journal article Open Access Oct 27, 2024

Test Mass Capture Control for Drag-Free Satellite Based on State-Dependent Riccati Equation Method

Actuators Vol. 13 No. 11 pp. 434 · MDPI AG
View at Publisher Save 10.3390/act13110434
Abstract
The drag-free satellite plays an important role in the space-based gravitational wave observatory. The capture control of test mass after release is a crucial technology that can affect the success of the mission. The test mass must be released to the center of the electrostatic suspension cage accurately. This paper presents a nonlinear dynamic model of drag-free satellites in Lagrange formalism. A capture control scheme for test mass release phase is proposed based on the state-dependent Riccati equation (SDRE) strategy. To deal with the actuator saturation problem, a nonlinear saturation model is introduced to the dynamics of satellite, while the SDRE strategy is applied to the non-affine system. The effectiveness of the proposed methodology is verified by the numerical simulation for the drag-free satellite.
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References
41
[1]
Advanced LIGO

J Aasi, B. P. Abbott, R. Abbott et al.

Classical and Quantum Gravity 2015 10.1088/0264-9381/32/7/074001
[2]
Contaldi "LISA Cosmology Working Group Maximum likelihood map making with the Laser Interferometer Space Antenna" Phys. Rev. D (2020) 10.1103/physrevd.102.043502
[3]
Barausse "Prospects for fundamental physics with LISA" Gen. Relativ. Gravit. (2020) 10.1007/s10714-020-02691-1
[4]
Liu "The Development of phasemeter for taiji space gravitational wave detection" Micrograv. Sci. Technol. (2018) 10.1007/s12217-018-9625-6
[5]
Ruan "Taiji program: Gravitational-wave sources" Int. J. Mod. Phys. A (2020) 10.1142/s0217751x2050075x
[6]
Luo "TianQin: A space-borne gravitational wave detector" Class. Quant. Grav. (2016) 10.1088/0264-9381/33/3/035010
[7]
Laser interferometry for the Big Bang Observer

Gregory M Harry, Peter Fritschel, Daniel A Shaddock et al.

Classical and Quantum Gravity 2006 10.1088/0264-9381/23/15/008
[8]
Sato "The Status of DECIGO" J. Phys. Conf. Ser. (2017) 10.1088/1742-6596/840/1/012010
[9]
Geng "Gravitational-wave constraints on the cosmic opacity at z ∼ 5: Forecast from space gravitational-wave antenna DECIGO" Astrophys. J. (2020) 10.3847/1538-4357/abc076
[10]
McKenzie, K., Spero, R., Klipstein, W., de Vine, G., Ware, B., Vallisneri, M., Cutler, C., Ziemer, J., Shaddock, D., and Skoug, R. (2011, January 20). LAGRANGE: A space-based gravitational-wave detector with geometric suppression of spacecraft noise. Presented at the Workshop on Gravitational Wave Mission Concepts, Linthicum, MD, USA.
[11]
Caprini "Detecting gravitational waves from cosmological phase transitions with LISA: An update" J. Cosmol. Astropart. Phys. (2020) 10.1088/1475-7516/2020/03/024
[12]
Zanoni "Summary of the results of the LISA-Pathfinder Test Mass release" J. Phys. Conf. Ser. (2015) 10.1088/1742-6596/610/1/012022
[13]
Koker, I., Rozemeijer, H., Stary, F., and Reichenberger, K. (2013, January 25–27). Alignment and testing of the GPRM as part of the LTP caging mechanism. Proceedings of the 15th European Space Mechanisms and Tribology Symposium, Noordwijk, The Netherlands.
[14]
Zanoni, C., Bortoluzzi, D., Conklin, J.W., Köker, I., Marirrodriga, C.G., Nellen, P.M., and Vitale, S. (2013, January 25–27). Testing the injection of the LISA-pathfinder test mass into geodesic conditions. Proceedings of the 15th European Space Mechanism and Tribology Symposium (ESMATS), Noordwijk, The Netherlands.
[15]
Schleicher "In-orbit performance of the LISA Pathfinder drag-free and attitude control system" CEAS Space J. (2018) 10.1007/s12567-018-0204-x
[16]
Bortoluzzi "Modeling and identification of an electro-mechanical system: The LISA grabbing positioning and release mechanism case" Adv. Space Res. (2011) 10.1016/j.asr.2010.09.004
[17]
Benedetti "A Momentum transfer measurement technique between contacting free-falling bodies in the presence of adhesion" J. Appl. Mech. (2008) 10.1115/1.2755104
[18]
Bortoluzzi "Prediction of the LISA-Pathfinder release mechanism in-flight performance" Adv. Space Res. (2013) 10.1016/j.asr.2012.11.001
[19]
Bortoluzzi "Dynamic measurements of impulses generated by the separation of adhered bodies under near-zero gravity conditions" Exp. Mech. (2008) 10.1007/s11340-007-9115-z
[20]
Montemurro "Control Design of the test mass release mode for the lisa pathfinder mission" AIP Conf. Proc. (2006) 10.1063/1.2405103
[21]
Capicchiano, L. (2020). Test Mass Release for LISA ESA Mission–Control Design and MonteCarlo Analysis. [Doctoral Dissertation, Politecnico di Torino].
[22]
Test mass capture for drag-free satellite based on RBF neural network adaptive sliding mode control

