An efficient vibration control method for large-size space membrane antenna structure is of great practical value and research interest to maintain the on-orbit working performance of the spacecraft. In this paper, a novel cooperative nonlinear vibration control method of membrane antenna structure with piezoelectric and cable actuators is presented. A reduced-order nonlinear dynamic model of the membrane antenna structure is obtained based on the proper orthogonal decomposition (POD) method first. Then, based on the reduced nonlinear dynamic model, a cooperative nonlinear vibration controller that can make the piezoelectric actuators and cable actuators work stably and complementarily is designed. Simulation results show that the reduced-order nonlinear dynamic model can characterize the nonlinear dynamics of the membrane antenna structure effectively, the cooperative controller can achieve better vibration suppression effect with less control effort comparing to conventional control methods, and the proposed cooperative controller is robust to model parameter disturbance, actuator disturbance and sensor disturbance.
AlolyaniaMQHarbKM. Phased array antennas for satellite communications. In: Proceedings of the IEEE 12th Control and System Graduate Research Colloquium. IEEE, 2021.
2.
LiuZQQiuHLiX, et al.Review of large spacecraft deployable membrane antenna structures. Chin J Mech Eng2017; 30: 1447–1459.
3.
LiuTWangXHQiuXM, et al.Theoretical study on the parameter sensitivity over the mechanical states of inflatable membrane antenna. Aero Sci Technol2020; 102: 105843.
4.
RaitGBeasleyD. Large area membrane apertures for space applications, fabrication and mechanical testing. In: Proceedings of the 4th AIAA Spacecraft Structures Conference. IEEE, 2017.
5.
ChandraMKumarSChattopadhyayaS, et al.A review on developments of deployable membrane-based reflector antennas. Adv Space Res2021; 68: 3749–3764.
6.
LiMJLiMLiuYF, et al.A review on the development of spaceborne membrane antennas. Space Sci Technol2022; 2022: 9803603.
7.
LiuXCaiG. Review of dynamics and active control of large-scale space membrane antenna. Astrodyn2024; 8: 1–26.
8.
MangenotCImbrialeWA. Space antenna challenges for future missions, key techniques and technologies. Space Antenna Handbook, 2012, pp. 695–740.
9.
HuangJ. The development of inflatable array antennas. IEEE Antenn Propag Mag2021; 43: 44–50.
CadoganDLinJGrahneM. The development of inflatable space radar reflectarrays. In: Proceedings of the 40th Structures, Structural Dynamics, and Materials Conference and Exhibit, St. Louis, MO, USA, 12 April 1999 - 15 April 1999.
12.
StraubelMBlockJSinapiusM, et al.Deployable composite booms for various gossamer space structures. In: Proceedings of the 52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Denver, Colorado, USA, 04 April 2011 - 07 April 2011.
13.
ShenYMontminySZhengW, et al.Large SAR membrane antenna deployable structure design and dynamic simulation. In: Proceedings of the 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Honolulu, Hawaii, USA, 23 April 2007 - 26 April 2007.
14.
FanLLvLPengF, et al.Coupled structural-electromagnetic modeling and analysis of active membrane phased array antenna. Adv Space Res2020; 66: 760–770.
15.
ShenYZhengWWangX. Dynamic and vibration analysis of a SAR membrane antenna. In: Proceedings of the ASME 2007 International Mechanical Engineering Congress and Exposition, Washington, USA, November 11–15, 2007.
16.
XuRLiDXJiangJP, et al.Adaptive fuzzy vibration control of smart structure with VFIFE modeling. J Mech2015; 31: 671–682.
17.
ShiHWangCLiuL, et al.An active control strategy to suppress nonlinear vibrations of large space membranes. Acta Astronaut2019; 155: 80–89.
18.
ShaoQLuYFangG, et al.Cable-based pattern recognition for close-loop vibration control of membrane antenna. Mech Syst Signal Process2023; 200: 110603.
19.
ShaoQLuYShiC, et al.Hybrid vibration control of the membrane antenna experiencing maneuver with cable actuators. Thin-Walled Struct2023; 192: 111149.
20.
LiuXCaiGPengF, et al.Dynamic model and active vibration control of a membrane antenna structure. J Vib Control2018; 24: 4282–4296.
21.
LiuXZhangHLvL, et al.Wave based active vibration control of a membrane antenna structure. Meccanica2018; 53: 2793–2805.
22.
LiuXCaiGPengF, et al.Nonlinear vibration control of a membrane antenna structure. Proc Inst Mech Eng Part G-J. Aerosp. Eng2019; 233: 3273–3285.
23.
LiuXZhangHLvL, et al.Vibration control of a membrane antenna structure using cable actuators. J Franklin Inst2018; 355: 2424–2435.
24.
LiuXLvLCaiG. Hybrid control of a satellite with membrane antenna considering nonlinear vibration. Aero Sci Technol2021; 117: 106962.
25.
LiuXLvLCaiG. Nonlinear model order reduction and vibration control of a membrane antenna structure. Adv Space Res2023; 71: 5369–5385.
26.
HiramotoK. Cooperative control method of active and semiactive control: new framework for vibration control. Math Probl Eng2014; 1: 518276.
27.
HiramotoKGrigoriadisKM. Active/Semi-active hybrid control for motion and vibration control of mechanical and structural systems. J Vib Control2016; 22: 2704–2718.
28.
AmabiliM. Nonlinear vibrations and stability of shells and plates. Cambridge University Press, 2008.
29.
BanksHTSmithRCWangY. Smart material structures: modeling, estimation, and control. John Wiley and Son Ltd., 1996.
30.
LuKZhangKYZhangHP, et al.A review of model order reduction methods for large-scale structure systems. Shock Vib2021; 2021: 6631180.
31.
RuggieroEJInmanDJ. Modeling and control of a 1-D membrane strip with an integrated PZT bimorph. In: Proceedings of ASME 2005 International Mechanical Engineering Congress and Exposition, Orlando, Florida, November 5–11, 2005.
32.
RuggieroEJInmanDJ. Modeling and vibration control of an active membrane mirror. Smart Mater Struct2009; 18: 095027.
33.
FerhatISultanC. LQR using second order voctor gorm for a membrane with bimorph actuators. In: Proceedings of 23rd AIAA/AHS adaptive structures conference. Kissimmee, 2015.
34.
FerhatISultanC. System analysis and control design for a membrane with bimorph actuator. AIAA J2015; 53: 2110–2120.
35.
LuYAmabiliMWangJ, et al.Active vibration control of a polyvinylidene fluoride laminated membrane plate mirror. J Vib Control2019; 25: 2611–2626.
36.
RennoJMInmanDJChevvaKR. Nonlinear control of a membrane mirror strip actuated axially and in bending. AIAA J2009; 47: 484–493.
