DMSO Concentration Estimation from a Diffusion Model of PAN-Based Carbon Fibers
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- 英文论文题名：DMSO Concentration Estimation from a Diffusion Model of PAN-Based Carbon Fibers
- 论文作者：Jing Zhang ; Jie Qi ; Dawei Li
- 英文论文作者：Jing Zhang ; Jie Qi ; Dawei Li ; College of Information Science and Technology ; Donghua University ; Engineering Research Center of Digitized Textile and Fashion Technology ; Ministry of Education ; Donghua University
- 年：2017
- 作者机构：College of Information Science and Technology,Donghua University;Engineering Research Center of Digitized Textile and Fashion Technology,Ministry of Education,Donghua University;
- 英文论文关键词：Boundary Observer ; Backstepping ; Diffusion Process ; PAN-based Carbon Fiber
- 会议召开时间：2017-07-26
- 会议录名称：第36届中国控制会议论文集（A）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
- 语种：英文
- 分类号：TQ342.742
- 学会代码：KZLL
- 会议名称：第36届中国控制会议
- 会议地点：中国辽宁大连
- 主办单位：中国自动化学会控制理论专业委员会
- 学会名称：中国自动化学会控制理论专业委员会
- 页数：6
- 文件大小：385k
- 原文格式：D
- 会议级别：全国
摘要
The on-line estimation of the DMSO(Dimethyl Sulphoxide) concentration of PAN-based carbon fibers is of significance to monitoring the quality of carbon fibers during production. In wet-spinning process, large amount of solvent(DMSO)diffuses from the interior of the coagulating fiber into the bath, and large amount of water diffuses in the reverse direction. This process can be modeled by a diffusion partial differential equation(PDE). The diffusion happens uniformly in all directions of the cross section in a cylindrical fiber, so the diffusion model in disk can be simplified to a 1-D PDE along the radial direction.An observer is developed by following backstepping method, which only requires to measure the gradient of the boundary concentration. We prove the designed observer can converge exponentially to the actual system in the norms of L~2 and H~1 by the Lyapunov method. The observer error convergence is also illustrated by numerical simulation results.
The on-line estimation of the DMSO(Dimethyl Sulphoxide) concentration of PAN-based carbon fibers is of significance to monitoring the quality of carbon fibers during production. In wet-spinning process, large amount of solvent(DMSO)diffuses from the interior of the coagulating fiber into the bath, and large amount of water diffuses in the reverse direction. This process can be modeled by a diffusion partial differential equation(PDE). The diffusion happens uniformly in all directions of the cross section in a cylindrical fiber, so the diffusion model in disk can be simplified to a 1-D PDE along the radial direction.An observer is developed by following backstepping method, which only requires to measure the gradient of the boundary concentration. We prove the designed observer can converge exponentially to the actual system in the norms of L~2 and H~1 by the Lyapunov method. The observer error convergence is also illustrated by numerical simulation results.
The on-line estimation of the DMSO(Dimethyl Sulphoxide) concentration of PAN-based carbon fibers is of significance to monitoring the quality of carbon fibers during production. In wet-spinning process, large amount of solvent(DMSO)diffuses from the interior of the coagulating fiber into the bath, and large amount of water diffuses in the reverse direction. This process can be modeled by a diffusion partial differential equation(PDE). The diffusion happens uniformly in all directions of the cross section in a cylindrical fiber, so the diffusion model in disk can be simplified to a 1-D PDE along the radial direction.An observer is developed by following backstepping method, which only requires to measure the gradient of the boundary concentration. We prove the designed observer can converge exponentially to the actual system in the norms of L~2 and H~1 by the Lyapunov method. The observer error convergence is also illustrated by numerical simulation results.
引文
[1]P.Morgan,Carbon fibers and their composites.Boca Raton,Florida:CRC press,2005.
[2]L.Zhang,A.Aboagye,A.Kelkar,and C.Lai,A review:carbon nanofibers from electrospun polyacrylonitrile and their applications.Journal of Materials Science,2014,49(2):463-480.
