Active Vibration Control of Flexible Satellites Using Solid Propellant Microthruster Array
Publication: Journal of Aerospace Engineering
Volume 31, Issue 2
Abstract
The paper studies a method which uses a solid propellant microthruster array (SPMA) as an actuator to control vibration of solar panels and the attitude of a satellite simultaneously. To solve the controller design problems of the system with periodic switching characteristic, which is caused by the mismatch between the solid propellant microthruster combustion duration and the digital control system sampling period, Floquet theory is used to obtain an equivalent time-invariant model. Based on the state-dependent Riccati equation method, an optimal antisaturation controller is designed to overcome the saturation problem of the attitude flywheel which occurs in the cooperation with the SPMA actuator. In terms of the input quantization problem of the SPMA actuator, a switching strategy is proposed to achieve global asymptotic stability. Comparison of the numerical results for SPMA and piezoelectric actuators show that the SPMA actuator can suppress the low-frequency vibration much more quickly. Finally, a Monte Carlo approach is used to investigate the robustness of the controller and the switching strategy with respect to model uncertainties.
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Acknowledgments
This work was supported by the National Basic Research Program of China [973-19001(0).13].
References
Allen, M., Bernelli-Zazzera, F., and Scattolini, R. (2000). “Sliding mode control of a large flexible space structure.” Control Eng. Pract., 8(8), 861–871.
Branicky, M. S. (1998). “Multiple Lyapunov functions and other analysis tools for switched and hybrid systems.” IEEE Trans. Autom. Control, 43(4), 475–482.
Casella, F., Locatelli, A., and Schiavoni, N. (1996). “Nonlinear controllers for vibration suppression in a large flexible structure.” Control Eng. Pract., 4(6), 791–806.
Chopra, I. (2002). “Review of state of art of smart structures and integrated systems.” AIAA J., 40(11), 2145–2187.
Çimen, T. (2008). “State-dependent Riccati equation (SDRE) control: A survey.” IFAC Proc. Volumes, 41(2), 3761–3775.
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.
Escareno, J.-A., Rakotondrabe, M., and Habineza, D. (2015). “Backstepping-based robust-adaptive control of a nonlinear 2-DOF piezoactuator.” Control Eng. Pract., 41, 57–71.
Ferrante, F., Gouaisbaut, F., and Tarbouriech, S. (2015). “Stabilization of continuous-time linear systems subject to input quantization.” Automatica, 58, 167–172.
Gasbarri, P., Monti, R., and Sabatini, M. (2014a). “Very large space structures: Non-linear control and robustness to structural uncertainties.” Acta Astronaut., 93, 252–265.
Gasbarri, P., Sabatini, M., Leonangeli, N., and Palmerini, G. B. (2014b). “Flexibility issues in discrete on-off actuated spacecraft: Numerical and experimental tests.” Acta Astronaut., 101(1), 81–97.
Gökçek, C. (2004). “Stability analysis of periodically switched linear systems using Floquet theory.” Math. Prob. Eng., 2004(1), 1–10.
Halim, D., and Reza Moheimani, S. O. (2003). “An optimization approach to optimal placement of collocated piezoelectric actuators and sensors on a thin plate.” Mechatronics, 13(1), 27–47.
Hespanha, J. P., and Morse, A. S. (1999). “Stability of switched systems with average dwell-time.” Proc., 38th IEEE Conf. on Decision and Control (Cat. No. 99CH36304), IEEE, Washington, DC, 2655–2660.
Hu, Q. (2010). “Sliding mode attitude control with L2-gain performance and vibration reduction of flexible spacecraft with actuator dynamics.” Acta Astronaut., 67(5–6), 572–583.
Hu, Q., Jia, Y., and Xu, S. (2014). “Dynamics and vibration suppression of space structures with control moment gyroscopes.” Acta Astronaut., 96, 232–245.
Hu, Q., and Ma, G. (2005). “Vibration suppression of flexible spacecraft during attitude maneuvers.” J. Guidance Control Dyn., 28(2), 377–380.
Hu, Q., and Xiao, B. (2010). “Robust adaptive backstepping attitude stabilization and vibration reduction of flexible spacecraft subject to actuator saturation.” J. Vibr. Control, 17(11), 1657–1671.
Irschik, H. (2002). “A review on static and dynamic shape control of structures by piezoelectric actuation.” Eng. Struct., 24(1), 5–11.
Karpelson, M., Wei, G., and Wood, R. J. (2012). “Driving high voltage piezoelectric actuators in microrobotic applications.” Sens. Actuators A: Phys., 176, 78–89.
Korayem, M. H., and Nekoo, S. R. (2015). “Finite-time state-dependent Riccati equation for time-varying nonaffine systems: Rigid and flexible joint manipulator control.” ISA Trans., 54, 125–144.
Korkmaz, S. (2011). “A review of active structural control: Challenges for engineering informatics.” Comput. Struct., 89(23–24), 2113–2132.
Liu, X., Li, T., Li, Z., Ma, H., and Fang, S. (2015). “Design, fabrication and test of a solid propellant microthruster array by conventional precision machining.” Sens. Actuators A: Phys., 236, 214–227.
