메뉴 건너뛰기




Volumn 63, Issue 5, 2008, Pages 1246-1260

Low-order ODE approximations and receding horizon control of surface roughness during thin-film growth

Author keywords

Model reduction; Multiscale modeling; Receding horizon control; Surface roughness; System identification; Thin film growth

Indexed keywords

APPROXIMATION THEORY; DYNAMIC MODELS; IDENTIFICATION (CONTROL SYSTEMS); SURFACE ROUGHNESS;

EID: 38149065199     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2007.07.058     Document Type: Article
Times cited : (10)

References (58)
  • 1
    • 0036606109 scopus 로고    scopus 로고
    • Macro- and micro-scale simulation of growth rate and composition in MOCVD of Yttria-stabilized zirconia
    • Akiyama Y., Imaishi N., Shin Y.S., and Jung S.C. Macro- and micro-scale simulation of growth rate and composition in MOCVD of Yttria-stabilized zirconia. Journal of Crystal Growth 241 (2002) 352-362
    • (2002) Journal of Crystal Growth , vol.241 , pp. 352-362
    • Akiyama, Y.1    Imaishi, N.2    Shin, Y.S.3    Jung, S.C.4
  • 2
    • 15944388626 scopus 로고    scopus 로고
    • Output feedback control of dissipative distributed processes via microscopic simulations
    • Armaou A. Output feedback control of dissipative distributed processes via microscopic simulations. Computers & Chemical Engineering 29 (2005) 771-782
    • (2005) Computers & Chemical Engineering , vol.29 , pp. 771-782
    • Armaou, A.1
  • 3
    • 0033167354 scopus 로고    scopus 로고
    • Plasma-enhanced chemical vapor deposition: modeling and control
    • Armaou A., and Christofides P.D. Plasma-enhanced chemical vapor deposition: modeling and control. Chemical Engineering Science 54 (1999) 3305-3314
    • (1999) Chemical Engineering Science , vol.54 , pp. 3305-3314
    • Armaou, A.1    Christofides, P.D.2
  • 4
    • 0036899040 scopus 로고    scopus 로고
    • Dynamic optimization of dissipative PDE systems using nonlinear order reduction
    • Armaou A., and Christofides P.D. Dynamic optimization of dissipative PDE systems using nonlinear order reduction. Chemical Engineering Science 57 (2002) 5083-5114
    • (2002) Chemical Engineering Science , vol.57 , pp. 5083-5114
    • Armaou, A.1    Christofides, P.D.2
  • 5
    • 0035911625 scopus 로고    scopus 로고
    • Feedback control of plasma etching reactors for improved etching uniformity
    • Armaou A., Baker J., and Christofides P.D. Feedback control of plasma etching reactors for improved etching uniformity. Chemical Engineering Science 56 (2001) 257-265
    • (2001) Chemical Engineering Science , vol.56 , pp. 257-265
    • Armaou, A.1    Baker, J.2    Christofides, P.D.3
  • 9
    • 33749612469 scopus 로고
    • Representations of probability distributions by Charlier series
    • Boas R.P. Representations of probability distributions by Charlier series. The Annals of Mathematical Statistics 20 3 (1949) 376-392
    • (1949) The Annals of Mathematical Statistics , vol.20 , Issue.3 , pp. 376-392
    • Boas, R.P.1
  • 11
    • 0031366767 scopus 로고    scopus 로고
    • Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds
    • Christofides P.D., and Daoutidis P. Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds. Journal of Mathematical Analysis & Applications 216 (1997) 398-420
    • (1997) Journal of Mathematical Analysis & Applications , vol.216 , pp. 398-420
    • Christofides, P.D.1    Daoutidis, P.2
  • 12
    • 0009466250 scopus 로고
    • Step stability, domain coverage, and nonequilibrium kinetics in Si(0 0 1) molecular-beam epitaxy
    • Clarke S., Wilby M.R., Vvedensky D.D., Kuwamura T., Miki K., and Tokumoto H. Step stability, domain coverage, and nonequilibrium kinetics in Si(0 0 1) molecular-beam epitaxy. Physical Review B 41 (1990) 10198-10201
    • (1990) Physical Review B , vol.41 , pp. 10198-10201
    • Clarke, S.1    Wilby, M.R.2    Vvedensky, D.D.3    Kuwamura, T.4    Miki, K.5    Tokumoto, H.6
  • 16
    • 38149083935 scopus 로고    scopus 로고
    • Favoreel, W., 1999. Subspace methods for identification and control of linear and bilinear systems. Ph.D. Thesis, Katholieke Universiteit Leuven, Belgium.
