메뉴 건너뛰기




Volumn , Issue , 2004, Pages

Reduction of process simulation models: A proper orthogonal decomposition approach

Author keywords

Partial differential equations; Process control; Reduced order system; Singular value decomposition

Indexed keywords

COMPUTATIONAL MODELS; LINEAR QUADRATIC REGULATOR (LQR) CONTROLLER; MOMENTUM TRANSFER; PROPER ORTHOGONAL DECOMPOSITION (POD);

EID: 84860070310     PISSN: 09298533     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Review
Times cited : (2)

References (74)
  • 1
    • 84956108787 scopus 로고
    • Analytic properties of Schmidt pairs for a Hankel operator and the generalized Schur-Takagi problem
    • V.M. Adamjan, D.Z. Arov, and M.G. Krein. Analytic properties of Schmidt pairs for a Hankel operator and the generalized Schur-Takagi problem. Math USSR Sbornik, 15:31-73, 1971.
    • (1971) Math USSR Sbornik , vol.15 , pp. 31-73
    • Adamjan, V.M.1    Arov, D.Z.2    Krein, M.G.3
  • 3
    • 11144350666 scopus 로고    scopus 로고
    • Fast large scale model reduction technique for large scale LTV systems
    • Boston, June
    • P. Astrid. Fast large scale model reduction technique for large scale LTV systems. In Proceedings of the American Control Conference, Boston, June 2004.
    • (2004) Proceedings of the American Control Conference
    • Astrid, P.1
  • 8
    • 11144323963 scopus 로고    scopus 로고
    • chapter 2, In Mathematical Simulation in Glass Technology, eds: H.Loch and D.Krause. Springer, Berlin
    • A.C.P.M. Backx. Model-Based Glass Melter Control, chapter 2, pages 137-155. In Mathematical Simulation in Glass Technology, eds: H.Loch and D.Krause. Springer, Berlin, 2002.
    • (2002) Model-based Glass Melter Control , pp. 137-155
    • Backx, A.C.P.M.1
  • 9
    • 11144259605 scopus 로고    scopus 로고
    • chapter 2, In Mathematical Simulation in Glass Technology, H.Loch and D.Krause (eds). Springer, Berlin
    • R.G.C. Beerkens. Modeling of the Melting Process in Industrial Glass Furnaces, chapter 2, pages 17-73. In Mathematical Simulation in Glass Technology, H.Loch and D.Krause (eds). Springer, Berlin, 2002.
    • (2002) Modeling of the Melting Process in Industrial Glass Furnaces , pp. 17-73
    • Beerkens, R.G.C.1
  • 10
    • 0013033655 scopus 로고
    • Possibilities of glass tank modeling for the prediction of the quality of melting processes
    • R.G.C. Beerkens, T. van der Heijden, and H.P.H. Muijsenberg. Possibilities of glass tank modeling for the prediction of the quality of melting processes. Ceram.Eng.Sci.Proc., 14(3-4):139-160, 1993.
    • (1993) Ceram. Eng. Sci. Proc. , vol.14 , Issue.3-4 , pp. 139-160
    • Beerkens, R.G.C.1    Van Der Heijden, T.2    Muijsenberg, H.P.H.3
  • 12
    • 0000500211 scopus 로고
    • Nonlinear behavior and 1/f noise near a conductivity threshold: Effects of local microgeometry
    • March
    • D.J. Bergman. Nonlinear behavior and 1/f noise near a conductivity threshold: Effects of local microgeometry. Phys. Rev. B, 39(7):4598, March 1989.
    • (1989) Phys. Rev. B , vol.39 , Issue.7 , pp. 4598
    • Bergman, D.J.1
  • 15
    • 4344609077 scopus 로고    scopus 로고
    • Aerodynamic data reconstruction and inverse design using proper orthogonal decomposition
    • T. Bui-Thanh, M. Damodaran, and K.E. Willcox. Aerodynamic data reconstruction and inverse design using proper orthogonal decomposition. AIAA Journal, 42(8):1505-1516, 2004.
    • (2004) AIAA Journal , vol.42 , Issue.8 , pp. 1505-1516
    • Bui-Thanh, T.1    Damodaran, M.2    Willcox, K.E.3
  • 17
    • 11144272275 scopus 로고    scopus 로고
    • Investigation of glass melting and fining processes by means of comprehensive mathematical model