[3]N.Yusof,A.F.Ismail,Post spinning and pyrolysis processes of polyacrylonitrile(PAN)-based carbon fiber and activated carbon fiber:A review.Journal of Analytical and Applied Pyrolysis,2012,93:1-13.
[4]J.Chen,C.Wang,X.Dong,and H.Liu,Study on the coagulation mechanism of wet-spinning PAN fibers.Journal of Polymer Research,2006,13(6):515-519.
[5]D.R.Paul,Diffusion during the coagulation step of wetspinning.Journal of Applied Polymer Science,1968,12(3):383-402.
[6]A.Rende,A new approach to coagulation phenomena in wetspinning.Journal of Applied Polymer Science,1972,16(3):585-594.
[7]C.Liu,J.A.Cuculo,and B.Smith,Coagulation studies for cellulose in the ammonia/ammonium thiocyanate(NH3/NH4SCN)direct solvent system.Journal of Polymer Science Part B:Polymer Physics,1989,27(12):2493-2511.
[8]B.J.Qian,P.Ding,and Z.Q.Wu,The mechanism and characterstics of dry-jet wet-spinning of acrylic fibers.Advances in Polymer Technology,1986,6(4):509-529.
[9]S.C.Oh,Y.S.Wang,and Y.K.Yeo,Modeling and simulation of the coagulation process of poly(acrylonitrile)wet-spinning.Industrial&engineering chemistry research,1996,35(12):4796-4800.
[10]M.Krstic,A.Smyshlyaev,Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays.Systems&Control Letters,2008,57(9):750-758.
[11]J.Qi,R.Vazquez,and M.Krstic,Multi-agent deployment in3-D via PDE control.IEEE Trans.on Automatic Control,2015,60(4):891-906.
[12]S.J.Moura,N.A.Chaturvedi,and M.Krstic,Adaptive partial differential equation observer for battery state-of-charge/stateof-health estimation via an electrochemical model.Journal of Dynamic Systems,Measurement,and Control,2014,136(1):011015.
[13]A.Smyshlyaev,M.Krstic,Backstepping observers for a class of parabolic PDEs.Systems&Control Letters,2005,54(7):613-625.
[14]R.Vazquez,M.Krstic,Boundary observer for outputfeedback stabilization of thermal-fluid convection loop.IEEE Trans.on Control Systems Technology,2010,18(4):789-797.
[15]L.Jadachowski,T.Meurer,and A.Kugi,Backstepping observers for linear PDEs on higher-dimensional spatial domains.Automatica,2015,51:85-97.
[16]N.Bouton,R.Lenain,B.Thuilot,and P.Martinet,Backstepping observer dedicated to tire cornering stiffness estimation:Application to an all terrain vehicle and a farm tractor,in 2007IEEE/RSJ International Conference on Intelligent Robots and Systems,2007:1763-1768.
[17]M.MInus,S.Kumar,The processing,properties,and structure of carbon fibers.Jom,2005,57(2):52-58.
[18]X.G.Dong,C.G.Wang,and C.Juan,Study on the coagulation process of polyacrylonitrile nascent fibers during wetspinning.Polymer Bulletin,2007,58(5-6):1005-1012.
[19]M.Krstic,A.Smyshlyaev,Boundary control of PDEs:A course on backstepping designs.Siam,2008.
[20]J.Qi,C.Wang,and F.Pan.Boundary Observer and Outputfeedback Control for a Class of n-dimensional Symmetric Advection-diffusion Equations.ACTA AUTOMATICA SINICA,2015,41(7):1356-1364.
[21]M.C.Lai,A note on finite difference discretizations for Poisson equation on a disk.Numerical Methods for Partial Differential Equations,2001,17(3):199-203.
[22]R.J.Le Veque,Finite difference methods for ordinary and partial differential equations:steady-state and time-dependent problems,in Siam,2007:31–32.