  • 18
    • 0033888152 scopus 로고    scopus 로고
    • Subspace state space system identification for industrial processes
    • Favoreel W., Moor B.D., and Overschee P.V. Subspace state space system identification for industrial processes. Journal of Process Control 10 (2000) 149-155
    • (2000) Journal of Process Control , vol.10 , pp. 149-155
    • Favoreel, W.1    Moor, B.D.2    Overschee, P.V.3
  • 19
    • 2942558925 scopus 로고    scopus 로고
    • Fractal topography of surfaces exposed to gas-cluster ion beams and modeling simulations
    • Fenner D.B. Fractal topography of surfaces exposed to gas-cluster ion beams and modeling simulations. Journal of Applied Physics 95 (2004) 5408-5418
    • (2004) Journal of Applied Physics , vol.95 , pp. 5408-5418
    • Fenner, D.B.1
  • 20
    • 36448998595 scopus 로고
    • Theoretical foundations of dynamical Monte Carlo simulations
    • Fichthorn K.A., and Weinberg W.H. Theoretical foundations of dynamical Monte Carlo simulations. Journal of Chemical Physics 95 (1991) 1090-1096
    • (1991) Journal of Chemical Physics , vol.95 , pp. 1090-1096
    • Fichthorn, K.A.1    Weinberg, W.H.2
  • 21
    • 0346685924 scopus 로고    scopus 로고
    • Reduction and identification methods for Markovian control systems, with application to thin film deposition
    • Gallivan M.A., and Murray R.M. Reduction and identification methods for Markovian control systems, with application to thin film deposition. International Journal of Robust & Nonlinear Control 14 (2004) 113-132
    • (2004) International Journal of Robust & Nonlinear Control , vol.14 , pp. 113-132
    • Gallivan, M.A.1    Murray, R.M.2
  • 22
    • 3142710385 scopus 로고    scopus 로고
    • Stochastic models that separate fractal dimension from the Hurst effect
    • Gneiting T., and Schlather M. Stochastic models that separate fractal dimension from the Hurst effect. SIAM Review 46 (2004) 269-282
    • (2004) SIAM Review , vol.46 , pp. 269-282
    • Gneiting, T.1    Schlather, M.2
  • 23
    • 3843074172 scopus 로고    scopus 로고
    • Examples when nonlinear model predictive control is nonrobust
    • Grimm G., Messina M.J., Tuna S.E., and Teel A.R. Examples when nonlinear model predictive control is nonrobust. Automatica 40 (2005) 1729-1738
    • (2005) Automatica , vol.40 , pp. 1729-1738
    • Grimm, G.1    Messina, M.J.2    Tuna, S.E.3    Teel, A.R.4
  • 24
    • 0032455115 scopus 로고    scopus 로고
    • Nonlinear model predictive control: current status and future directions
    • Henson M.A. Nonlinear model predictive control: current status and future directions. Computers & Chemical Engineering 23 (1998) 187-202
    • (1998) Computers & Chemical Engineering , vol.23 , pp. 187-202
    • Henson, M.A.1
  • 25
    • 0035136893 scopus 로고    scopus 로고
    • Anisotropic island growth during submonolayer epitaxy
    • Heyn C. Anisotropic island growth during submonolayer epitaxy. Physical Review B 63 (2001) 033403
    • (2001) Physical Review B , vol.63 , pp. 033403
    • Heyn, C.1
  • 26
    • 0000007742 scopus 로고
    • Systems of polynomials connected with Charlier expansions and the Pearson differential and difference equations
    • Hildebrandt E.H. Systems of polynomials connected with Charlier expansions and the Pearson differential and difference equations. The Annals of Mathematical Statistics 2 (1931) 379-439
    • (1931) The Annals of Mathematical Statistics , vol.2 , pp. 379-439
    • Hildebrandt, E.H.1
  • 28
    • 0033359745 scopus 로고    scopus 로고
    • Monte carlo simulation of homoepitaxial growth on two-component compound semiconductor surfaces
    • Ishii A., and Kawamura T. Monte carlo simulation of homoepitaxial growth on two-component compound semiconductor surfaces. Surface Science 436 (1999) 38-50
    • (1999) Surface Science , vol.436 , pp. 38-50
    • Ishii, A.1    Kawamura, T.2
  • 31
    • 0037962061 scopus 로고    scopus 로고
    • Estimation and control of surface roughness in thin film growth using kinetic Monte-Carlo methods
    • Lou Y., and Christofides P.D. Estimation and control of surface roughness in thin film growth using kinetic Monte-Carlo methods. Chemical Engineering Science 58 (2003) 3115-3129