McMickell, M. B., Kreider, T., Hansen, E., Davis, T., and Gonzalez, M. (2007). “Optical payload isolation using the miniature vibration isolation system (MVIS-II).” Proc., Industrial and Commercial Applications of Smart Structures Technologies, L. P. Davis, B. K. Henderson, and M. B. McMickell, eds., SPIE, Bellingham, WA.
Modi, V. J. (1974). “Attitude dynamics of satellites with flexible appendages—A brief review.” J. Spacecraft Rockets, 11(11), 743–751.
Mracek, C. P., and Cloutier, J. R. (1998). “Control designs for the nonlinear benchmark problem via the state-dependent Riccati equation method.” Int. J. Robust Nonlinear Control, 8(4–5), 401–433.
Oh, H.-U., and Onoda, J. (2002). “An experimental study of a semiactive magneto-rheological fluid variable damper for vibration suppression of truss structures.” Smart Mater. Struct., 11(1), 156–162.
Riedinger, P., Kratz, F., Iung, C., and Zanne, C. (1999). “Linear quadratic optimization for hybrid systems.” Proc., 38th IEEE Conf. on Decision and Control (Cat. No. 99CH36304), IEEE, Washington, DC, 3059–3064.
Rupitsch, S. J., Wolf, F., Sutor, A., and Lerch, R. (2012). “Reliable modeling of piezoceramic materials utilized in sensors and actuators.” Acta Mech., 223(8), 1809–1821.
Sabatini, M., Gasbarri, P., and Palmerini, G. B. (2015). “Delay compensation for controlling flexible space multibodies: Dynamic modeling and experiments.” Control Eng. Pract., 45, 147–162.
Sobiesiak, L. A., and Damaren, C. J. (2015). “Optimal continuous/impulsive control for Lorentz-augmented spacecraft formations.” J. Guid. Control Dyn., 38(1), 151–157.
Sparks, J. D. W., and Juang, J. (1992). “Survey of experiments and experimental facilities for control of flexible structures.” J. Guid. Control Dyn., 15(4), 801–816.
Stansbery, D., and Cloutier, J. (2001). “Nonlinear, hybrid bank-to-turn/skid-to-turn missile autopilot design.” AIAA Guidance, Navigation, and Control Conf. and Exhibit, American Institute of Aeronautics and Astronautics, Reston, VA.
Sullivan, L. A., Erwin, R. S., and Denoyer, K. K. (2000). “Experiences with smart structures for on-orbit vibration isolation.” Proc., Smart Structures and Materials 2000: Industrial and Commercial Applications of Smart Structures Technologies, J. H. Jacobs, ed., SPIE, Bellingham, WA, 122–130.
Sullivan, L. A., Fuentes, R. J., Erwin, R. S., Babuska, V., and Anderson, E. H. (2003). “On-orbit active vibration isolation: The satellite ultraquiet isolation technologies experiment (SUITE).” Proc., AIAA Space 2003, AIAA, Reston, VA.
Tanaka, S., et al. (2003). “MEMS-based solid propellant rocket array thruster with electrical feedthroughs.” Trans. Jpn. Soc. Aeronaut. Space Sci., 46(151), 47–51.
Tuttle, T. D., and Seering, W. P. (1997). “Experimental verification of vibration reduction in flexible spacecraft using input shaping.” J. Guid. Control Dyn., 20(4), 658–664.
Vatankhahghadim, B., and Damaren, C. J. (2016). “Optimal combination of magnetic attitude control with impulsive thrusting.” J. Guid. Control Dyn., 39(10), 2391–2398.
Winthrop, M. F., and Cobb, R. G. (2003). “Survey of state-of-the-art vibration isolation research and technology for space applications.” Proc., Smart Structures and Materials 2003: Damping and Isolation, SPIE, Bellingham, WA, 13–26.
Xu, X., and Antsaklis, P. J. (2004). “Optimal control of switched systems based on parameterization of the switching instants.” Autom. Control, IEEE Trans., 49(1), 2–16.
Youngner, D. W., et al. (2000). “MEMS mega-pixel micro-thruster arrays for small satellite stationkeeping.” 14th Annual/USU Conf. on Small Satellite (SSC00-X-2), Utah State Univ., Logan, UT, 1–8.
Zhang, G. (2000). “Vibration suppression control of robot arms using a homogeneous-type electrorheological fluid.” IEEE/ASME Trans. Mechatron., 5(3), 302–309.
Zhang, T., Li, G., Xiu, C. J., Yu, Y. S., and Liu, X. H. (2016). “Effect of wall heat transfer characteristic on the micro solid thruster based on the AP/HTPB aerospace propellant.” Vacuum, 134, 9–19.
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Published In
Journal of Aerospace Engineering
Volume 31 • Issue 2 • March 2018
Copyright
©2017 American Society of Civil Engineers.
History
Received: Apr 11, 2017
Accepted: Jul 6, 2017
Published online: Nov 27, 2017
Published in print: Mar 1, 2018
Discussion open until: Apr 27, 2018
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