    • M.G. Carvalho, J.Wang, and M.Nogueira. Investigation of glass melting and fining processes by means of comprehensive mathematical model. Ceramic Transactions, 82:143-152, 1997.
    • (1997) Ceramic Transactions , vol.82 , pp. 143-152
    • Carvalho, M.G.1    Wang, J.2    Nogueira, M.3
  • 18
    • 0009292075 scopus 로고    scopus 로고
    • Modeling of glass melting furnaces: Applications to control, design and operation optimization
    • M.G. Carvalho, N. Speranskaia, J. Wang, and M. Nogueira. Modeling of glass melting furnaces: applications to control, design and operation optimization. Ceramic Transactions, 82:109-135, 1997.
    • (1997) Ceramic Transactions , vol.82 , pp. 109-135
    • Carvalho, M.G.1    Speranskaia, N.2    Wang, J.3    Nogueira, M.4
  • 22
    • 84970908898 scopus 로고
    • The Karhunen-Loève procedure for gappy data
    • R. Everson and L. Sirovich. The Karhunen-Loève procedure for gappy data. Journal Opt. Soc. Am., 12:1657-1664, 1995.
    • (1995) Journal Opt. Soc. Am. , vol.12 , pp. 1657-1664
    • Everson, R.1    Sirovich, L.2
  • 25
    • 0033540946 scopus 로고    scopus 로고
    • Optimal control of vortex shedding using low order models. Part II - Model based control
    • W.R. Graham, J. Peraire, and K.Y. Tang. Optimal control of vortex shedding using low order models. Part II - model based control. Journal Opt. Soc. Am., 44:973-990, 1999.
    • (1999) Journal Opt. Soc. Am. , vol.44 , pp. 973-990
    • Graham, W.R.1    Peraire, J.2    Tang, K.Y.3
  • 37
    • 0038693394 scopus 로고    scopus 로고
    • Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics
    • K. Kunisch and S. Volkwein. Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. SIAM Journal on Numerical Analysis, 40:492-515.
    • SIAM Journal on Numerical Analysis , vol.40 , pp. 492-515
    • Kunisch, K.1    Volkwein, S.2
  • 43
    • 0002708045 scopus 로고
    • Atmospheric Turbulence and Wave Propagation, Yaglom and V.I. Tatarski (eds). Nauka, Moscow
    • J.L. Lumley. The structure of inhomogeneous turbulence, pages 166-178. In Atmospheric Turbulence and Wave Propagation, Yaglom and V.I. Tatarski (eds). Nauka, Moscow, 1967.
    • (1967) The Structure of Inhomogeneous Turbulence , pp. 166-178
    • Lumley, J.L.1
  • 44
    • 0035176703 scopus 로고    scopus 로고
    • Modeling and control of physical processes using proper orthogonal decomposition
    • H.V Ly and H.T Tran. Modeling and control of physical processes using proper orthogonal decomposition. Mathematical and Computer Modelling, 33.
    • Mathematical and Computer Modelling , vol.33
    • Ly, H.V.1    Tran, H.T.2
  • 45
    • 0019533482 scopus 로고
    • Principle component analysis in linear systems: Controllability, observability, and model reduction
    • B. Moore. Principle component analysis in linear systems: Controllability, observability, and model reduction. IEEE Transactions on Automatic Control, 26(1):17-32, 1981.
    • (1981) IEEE Transactions on Automatic Control , vol.26 , Issue.1 , pp. 17-32
    • Moore, B.1
  • 46
    • 0000793139 scopus 로고
    • Cramming more components onto integrated circuits
    • G.E. Moore. Cramming more components onto integrated circuits. Electronics, 38(8), 1965.
    • (1965) Electronics , vol.38 , Issue.8
    • Moore, G.E.1
  • 48
    • 11144261186 scopus 로고    scopus 로고
    • Low-dimensional modeling of flow-induced vibrations via proper orthogonal decomposition
    • Norway
    • D.J. Newman and G.E. Karniadakis. Low-dimensional modeling of flow-induced vibrations via proper orthogonal decomposition. In 21st Symposium on Naval Hydrodynamics, Norway, 1996.
    • (1996) 21st Symposium on Naval Hydrodynamics
