Command Tracking Control System Design and Evaluation for Hypersonic Reentry Vehicles Driven by a Reaction Control System
Publication: Journal of Aerospace Engineering
Volume 28, Issue 4
Abstract
This paper addresses the command tracking control system (CTCS) design problem for plants involving input quantization and input saturation. A novel approach is proposed and demonstrated to the angle of attack (AOA) CTCS and bank angle CTCS of hypersonic reentry vehicles (HRV) driven by a reaction control system (RCS). First, the six-degree-of-freedom (6-DOF) nonlinear dynamic model of HRV and the mathematical model of RCS are established, and dynamic analysis is conducted based on the linearized model of HRV. Second, a general CTCS for plants involving input quantization and saturation is designed by solving a convex optimization problem based on linear matrix inequalities (LMIs). Formulations of the domains of attraction and convergence of the closed loop CTCS are derived. Furthermore, input to state stability (ISS) of the closed loop system is analyzed. Finally, the proposed approach is applied to design the longitudinal AOA CTCS and lateral–directional bank angle CTCS of HRV driven by an RCS. Validation simulations are conducted by using the linear model and the 6-DOF nonlinear dynamic model of HRV, which indicate that the proposed LMIs based approach is well suited for CTCS design for static–unstable plants and multiaxis coupling plants driven by actuators with quantization and saturation.
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Acknowledgments
The grant supports from Aviation Science Foundation of China (20110172001) and Cultivation Special Purpose Project of the Science and Technology Innovation, Major Program of Beijing Institute of Technology of China (2011CX01007) are greatly acknowledged.
References
Alexander, N., Penchuk, P. D. H., and Kubiak, E. T. (1985). “Frequency domain stability analysis of a phase plane control system.” J. Guidance Control Dyn., 8(1), 50–55.
Anonymous. (1972). “Guidance system operations plan for manned CM earth orbital and lunar missions using program colossus 3, sec. 3, digital autopilots (rev. 14).”, NASA, Washington, DC.
Boyd, S. (1994). “Some standard problems involving LMIs.” Linear matrix inequalities in system and control theory, Society for Industrial and Applied Mathematics, Philadelphia, 7–24.
Calhoun, P. C., and Queen, E. M. (2006). “Entry vehicle control system design for the Mars science laboratory.” J. Spacecraft Rockets, 43(2), 324–329.
Cui, L., and Yang, Y. (2011). “Disturbance rejection and robust least-squares control allocation in flight control system.” J. Guidance Control Dyn., 34(6), 1632–1643.
Doman, D. B., Gamble, B. J., and Ngo, A. D. (2007). “Control allocation of reaction control jets and aerodynamic surfaces for entry vehicles.” AIAA Guidance, Navigation and Control Conf. and Exhibit, American Institute of Aeronautics and Astronautics, Reston, VA.
Doman, D. B., Gamble, B. J., and Ngo, A. D. (2009). “Quantized control allocation of reaction control jets and aerodynamic control surfaces.” J. Guidance Control Dyn., 32(1), 13–24.
Hattis, P. D. (1984). “Qualitative differences between shuttle on-orbit and transition control.” J. Guidance Control Dyn., 7(1), 4–8.
Khalil, H. K. (2002). “Lyapunov stability.” Nonlinear systems, 3rd Ed., Prentice Hall, Upper Saddle River, NJ, 174–180.
Kishore, W. C. A., Sen, S., Gay, G., and Ghoshal, T. K. (2008). “Dynamics control allocation for tracking time-varying control demand.” J. Guidance Control Dyn., 31(4), 1150–1157.
Luo, Y., Serrani, A., Yurkovich, S., Oppenheimer, M. W., and Doman, D. B. (2007). “Model-predictive dynamic control allocation scheme for reentry vehicles.” J. Guidance Control Dyn., 30(1), 100–113.
Marwaha, M., Singh, B., Valasek, J., and Bhattacharya, R. (2009). “Integrated guidance and fault tolerant adaptive control for Mars entry vehicle.” AIAA Guidance, Navigation, and Control Conf., American Institute of Aeronautics and Astronautics, Reston, VA.
Marwaha, M., and Valasek, J. (2011). “Fault-tolerant control allocation for Mars entry vehicle using adaptive control.” Int. J. Adapt. Control Signal Process., 25(2), 95–113.
Paradiso, J. A. (1991). “Adaptable method of managing jets and aerosurfaces for aerospace vehicle control.” J. Guidance Control Dyn., 14(1), 44–50.
Ridgely, D. B., Drake, D., Triplett, L., and Geise, C. (2007). “Dynamic control allocation of a missile with tails and reaction jets.” AIAA Guidance, Navigation and Control Conf. and Exhibit, American Institute of Aeronautics and Astronautics, Reston, VA.
Rockwell International. (1980). “Aerodynamic design data book orbital vehicle STS-1.” Vol. 1M, Milwaukee.
Shertzer, R. H., Zimpfer, D. J., and Brown, P. D. (2002). “Control allocation for the next generation of entry vehicles.” AIAA Guidance, Navigation and Control Conf. and Exhibit, American Institute of Aeronautics and Astronautics, Reston, VA.
Sparks, A., Adams, R., and Banda, S. (1992). “Control law development for the lateral axis of a fighter aircraft.” Proc., AIAA Guidance, Navigation and Control Conf., American Institute of Aeronautics and Astronautics, Reston, VA.
Stevens, B. L., and Lewis, F. L. (1992). “Building the aircraft model.” Aircraft control and simulation, Wiley, New York, 51–112.
Tarbouriech, S., and Gouaisbaut, F. (2012). “Control design for quantized linear systems with saturations.” IEEE Trans. Autom. Control, 57(7), 1883–1889.
Thurman, S. W., and Flashner, H. (1996). “Robust digital autopilot design for spacecraft equipped with pulse-operated thrusters.” J. Guidance Control Dyn., 19(5), 1047–1055.
U.S. Department of Defense. (1990). “Flying qualities of piloted aircraft.” MIL-STD-1797 A, Washington, DC.
Young, J. C., Perez, L. F., Romere, R. O., and Kanipe, D. B. (1981). “Space shuttle entry aerodynamics comparisons of flight 1 with preflight predictions.” AIAA/SETP/SFTE/SAE/ITEA/IEEE 1st Flight Testing Conf., American Institute of Aeronautics and Astronautics, Reston, VA.
Zacharias, G. L. (1974). “A digital autopilot for the space shuttle vehicle.” Master’s thesis, Massachusetts Institute of Technology, Cambridge, MA.
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Published In
Journal of Aerospace Engineering
Volume 28 • Issue 4 • July 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Dec 23, 2013
Accepted: Jun 20, 2014
Published online: Aug 20, 2014
Discussion open until: Jan 20, 2015
Published in print: Jul 1, 2015
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