Xiaobin Lian, Jinxiu Zhang, Lantian Chang et al.

Advances in Space Research 2021 10.1016/j.asr.2021.10.009
[23]
Vidano, S., Novara, C., Grzymisch, J., and Pagone, M. (2020, January 12–14). The LISA DFACS: Preliminary model predictive control for the test mass release phase. Proceedings of the 71st International Astronautical Congress, Online.
[24]
Gioia, A. (2020). Time-Optimal Electrostatic Control and Capture of a Free-Falling Test Mass. [Doctoral Dissertation, Politecnico di Milano].
[25]
Lin "Minimum-time control for the test mass release phase of drag-free spacecraft" Space Sci. Technol. (2024) 10.34133/space.0151
[26]
Bai, S., Wang, Y., Liu, H., and Sun, X. (2024). Spacecraft fast fly-around formations design using the parallelogram configuration. Nonlinear Dynamics, Springer Nature. 10.1007/s11071-024-10298-3
[27]
Zhou "Parametric formation control of multiple nanosatellites for cooperative observation of China Space Station" Astrodynamics (2024) 10.1007/s42064-023-0173-5
[28]
"State-Dependent Riccati Equation (SDRE) Control: A Survey" IFAC Proc. Vol. (2008) 10.3182/20080706-5-kr-1001.00635
[29]
Chen "Review of attitude consensus of multiple spacecraft" Astrodynamics (2022) 10.1007/s42064-022-0142-4
[30]
Sun "Non-cooperative spacecraft proximity control considering target behavior uncertainty" Astrodynamics (2022) 10.1007/s42064-022-0133-5
[31]
Cloutier, J., and Stansbery, D. (1999, January 22–27). Control of a Continuously Stirred Tank Reactor Using an Asymmetric Solution of the State-Dependent Riccati Equation. Proceedings of the Conference on Control Applications, Kohala Coast, HI, USA.
[32]
Stansbery, D.T., and Cloutier, J.R. (2000, January 28–30). Position and attitude control of a spacecraft using the state-dependent Riccati equation technique. Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), Chicago, IL, USA. 10.1109/acc.2000.879525
[33]
Vidano "The LISA DFACS: A nonlinear model for the spacecraft dynamics" Aerosp. Sci. Technol. (2020) 10.1016/j.ast.2020.106313
[34]
An, J.H., and Kim, H.S. (2024). Interval Type-2 Fuzzy-Model-Based Sampled-Data Control of an AUV Depth System with Input Saturation. Actuators, 13. 10.3390/act13020071
[35]
Wu, J., Li, B., Li, J., Li, M., and Yang, B. (2024). Global Stabilization of Control Systems with Input Saturation and Multiple Input Delays. Actuators, 13. 10.3390/act13080306
[36]
Zhou, Y., Liu, H., and Guo, H. (2024). L1 Adaptive Fault-Tolerant Control for Nonlinear Systems Subject to Input Constraint and Multiple Faults. Actuators, 13. 10.3390/act13070258
[37]
Geranmehr "Nonlinear observer based optimal control via state-dependent Riccati equation for a class of non-affine in control systems" J. Control Eng. Appl. Inf. (2014)
[38]
Georgevic, R.M. (1971). Mathematical Model of the Solar Radiation Force and Torques Acting on the Components of a Spacecraft, Technical Report for NASA JPL.
[39]
Merkowitz "Self-gravity modelling for LISA" Class. Quant. Grav. (2005) 10.1088/0264-9381/22/10/035
[40]
Bortoluzzi, D., Armano, M., Audley, H., Auger, G., Baird, J., Binetruy, P., Born, M., Bortoluzzi, D., Brandt, N., and Bursi, A. (2016, January 4–6). Injection of a Body into a Geodesic: Lessons Learnt from the LISA Pathfinder Case. Proceedings of the 43rd Aerospace Mechanisms Symposium, Santa Clara, CA, USA.
[41]
Virdis, M. (2021). A Meteoroid Impact Recovery Control System for the LISA Gravitational Wave Observatory. [Doctoral Dissertation, Politecnico di Torino].