Disturbance Observer–Based Nonlinear Model Predictive Control for Air-Breathing Hypersonic Vehicles
Publication: Journal of Aerospace Engineering
Volume 32, Issue 1
Abstract
The disturbance-observer-based nonlinear model predictive control (DOB-NMPC) for air-breathing hypersonic vehicles (AHVs) is proposed in this paper. The longitudinal dynamic model of generic AHVs is first redesigned and optimized for prediction, whereas the cost function of nonlinear model predictive control (NMPC) is designed with series expansions and derivative feedback. A disturbance-observer-based control (DOBC) law is then developed for enhancing robustness in the presence of external disturbances and parameter uncertainties. The relationship among tracking errors, sample time, and estimation errors is finally investigated. Compared with existing tracking control for AHVs, the proposed DOB-NMPC achieves tracking commands effectively without sacrificing the nominal tracking performance, and the convergence range of tracking errors is verified by stability analysis and simulation studies.
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References
Bu, X., X. Wu, D. Wei, and J. Huang. 2016. “Neural-approximation-based robust adaptive control of flexible air-breathing hypersonic vehicles with parametric uncertainties and control input constraints.” Inf. Sci. 346 (C): 29–43. https://doi.org/10.1016/j.ins.2016.01.093.
Bu, X., X. Wu, R. Zhang, Z. Ma, and J. Huang. 2015. “Tracking differentiator design for the robust backstepping control of a flexible air-breathing hypersonic vehicle.” J. Franklin Inst. 352 (4): 1739–1765. https://doi.org/10.1016/j.jfranklin.2015.01.014.
Chen, W. H. 2004. “Disturbance observer based control for nonlinear systems.” IEEE/ASME Trans. Mechatron. 9 (4): 706–710. https://doi.org/10.1109/TMECH.2004.839034.
Chen, W. H., J. Yang, L. Guo, and S. Li. 2016. “Disturbance-observer-based control and related methods—An overview.” IEEE Trans. Ind. Electron. 63 (2): 1083–1095. https://doi.org/10.1109/TIE.2015.2478397.
Gao, Z., Y. Huang, and J. Han. 2002. “An alternative paradigm for control system design.” In Vol. 5 of Proc., IEEE Conf. on Decision and Control, 4578–4585. Orlando, FL: IEEE.
Ginoya, D., P. D. Shendge, and S. B. Phadke. 2014. “Sliding mode control for mismatched uncertain systems using an extended disturbance observer.” IEEE Trans. Ind. Electron. 61 (4): 1983–1992. https://doi.org/10.1109/TIE.2013.2271597.
Hammouri, H., and Z. Tmar. 2010. “Unknown input observer for state affine systems: A necessary and sufficient condition.” Automatica 46 (2): 271–278. https://doi.org/10.1016/j.automatica.2009.11.004.
Hu, X., H. R. Karimi, L. Wu, and Y. Guo. 2014. “Model predictive control-based non-linear fault tolerant control for air-breathing hypersonic vehicles.” IET Control Theory Appl. 8 (13): 1147–1153. https://doi.org/10.1049/iet-cta.2013.0986.
Hu, X., L. Wu, C. Hu, and H. Gao. 2012. “Adaptive sliding mode tracking control for a flexible air-breathing hypersonic vehicle.” J. Franklin Inst. 349 (2): 559–577. https://doi.org/10.1016/j.jfranklin.2011.08.007.
Khan, M. A., and P. Lu. 1994. “New technique for nonlinear control of aircraft.” J. Guid. Control Dyn. 17 (5): 1055–1060. https://doi.org/10.2514/3.21309.
Kwon, S. J., and K. C. Wan. 2003. “A discrete-time design and analysis of perturbation observer for motion control applications.” IEEE Trans. Control Syst. Technol. 11 (3): 399–407. https://doi.org/10.1109/TCST.2003.810398.
Li, W. L., and J. T. Li. 2007. “Uncertainty observers for uncertain systems.” [In Chinese.] Control Theory Appl. 24 (6):933–937. https://doi.org/10.7641/j.issn.1000-8152.2007.6.013.