    • Newman, D.J.1    Karniadakis, G.E.2
  • 51
    • 11144334936 scopus 로고    scopus 로고
    • Advanced forehearth design by means of mathematical modeling
    • San Fransisco, July 5-10
    • O.M.G.C. op den Camp and V.O. Aume. Advanced forehearth design by means of mathematical modeling. In The 18th International Congress on Glass, San Fransisco, July 5-10 1999.
    • (1999) 18th International Congress on Glass
    • Op Den Camp, O.M.G.C.1    Aume, V.O.2
  • 56
    • 0001205448 scopus 로고
    • General theory of the correlations of random functions
    • V.S. Pougachev. General theory of the correlations of random functions. Izv. Akad. Nauk. SSSR. Math. Ser., 17:401-2, 1953.
    • (1953) Izv. Akad. Nauk. SSSR. Math. Ser. , vol.17 , pp. 401-402
    • Pougachev, V.S.1
  • 60
    • 0034435557 scopus 로고    scopus 로고
    • Reduced-order adaptive controllers for fluid flows using POD
    • S.S Ravindran. Reduced-order adaptive controllers for fluid flows using POD. Journal of Scientific Computing, 15(4):457-478, 2000.
    • (2000) Journal of Scientific Computing , vol.15 , Issue.4 , pp. 457-478
    • Ravindran, S.S.1
  • 61
    • 0000104411 scopus 로고    scopus 로고
    • A reduced order method for simulating and control of fluid flows
    • S.S Ravindran and K. Ito. A reduced order method for simulating and control of fluid flows. Journal of Computational Physics, 143(2):403-425, 1998.
    • (1998) Journal of Computational Physics , vol.143 , Issue.2 , pp. 403-425
    • Ravindran, S.S.1    Ito, K.2
  • 62
    • 0004279650 scopus 로고
    • PhD dissertation, University of Twente, Department of Applied Mathematics, March
    • J.M.A. Scherpen. Balancing for Nonlinear Systems. PhD dissertation, University of Twente, Department of Applied Mathematics, March 1994.
    • (1994) Balancing for Nonlinear Systems
    • Scherpen, J.M.A.1
  • 65
    • 0001182214 scopus 로고
    • Optimal low-dimensional dynamical approximations
    • L. Sirovich, B.W. Knight, and J.D Rodriguez. Optimal low-dimensional dynamical approximations. Q.Appl.Math., 48:535-548, 1990.
    • (1990) Q. Appl. Math. , vol.48 , pp. 535-548
    • Sirovich, L.1    Knight, B.W.2    Rodriguez, J.D.3
  • 70
    • 0003332213 scopus 로고
    • An introduction to computational fluid dynamics
    • Pearson Prentice Hall, Essex
    • H.K. Versteeg and W.K. Malalasekera. An Introduction to Computational Fluid Dynamics, The Finite Volume Method. Pearson Prentice Hall, Essex, 1995.
    • (1995) The Finite Volume Method
    • Versteeg, H.K.1    Malalasekera, W.K.2
  • 72
    • 85087597434 scopus 로고    scopus 로고
    • Unsteady flow sensing and estimation via the gappy proper orthogonal decomposition
    • Portland
    • K.E. Willcox. Unsteady flow sensing and estimation via the gappy proper orthogonal decomposition. In 34th AIAA Fluid Dynamics Conference and Exhibit, Portland, 2004.
    • (2004) 34th AIAA Fluid Dynamics Conference and Exhibit
    • Willcox, K.E.1
  • 73
    • 0036849510 scopus 로고    scopus 로고
    • Balanced model reduction via the proper orthogonal decomposition
    • K.E. Willcox and J. Peraire. Balanced model reduction via the proper orthogonal decomposition. AIAA Journal, 40(11):2323-2330, 2002.
    • (2002) AIAA Journal , vol.40 , Issue.11 , pp. 2323-2330
    • Willcox, K.E.1    Peraire, J.2
  • 74
    • 0034800371 scopus 로고    scopus 로고
    • Principle component analysis for clustering gene expression data
    • Yeung and Ruzzo. Principle component analysis for clustering gene expression data. Bioinformatics, 17(9):763-74, 2001.
    • (2001) Bioinformatics , vol.17 , Issue.9 , pp. 763-774
    • Yeung1    Ruzzo2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.