The stable control of warp tension in a carbon fiber three-dimensional (3D) loom plays a decisive role in the performance of 3D woven fabrics. Aiming at nonlinear, time-varying, and strongly coupled characteristics of the warp tension system, the stable control of warp tension is carried out based on fixed-time theory and sliding mode theory. First, the mathematical model of the tension system is established by taking into account the influence of the beating-up mechanism and shedding mechanism as the unmodeled part. Then, according to the characteristics that only warp tension in the system can be measured, the unmodeled part and external disturbance are regarded as a lumped disturbance. After analysis, a fixed-time extended state observer (FESO) is proposed to observe the lumped disturbance and unmeasured system state. Second, relying on the observed results, a novel logarithmic fixed-time fast convergent sliding surface (LF-FCSS) is constructed. Subsequently, based on this sliding surface, a non-singular sliding mode controller (NS-SMC) is designed, which allows the tension tracking error to converge rapidly while weakening the buffeting phenomenon and eliminating the singularity of the controller. Stability proof of the closed-loop system is given theoretically, which ensures that warp tension can be controlled stably. Finally, simulation models are built in Simulink to verify the fast convergence performance of the proposed sliding surface and the effectiveness of the non-singular controller. The superiority of the proposed control strategy is proved by comparing it with the existing methods of sliding mode control in the literature.
ZhaoXZhuJJLiM, et al.
Research on composites application and industrial development suggestion. Mater Rep2016;
30(S1): 525–530.
2.
XuYSunZJMengZ, et al.
Research on yarn tension modeling in carpet tufting equipment system. J Manuf Sci Eng Trans ASME2011;
133(3): 1–4.
3.
XuYSunZJMengZ, et al.
Modeling and analysis on yarn tension of carpet tufting machine. J Text Res2010;
31(12): 116–121.
4.
SengabAPicuRC.Mechanical behavior of carbon nanotube yarns with stochastic microstructure obtained by stretching buckypaper. Compos Sci Technol2018;
166: 54–65.
5.
AnikeJCBelayKAbotJL.Piezoresistive response of carbon nanotube yarns under tension: Parametric effects and phenomenology. New Carbon Mater2018;
33(2): 140–154.
6.
NilakantanGGillespieJW.Yarn pull-out behavior of plain woven Kevlar fabrics: Effect of yarn sizing, pullout rate, and fabric pre-tension. Compos Struct2013;
101: 215–224.
7.
KimSJKimHA.Effect of fabric structural parameters and weaving conditions to warp tension of aramid fabrics for protective garments. Text Res J2018;
88(9): 987–1001.
8.
GheewalaACJariwalaHGheewalaPC. Tension control by servo motor in textile application using electronic let off and electronic take up technique. In: 2017 International Conference on Energy, Communication, Data Analytics and Soft Computing (ICECDS 2017), Chennai, India, 2017; pp. 479–482.
9.
MengFLiuSLiuK.Design of an optimal fractional order PID for constant tension control system. IEEE Access2020;
8: 58933–58939.
10.
XiaoYZhangZLiuZ, et al.
Optimal analysis and application of warp tension control system for a rapier loom. Text Res J2022;
92(7–8): 1213–1225.
11.
XiaoYZhangZLiuZ, et al.
Research on integral separation control of warp tension based on fuzzy parameter optimization. J Intell Fuzzy Syst2021;
41(2): 3031–3044.
12.
AhmadSUppalAAAzamMRIqbalJ.Chattering free sliding mode control and state dependent Kalman filter design for underground gasification energy conversion process. Electronics2023;
12(4): 876.
13.
MayneD.Nonlinear and adaptive control design. IEEE Trans Auto Control2002;
41(12): 1849.
14.
ElsayedBAHassanMAMekhilefS.Decoupled third-order fuzzy sliding model control for cart-inverted pendulum system. Appl Math Inform Sci2013;
7(1): 193–201.
15.
HosseinabadiPAAbadiASSMekhilefS, et al.
Two novel approaches of adaptive finite-time sliding mode control for a class of single-input multiple-output uncertain nonlinear systems. IET Cyber-Syst Robotics2021;
3(02): 173–183.
16.
AfifaRAliSPervaizM, et al.
Adaptive backstepping integral sliding mode control of a MIMO separately excited DC motor. Robotics2023;
12(105): 105
17.
AnjumMBKhanQUllahS, et al.
Maximum power extraction from a standalone photo voltaic system via neuro-adaptive arbitrary order sliding mode control strategy with high gain differentiation. Appl Sci2022;
12(06): 2773
18.
ZhangLWeiCWuR, et al.