[2]L.Zhang,A.Aboagye,A.Kelkar,and C.Lai,A review:carbon nanofibers from electrospun polyacrylonitrile and their applications.Journal of Materials Science,2014,49(2):463-480.
[3]N.Yusof,A.F.Ismail,Post spinning and pyrolysis processes of polyacrylonitrile(PAN)-based carbon fiber and activated carbon fiber:A review.Journal of Analytical and Applied Pyrolysis,2012,93:1-13.
[4]J.Chen,C.Wang,X.Dong,and H.Liu,Study on the coagulation mechanism of wet-spinning PAN fibers.Journal of Polymer Research,2006,13(6):515-519.
[5]D.R.Paul,Diffusion during the coagulation step of wetspinning.Journal of Applied Polymer Science,1968,12(3):383-402.
[6]A.Rende,A new approach to coagulation phenomena in wetspinning.Journal of Applied Polymer Science,1972,16(3):585-594.
[7]C.Liu,J.A.Cuculo,and B.Smith,Coagulation studies for cellulose in the ammonia/ammonium thiocyanate(NH3/NH4SCN)direct solvent system.Journal of Polymer Science Part B:Polymer Physics,1989,27(12):2493-2511.
[8]B.J.Qian,P.Ding,and Z.Q.Wu,The mechanism and characterstics of dry-jet wet-spinning of acrylic fibers.Advances in Polymer Technology,1986,6(4):509-529.
[9]S.C.Oh,Y.S.Wang,and Y.K.Yeo,Modeling and simulation of the coagulation process of poly(acrylonitrile)wet-spinning.Industrial&engineering chemistry research,1996,35(12):4796-4800.
[10]M.Krstic,A.Smyshlyaev,Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays.Systems&Control Letters,2008,57(9):750-758.
[11]J.Qi,R.Vazquez,and M.Krstic,Multi-agent deployment in3-D via PDE control.IEEE Trans.on Automatic Control,2015,60(4):891-906.
[12]S.J.Moura,N.A.Chaturvedi,and M.Krstic,Adaptive partial differential equation observer for battery state-of-charge/stateof-health estimation via an electrochemical model.Journal of Dynamic Systems,Measurement,and Control,2014,136(1):011015.
[13]A.Smyshlyaev,M.Krstic,Backstepping observers for a class of parabolic PDEs.Systems&Control Letters,2005,54(7):613-625.
[14]R.Vazquez,M.Krstic,Boundary observer for outputfeedback stabilization of thermal-fluid convection loop.IEEE Trans.on Control Systems Technology,2010,18(4):789-797.
[15]L.Jadachowski,T.Meurer,and A.Kugi,Backstepping observers for linear PDEs on higher-dimensional spatial domains.Automatica,2015,51:85-97.
[16]N.Bouton,R.Lenain,B.Thuilot,and P.Martinet,Backstepping observer dedicated to tire cornering stiffness estimation:Application to an all terrain vehicle and a farm tractor,in 2007IEEE/RSJ International Conference on Intelligent Robots and Systems,2007:1763-1768.
[17]M.MInus,S.Kumar,The processing,properties,and structure of carbon fibers.Jom,2005,57(2):52-58.
[18]X.G.Dong,C.G.Wang,and C.Juan,Study on the coagulation process of polyacrylonitrile nascent fibers during wetspinning.Polymer Bulletin,2007,58(5-6):1005-1012.
[19]M.Krstic,A.Smyshlyaev,Boundary control of PDEs:A course on backstepping designs.Siam,2008.
[20]J.Qi,C.Wang,and F.Pan.Boundary Observer and Outputfeedback Control for a Class of n-dimensional Symmetric Advection-diffusion Equations.ACTA AUTOMATICA SINICA,2015,41(7):1356-1364.
[21]M.C.Lai,A note on finite difference discretizations for Poisson equation on a disk.Numerical Methods for Partial Differential Equations,2001,17(3):199-203.
[22]R.J.Le Veque,Finite difference methods for ordinary and partial differential equations:steady-state and time-dependent problems,in Siam,2007:31–32.
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