H∞-Based LQR Control for Flexible Air-Breathing Hypersonic Vehicles with Pole Placement

Article Preview

Abstract:

Focusing on a nonlinear longitudinal dynamical model for air-breathing hypersonic flight vehicles (AHFV), we propose a state feedback linearized model on a nominal trim condition. To stabilize the flight of an AHFV in the presence of external disturbances, a new H based Linear Quadratic Regulator (LQR) control law with pole placement is designed. Indexes for H performance, quadratic performance and pole placement are considered together. As a result, the robustness of system is improved and the AHFV system is effectively stabilized. Numerical simulation shows that the controller can effectively stabilize the AHFV system with some disturbances and assign the poles into a desired region.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

938-943

Citation:

Online since:

September 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] C. C. Coleman and F. A. Faruqi, On stability and control of hypersonic vehicles, Australian Government Department of Defence, PO Box 1500 Edinburgh South Australia 5111 Australia, Technical Report, (2009).

Google Scholar

[2] I. M. Gregory, R. S. Chowdhry, J. D. McMinn, and J. D. Shaughnessy, Hypersonic vehicle model and control law development using H∞ and synthesis, National Aeronautics and Space Administration, Hampton, Virginia, Technical Memorandum, (1992).

DOI: 10.2514/6.1992-5010

Google Scholar

[3] T. E. Gibson, L. G. Crespo, and A. M. Annaswamy, Adaptive control of hypersonic vehicles in the presence of modeling uncertainties, in American Control Conference, 2009, p.3178–3183.

DOI: 10.1109/acc.2009.5160746

Google Scholar

[4] H. Xu, M. D. Mirmirani, and P. A. Ioannou, Adaptive sliding mode control design for a hypersonic flight vehicle, Journal of Guidance, Control, and Dynamics, vol. 27, no. 5, p.829–838, (2004).

DOI: 10.2514/1.12596

Google Scholar

[5] J. Liu and F. Sun, Research and development on theory and algorithms of sliding mode control, Control Theory & Applications, vol. 24, no. 3, p.407–418, (2007).

Google Scholar

[6] H. Li, W. Sun, and Z. Li, Index approach law based sliding control for a hypersonic aircraft, in Systems and Control in Aerospace and Astronautics, ISSCAA 2008. 2nd International Symposium on, 2008, p.1–5.

DOI: 10.1109/isscaa.2008.4776282

Google Scholar

[7] H. Buschek and A. J. Calise., Fixed order robust control design for hypersonic vehicles, in AIAA Guidance, Navigation and Control Conference, 1994, p.1094–1103.

DOI: 10.2514/6.1994-3662

Google Scholar

[8] P. Lohsoonthorn, E. Jonckheere, and S. Dalzell, Eigenstructure vs constrained H∞ design for hypersonic winged cone, Journal of Guidance, Control, and Dynamics, vol. 24, no. 4, p.648–658, (2001).

DOI: 10.2514/2.4781

Google Scholar

[9] H. Zhang, Y. Shi, and A. Saadat Mehr, Robust static output feedback control and remote PID design for networked motor systems, IEEE Transactions on Industrial Electronics, vol. 58, no. 12, p.5396–5405, (2011).

DOI: 10.1109/tie.2011.2107720

Google Scholar

[10] —, Robust H∞ PID control for multivariable networked control systems with disturbance/noise attenuation, International Journal of Robust and Nonlinear Control, vol. 22, no. 2, p.183–204, (2012).

DOI: 10.1002/rnc.1688

Google Scholar

[11] H. Zhang, Y. Shi, A. Saadat Mehr, and H. Huang, Robust energy-to-peak FIR equalization for time-varying communication channels with intermittent observations, Signal Processing, vol. 91, no. 7, p.1651–1658, (2011).

DOI: 10.1016/j.sigpro.2011.01.011

Google Scholar

[12] H. Zhang, Y. Shi, and A. Saadat Mehr, On H∞ filtering for discrete time takagi-sugeno fuzzy systems, IEEE Transactions on Fuzzy Systems, vol. 20, no. 2, p.396–401, (2012).

DOI: 10.1109/tfuzz.2011.2175933

Google Scholar

[13] C. Dong, Y. Hou, Y. Zhang, and Q. Wang, Model reference adaptive switching control of a linearized hypersonic flight vehicle model with actuator saturation, Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, vol. 224, p.289–303, (2010).

DOI: 10.1243/09596518jsce829

Google Scholar

[14] H. Zhang, Y. Shi, and A. Saadat Mehr, Robust weighted H∞ filtering for networked systems with intermitted measurements of multiple sensors, International Journal of Adaptive Control and Signal Processing, vol. 25, no. 4, p.313–330, (2011).

DOI: 10.1002/acs.1200

Google Scholar

[15] H. Gao, Y. Si, H. Li, X. Hu, and C. Wang, Modeling and control of an air-breathing hypersonic vehicle, in Proceedings of the 7th Asian Control Conference, 2009, p.1114–1119.

Google Scholar

[16] Q. Wang and R. F. Stengel, Robust nonlinear control hypersonic aircraft, Journal of Guidance, Control, and Dynamics, vol. 23, no. 4, p.577–585, (2000).

DOI: 10.2514/2.4580

Google Scholar

[17] Z. Gao, B. Jiang, P. Shi, J. Liu, and Y. Xu, Passive fault-tolerant control design for near-space hypersonic vehicle dynamical system, Circuits, Systems and Signal Processing, vol. 31, no. 4, p.565–581, (2012).

DOI: 10.1007/s00034-011-9385-7

Google Scholar