    • (2003) Chemical Engineering Science , vol.58 , pp. 3115-3129
    • Lou, Y.1    Christofides, P.D.2
  • 32
    • 12244249188 scopus 로고    scopus 로고
    • Feedback control of surface roughness using stochastic PDEs
    • Lou Y., and Christofides P.D. Feedback control of surface roughness using stochastic PDEs. A.I.Ch.E. Journal 51 (2005) 345-352
    • (2005) A.I.Ch.E. Journal , vol.51 , pp. 345-352
    • Lou, Y.1    Christofides, P.D.2
  • 33
    • 33750427024 scopus 로고    scopus 로고
    • Nonlinear feedback control of surface roughness using a stochastic PDE: design and application to a sputtering process
    • Lou Y., and Christofides P.D. Nonlinear feedback control of surface roughness using a stochastic PDE: design and application to a sputtering process. Industrial & Engineering Chemistry Research 45 (2006) 7177-7189
    • (2006) Industrial & Engineering Chemistry Research , vol.45 , pp. 7177-7189
    • Lou, Y.1    Christofides, P.D.2
  • 34
    • 0033876326 scopus 로고    scopus 로고
    • Constrained model predictive control: stability and optimality
    • Mayne D.Q., Rawlings J.B., Rao C.V., and Scokaert P.O.M. Constrained model predictive control: stability and optimality. Automatica 36 (2000) 789-814
    • (2000) Automatica , vol.36 , pp. 789-814
    • Mayne, D.Q.1    Rawlings, J.B.2    Rao, C.V.3    Scokaert, P.O.M.4
  • 35
    • 0033135677 scopus 로고    scopus 로고
    • Model predictive control: past, present and future
    • Morari M., and Lee J.H. Model predictive control: past, present and future. Computers and Chemical Engineering 23 (1999) 667-682
    • (1999) Computers and Chemical Engineering , vol.23 , pp. 667-682
    • Morari, M.1    Lee, J.H.2
  • 36
    • 13444249983 scopus 로고    scopus 로고
    • Multivariable predictive control of thin film deposition using a stochastic PDE model
    • Ni D., and Christofides P.D. Multivariable predictive control of thin film deposition using a stochastic PDE model. Industrial & Engineering Chemistry Research 44 (2005) 2416-2427
    • (2005) Industrial & Engineering Chemistry Research , vol.44 , pp. 2416-2427
    • Ni, D.1    Christofides, P.D.2
  • 37
    • 0033495248 scopus 로고    scopus 로고
    • Optimal control of rapid thermal processing systems by empirical reduction of modes
    • Park H.M., Yoon T.Y., and Kim O.Y. Optimal control of rapid thermal processing systems by empirical reduction of modes. Industrial & Engineering Chemistry Research 38 (1999) 3964-3975
    • (1999) Industrial & Engineering Chemistry Research , vol.38 , pp. 3964-3975
    • Park, H.M.1    Yoon, T.Y.2    Kim, O.Y.3
  • 38
    • 0000291789 scopus 로고    scopus 로고
    • Low-dimensional approximations of multiscale epitaxial growth models for microstructure control of materials
    • Raimondeau S., and Vlachos D.G. Low-dimensional approximations of multiscale epitaxial growth models for microstructure control of materials. Journal of Computational Physics 160 (2000) 564-576
    • (2000) Journal of Computational Physics , vol.160 , pp. 564-576
    • Raimondeau, S.1    Vlachos, D.G.2
  • 40
    • 0037163783 scopus 로고    scopus 로고
    • Uniqueness of reconstruction of multiphase morphologies from two-point correlation functions
    • Rozman M.G., and Utz M. Uniqueness of reconstruction of multiphase morphologies from two-point correlation functions. Physical Review Letters 89 (2002) 135501
    • (2002) Physical Review Letters , vol.89 , pp. 135501
    • Rozman, M.G.1    Utz, M.2
  • 41
    • 0032137461 scopus 로고    scopus 로고
    • Min-max feedback model predictive control for constrained linear systems
    • Scokaert P.O.M., and Mayne D.Q. Min-max feedback model predictive control for constrained linear systems. IEEE Transactions on Automatic Control 43 (1998) 1136-1142
    • (1998) IEEE Transactions on Automatic Control , vol.43 , pp. 1136-1142
    • Scokaert, P.O.M.1    Mayne, D.Q.2
  • 44
    • 84896552867 scopus 로고    scopus 로고
    • Nonlinear model reduction for control of distributed parameter systems: a computer assisted study