Fixed-time extended state observer based non-singular fast terminal sliding mode control for a VTVL reusable launch vehicle. Aerospace Sci Technol2018;
82–83: 70–79.
19.
BartoliniGPuntaEZolezziT.Simplex sliding mode methods for the chattering reduction control of multi-input nonlinear uncertain systems. Automatica2009;
45(8): 1923–1928.
20.
PolyakovA.Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Trans Auto Control2012;
57(8): 2106–2110.
21.
PolyakovAFridmanL.Stability notions and Lyapunov functions for sliding mode control systems. J Franklin Inst2014;
351(4): 1831–1865.
22.
YangYHuaCGuanX.Adaptive fuzzy finite-time coordination control for networked nonlinear bilateral teleoperation system. IEEE Trans Fuzzy Syst2014;
22(3): 631–641.
23.
FengYYuXManZ.Non-singular terminal sliding mode control of rigid manipulators. Automatica2002;
38(12): 2159–2167.
24.
YuSHYuXHShirinzadehBJ, et al.
Continuous finite-time control for robotic manipulators with terminal sliding mode. Automatica2005;
41(11): 1957–1964.
25.
YangLYangJ.Nonsingular fast terminal sliding‐mode control for nonlinear dynamical systems. Int J Robust Nonlin Control2011;
21(16): 1865–1879.
26.
ZuoZY.Non-singular fixed-time terminal sliding mode control of non-linear systems. IET Control Theory Applic2015;
9(4): 545–552.
27.
WangLChaiTZhaiL.Neural-network-based terminal sliding-mode control of robotic manipulators including actuator dynamics. IEEE Trans Indust Electron2009;
56(9): 3296–3304.
28.
HuangYJiaY.Adaptive fixed-time relative position tracking and attitude synchronization control for non-cooperative target spacecraft fly-around mission. J Franklin Inst2017;
354(18): 8461–8489.
29.
PanHZhangGOuyangH, et al.
Novel fixed-time nonsingular fast terminal sliding mode control for second-order uncertain systems based on adaptive disturbance observer. IEEE Access2020;
8: 126615–126627.
30.
PanHZhangG.Observer-based fixed-time control for nonlinear systems with enhanced nonsingular fast terminal sliding mode. J Vibr Control2023;
29(03-04): 858–870.
31.
BaekJMJinMLHanSH.A new adaptive sliding-mode control scheme for application to robot manipulators. IEEE Trans Indust Electron2016;
63(06): 3628–3637.
32.
LiHYShiPYaoDY.Adaptive sliding-mode control of Markov jump nonlinear systems with actuator faults. IEEE Trans Auto Control2017;
62(4): 1933–1939.
33.
GiapVNNguyenQDTrungNK, et al.
Time-varying disturbance observer based on sliding-mode observer and double phases fixed-time sliding mode control for a T-S fuzzy micro-electro-mechanical system gyroscope. J Vibr Control2023;
29: 1927–1942.
34.
HosseinabadiPAAbadiASSSchwartzH, et al.
Fixed-time sliding mode observer-based controller for a class of uncertain nonlinear double integrator systems. Asian J Control2023;
25(05): 3456–3473.
35.
FanYQiuBLiuL, et al.
Global fixed-time trajectory tracking control of underactuated USV based on fixed-time extended state observer. ISA Trans2023;
132: 267–277.
36.
RazmjooeiHPalliGJanabi-SharifiF, et al.
Adaptive fast-finite-time extended state observer design for uncertain electro-hydraulic systems. Eur J Control2023;
69: 100749.
37.
LeeJSeoJChoiJ.Output feedback control design using extended high-gain observers and dynamic inversion with projection for a small scaled helicopter. Automatica2021;
133: 109883.
38.
FuMShenDZhaoG, et al.
Integrated sliding mode intelligent fractional-order backstepping control of warp tension based on fixed-time extended state observer. Text Res J2023;
93(13-14): 3368–3381.
39.
LevantA.Homogeneity approach to high-order sliding mode design. Automatica2005;
41(5): 823–830.
40.
TianBZuoZYanX, et al.
A fixed-time output feedback control scheme for double integrator systems. Automatica2017;
80: 17–24.
41.
ZuoZYTieL.Distributed robust finite-time nonlinear consensus protocols for multi-agent systems. Int J Syst Sci2014;
47(6): 1366–1375.
42.
XuGWZhouRXLiuW, et al.
The equivalent sliding mode tension control of carbon fiber multilayer diagonal loom. Int J Control Auto Syst2019;
17(7): 1762–1769.
43.
LiHCaiY.On SFTSM control with fixed-time convergence. IET Control Theory Applic2017;
11(06): 766–773.
