup for stable linear systems with input saturation: An LMI-based synthesis.” IEEE Trans. Autom. Control 48 (9): 1509–1525. https://doi.org/10.1109/TAC.2003.816965.
Grimm, G., I. Postlethwaite, A. Teel, M. Turner, and L. Zaccarian. 2003b. “Case studies using LMIs in anti-windup synthesis for stable linear systems with input saturation.” Eur. J. Control 9 (5): 463–473. https://doi.org/10.3166/ejc.9.463-473.
Grimm, G., I. Postlethwaite, A. R. Teel, M. C. Turner, and L. Zaccarian. 2001. “Linear matrix inequalities for full and reduced order anti-windup synthesis.” In Proc., American Control Conf., 4134–4139. Arlington, VA: IEEE.
Grimm, G., A. R. Teel, and L. Zaccarian. 2003c. “The anti-windup problem for discrete-time linear systems: Definition and solutions.” Syst. Control Lett. 57 (4): 356–364. https://doi.org/10.1016/j.sysconle.2007.09.014.
Grimm, G., A. R. Teel, and L. Zaccarian. 2004a. “Linear LMI-based external anti-windup augmentation for stable linear systems.” Automatica 40 (11): 1987–1996. https://doi.org/10.1016/j.automatica.2004.07.001.
Grimm, G., A. R. Teel, and L. Zaccarian. 2004b. “Robust linear anti-windup synthesis for recovery of unconstrained performance.” Int. J. Robust Nonlinear Control 14 (1314): 1133–1168. https://doi.org/10.1002/rnc.937.
Hu, T. S., Z. L. Lin, and B. M. Chen. 2002. “An analysis and design method for linear systems subject to actuator saturation and disturbance.” Automatica 38 (2): 351–359. https://doi.org/10.1016/S0005-1098(01)00209-6.
Hu, T. S., A. R. Teel, and L. Zaccarian. 2005. “Regional anti-windup compensation for linear systems with input saturation.” In Proc., 2005 American Control Conf., 3397–3402. New York: IEEE.
Hu, T. S., A. R. Teel, and L. Zaccarian. 2006. “Stability and performance for saturated systems via quadratic and nonquadratic Lyapunov functions.” IEEE Trans. Autom. Control 51 (11): 1770–1786. https://doi.org/10.1109/TAC.2006.884942.
Jaw, L. C., and J. D. Mattingly. 2009. Aircraft engine controls–Design, system analysis, and health monitoring. Reston, VA: American Institute of Aeronautics and Astronautics.
Kapoor, N., and A. R. Teel. 1997. “A dynamic windup compensation scheme applied to a turbofan engine.” In Vol. 5 of Proc., 36th IEEE Conf. on Decision and Control, 4689–4694. New York: IEEE.
Kapoor, N., A. R. Teel, and P. Daoutidis. 1998. “An anti-windup design for linear systems with input saturation.” Automatica 34 (5): 559–574. https://doi.org/10.1016/S0005-1098(97)00194-5.
Kothare, M. V., P. J. Campo, M. Morari, and C. N. Nett. 1994. “A unified framework for the study of anti-windup designs.” Automatica 30 (12): 1869–1883. https://doi.org/10.1016/0005-1098(94)90048-5.
Liu, W. S., Y. Chitour, and E. Sontag. 1996. “On finite-gain stabilizability of linear systems subject to input saturation.” SIAM J. Control Optim. 34 (4): 1190–1219. https://doi.org/10.1137/S0363012994263469.
Mulder, E. F., M. V. Kothare, and M. Morari. 2001. “Multivariable anti-windup controller synthesis using linear matrix inequalities.” Automatica 37 (9): 1407–1416. https://doi.org/10.1016/S0005-1098(01)00075-9.
Spang, H. A., III, and H. Brown. 1999. “Control of jet engines.” Control Eng. Pract. 7 (9): 1043–1059. https://doi.org/10.1016/S0967-0661(99)00078-7.
Tarbouriech, S., and M. C. Turner. 2009. “Anti-windup design: An overview of some recent advances and open problems.” IET Control Theory Appl. 3 (1): 1–19. https://doi.org/10.1049/iet-cta:20070435.
Teel, A. R., and N. Kapoor. 1997a. “The anti-winup problem: Its definition and solution.” In Proc., 1997 European Control Conf. (ECC), 1897–1902. New York: IEEE.
Teel, A. R., and N. Kapoor. 1997b. “Uniting local and global controllers.” In Proc., 1997 European Control Conf. (ECC), 3868–3873. New York: IEEE.
Turner, M. C., and M. Kerr. 2018. “A nonlinear modification for improving dynamic anti-windup compensation.” Eur. J. Control 41 (May): 44–52. https://doi.org/10.1016/j.ejcon.2018.02.001.
Turner, M. C., and I. Postlethwaite. 2004. “A new perspective on static and low order anti-windup synthesis.” Int. J. Control 77 (1): 27–44. https://doi.org/10.1080/00207170310001640116.
Wang, Q., and A. Xue. 2018. “Robust control for spacecraft rendezvous system with actuator unsymmetrical saturation: A gain scheduling approach.” Int. J. Control 91 (6): 1241–1250. https://doi.org/10.1080/00207179.2017.1313451.
Watts, S., and S. Garg. 1995. An optimized integrator windup protection technique applied to a turbofan engine control. Reston, VA: American Institute of Aeronautics and Astronautics.
Weston, P., and I. Postlethwaite. 2000. “Linear conditioning for systems containing saturating actuators.” Automatica 36 (9): 1347–1354. https://doi.org/10.1016/S0005-1098(00)00044-3.
Wu, F., K. M. Grigoriadis, and A. Packard. 2000. “Anti-windup controller design using linear parameter-varying control methods.” Int. J. Control 73 (12): 1104–1114. https://doi.org/10.1080/002071700414211.
Wu, W.-J., and H.-T. Liu. 2019. “Semi-global stabilization of discrete-time linear systems with unsymmetrical saturation.” ISA Trans. 92 (Sep): 134–144. https://doi.org/10.1016/j.isatra.2019.02.008.
Yuan, C., and F. Wu. 2015. “Switching control of linear systems subject to asymmetric actuator saturation.” Int. J. Control 88 (1): 204–215. https://doi.org/10.1080/00207179.2014.942884.
Zaccarian, L., and A. R. Teel. 2002. “A common framework for anti-windup, bumpless transfer and reliable designs.” Automatica 38 (10): 1735–1744. https://doi.org/10.1016/S0005-1098(02)00072-9.
Zaccarian, L., and A. R. Teel. 2004. “Nonlinear scheduled anti-windup design for linear systems.” IEEE Trans. Autom. Control 49 (11): 2055–2061. https://doi.org/10.1109/TAC.2004.837539.
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Published In
Journal of Aerospace Engineering
Volume 35 • Issue 5 • September 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Jan 15, 2020
Accepted: May 2, 2022
Published online: Jun 27, 2022
Published in print: Sep 1, 2022
Discussion open until: Nov 27, 2022
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