Pu, Z., R. Yuan, X. Tan, and J. Yi. 2015. “Active robust control of uncertainty and flexibility suppression for air-breathing hypersonic vehicles.” Aerosp. Sci. Technol. 42 (2015): 429–441. https://doi.org/10.1016/j.ast.2015.01.028.
Ren, B., Q. C. Zhong, and J. Chen. 2015. “Robust control for a class of nonaffine nonlinear systems based on the uncertainty and disturbance estimator.” IEEE Trans. Ind. Electron. 62 (9): 5881–5888. https://doi.org/10.1109/TIE.2015.2421884.
Slegers, N., and C. Gorman. 2009. “Predictive control of general nonlinear systems using series approximations.” In AIAA Guidance, Navigation, and Control Conf. Chicago: AIAA.
Slegers, N., J. Kyle, and M. Costello. 2006. “Nonlinear model predictive control technique for unmanned air vehicles.” J. Guid. Control Dyn. 29 (5): 1179–1188. https://doi.org/10.2514/1.21531.
Sudalagunta, P. R., C. Sultan, R. K. Kapania, L. T. Watson, and P. Raj. 2015. “Aeroelastic control-oriented modeling of an air-breathing hypersonic vehicle.” In Dynamics Specialists Conf. San Diego: AIAA.
Sun, H., S. Li, J. Yang, and L. Guo. 2014. “Non-linear disturbance observer-based back-stepping control for air-breathing hypersonic vehicles with mismatched disturbances.” IET Control Theory Appl. 8 (17): 1852–1865. https://doi.org/10.1049/iet-cta.2013.0821.
Wang, J., S. Li, J. Yang, and B. Wu. 2015. “Extended state observer-based sliding mode control for PWM-based Dc-Dc buck power converter systems with mismatched disturbances.” IET Control Theory Appl. 9 (4): 579–586. https://doi.org/10.1049/iet-cta.2014.0220.
Xu, B., and Z. K. Shi. 2015. “An overview on flight dynamics and control approaches for hypersonic vehicles.” Sci. China 58 (7): 1133–1147. https://doi.org/10.1007/s11430-015-5094-6.
Xu, H. J., M. D. Mirmirani, and P. A. Ioannou. 2004. “Adaptive sliding mode control design for a hypersonic flight vehicle.” J. Guid. Control Dyn. 27 (5): 829–838. https://doi.org/10.2514/1.12596.
Yang, J., W. H. Chen, and S. Li. 2011. “Non-linear disturbance observer-based robust control for systems with mismatched disturbances/uncertainties.” IET Control Theory Appl. 5 (18): 2053–2062. https://doi.org/10.1049/iet-cta.2010.0616.
Yang, J., S. Li, C. Sun, and L. Guo. 2013. “Nonlinear-disturbance-observer-based robust flight control for air-breathing hypersonic vehicles.” IEEE Trans. Aerosp. Electron. Syst. 49 (2): 1263–1275. https://doi.org/10.1109/TAES.2013.6494412.
Yang, J., Z. Zhao, S. Li, and X. Z. Wei. 2014. “Composite predictive flight control for air-breathing hypersonic vehicles.” Int. J. Control 87 (9): 1970–1984. https://doi.org/10.1080/00207179.2014.896477.
Zhang, T., J. Zhou, and J. Guo. 2014. “Design of predictive controller for hypersonic vehicles based on disturbance observer.” [In Chinese.] Acta Aeronaut. Astronautica Sinica 35 (1): 215–222. https://doi.org/10.7527/S1000-6893.2013.0390.
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Published In
Journal of Aerospace Engineering
Volume 32 • Issue 1 • January 2019
Copyright
©2018 American Society of Civil Engineers.
History
Received: Aug 11, 2017
Accepted: Jun 13, 2018
Published online: Sep 28, 2018
Published in print: Jan 1, 2019
Discussion open until: Feb 28, 2019
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