    • Shvartsman S.Y., and Kevrekidis I.G. Nonlinear model reduction for control of distributed parameter systems: a computer assisted study. A.I.Ch.E. Journal 44 (1998) 1579-1595
    • (1998) A.I.Ch.E. Journal , vol.44 , pp. 1579-1595
    • Shvartsman, S.Y.1    Kevrekidis, I.G.2
  • 46
    • 0028529677 scopus 로고
    • Discretization of nonlinear control systems via the Carleman linearization
    • Svoronos S., Papageorgiou D., and Tsiligiannis C. Discretization of nonlinear control systems via the Carleman linearization. Chemical Engineering Science 49 19 (1994) 3263-3267
    • (1994) Chemical Engineering Science , vol.49 , Issue.19 , pp. 3263-3267
    • Svoronos, S.1    Papageorgiou, D.2    Tsiligiannis, C.3
  • 47
    • 38149051324 scopus 로고    scopus 로고
    • Teel, A.R., 2004. Discrete time receding horizon optimal control: is the stability robust? Lecture Notes in Control and Information Science, 301, 3-27.
  • 50
    • 0036040847 scopus 로고    scopus 로고
    • Statistical description of microstructures
    • Torquato S. Statistical description of microstructures. Annual Review of Materials Science 32 (2002) 77-111
    • (2002) Annual Review of Materials Science , vol.32 , pp. 77-111
    • Torquato, S.1
  • 51
    • 34047220155 scopus 로고    scopus 로고
    • Tuna, S.E., Messina, M.J., Teel, A.R., 2006. Shorter horizons for model predictive control. In: Proceedings of the 2006 American Control Conference, Minneapolis, Minnesota, USA, pp. 863-868.
  • 53
    • 27144471786 scopus 로고    scopus 로고
    • Multiscale optimization of thin-film growth using hybrid PDE/kMC process systems
    • Varshney A., and Armaou A. Multiscale optimization of thin-film growth using hybrid PDE/kMC process systems. Chemical Engineering Science 60 (2005) 6780-6794
    • (2005) Chemical Engineering Science , vol.60 , pp. 6780-6794
    • Varshney, A.1    Armaou, A.2
  • 54
    • 33846101575 scopus 로고    scopus 로고
    • Identification of macroscopic variables for low-order modeling of thin-film growth
    • Varshney A., and Armaou A. Identification of macroscopic variables for low-order modeling of thin-film growth. Industrial & Engineering Chemistry Research 45 (2006) 8290-8298
    • (2006) Industrial & Engineering Chemistry Research , vol.45 , pp. 8290-8298
    • Varshney, A.1    Armaou, A.2
  • 55
    • 33645685458 scopus 로고    scopus 로고
    • Optimal operation of GaN thin film epitaxy employing control vector parameterization
    • Varshney A., and Armaou A. Optimal operation of GaN thin film epitaxy employing control vector parameterization. A.I.Ch.E. Journal 52 (2006) 1378-1391
    • (2006) A.I.Ch.E. Journal , vol.52 , pp. 1378-1391
    • Varshney, A.1    Armaou, A.2
  • 56
    • 0035895092 scopus 로고    scopus 로고
    • Identification of multivariable bilinear state space systems based on subspace techniques and separable least squares optimization
    • Verdult V., and Verhaegen M. Identification of multivariable bilinear state space systems based on subspace techniques and separable least squares optimization. International Journal of Control 74 (2001) 1824-1836
    • (2001) International Journal of Control , vol.74 , pp. 1824-1836
    • Verdult, V.1    Verhaegen, M.2
  • 57
    • 0035449005 scopus 로고    scopus 로고
    • Fundamental processes in Si/Si and Ge/Si studied by scanning tunneling microscopy during growth
    • Voigtlander B. Fundamental processes in Si/Si and Ge/Si studied by scanning tunneling microscopy during growth. Surface Science 43 (2001) 127
    • (2001) Surface Science , vol.43 , pp. 127
    • Voigtlander, B.1
  • 58
    • 0035794374 scopus 로고    scopus 로고
    • Ultraviolet-extended real-time spectroscopic ellipsometry for characterization of phase evolution in BN thin films
    • Zapien J.A., Messier R., and Collin R.W. Ultraviolet-extended real-time spectroscopic ellipsometry for characterization of phase evolution in BN thin films. Applied Physics Letters 78 (2001) 1982
    • (2001) Applied Physics Letters , vol.78 , pp. 1982
    • Zapien, J.A.1    Messier, R.2    Collin, R.W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.