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Volumn 32, Issue 9, 2008, Pages 2123-2135

Optimal control of diffusion-convection-reaction processes using reduced-order models

Author keywords

Diffusion convection reaction processes; Empirical eigenfunctions; Model reduction; Optimal control; Orthogonal collocation

Indexed keywords

ADDITION REACTIONS; AIRCRAFT ENGINES; ARCHITECTURAL DESIGN; BESSEL FUNCTIONS; CABLE STAYED BRIDGES; COMPUTATIONAL METHODS; CONTINUOUS TIME SYSTEMS; CONTROL EQUIPMENT; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); DIFFUSION; EQUATIONS OF STATE; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; FUNCTION EVALUATION; INTERSECTIONS; MATRIX ALGEBRA; NUMBER THEORY; NUMERICAL ANALYSIS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; REACTION KINETICS; SEMICONDUCTOR DOPING; SENSOR NETWORKS; STANDARDS; STATE SPACE METHODS;

EID: 45949083297     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compchemeng.2007.10.018     Document Type: Article
Times cited : (59)

References (34)
  • 2
    • 0042599224 scopus 로고    scopus 로고
    • Nonlinear feedback control of parabolic PDE systems with time-dependent spatial domains
    • Armaou A., and Christofides P.D. Nonlinear feedback control of parabolic PDE systems with time-dependent spatial domains. Journal of Mathematical Analysis and Applications 239 (1999) 124-157
    • (1999) Journal of Mathematical Analysis and Applications , vol.239 , pp. 124-157
    • Armaou, A.1    Christofides, P.D.2
  • 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
    • 0034616305 scopus 로고    scopus 로고
    • Wave suppression by nonlinear finite-dimensional control
    • Armaou A., and Christofides P.D. Wave suppression by nonlinear finite-dimensional control. Chemical Engineering Science 55 (2000) 2627-2640
    • (2000) Chemical Engineering Science , vol.55 , pp. 2627-2640
    • Armaou, A.1    Christofides, P.D.2
  • 5
    • 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
  • 6
    • 0021618667 scopus 로고
    • Generalized eigenproblem algorithms and software for algebraic Riccati equations
    • Arnold W.F., and Laub A.J. Generalized eigenproblem algorithms and software for algebraic Riccati equations. Proceedings of IEEE 72 (1984) 1746-1754
    • (1984) Proceedings of IEEE , vol.72 , pp. 1746-1754
    • Arnold, W.F.1    Laub, A.J.2
  • 7
    • 0034388593 scopus 로고    scopus 로고
    • Nonlinear control of incompressible fluid flow: Application to Burgers' equation and 2D channel flow
    • Baker J., Armaou A., and Christofides P.D. Nonlinear control of incompressible fluid flow: Application to Burgers' equation and 2D channel flow. Journal of Mathematical Analysis and Applications 252 (2000) 230-255
    • (2000) Journal of Mathematical Analysis and Applications , vol.252 , pp. 230-255
    • Baker, J.1    Armaou, A.2    Christofides, P.D.3
  • 8
    • 0034689117 scopus 로고    scopus 로고
    • Finite dimensional approximation and control of nonlinear parabolic PDE systems
    • Baker J., and Christofides P.D. Finite dimensional approximation and control of nonlinear parabolic PDE systems. International Journal of Control 73 (2000) 439-456
    • (2000) International Journal of Control , vol.73 , pp. 439-456
    • Baker, J.1    Christofides, P.D.2
  • 9
    • 0033856262 scopus 로고    scopus 로고
    • Optimization of transport-reaction processes using nonlinear model reduction
    • Bendersky E., and Christofides P.D. Optimization of transport-reaction processes using nonlinear model reduction. Chemical Engineering Science 55 (2000) 4349-4366
    • (2000) Chemical Engineering Science , vol.55 , pp. 4349-4366
    • Bendersky, E.1    Christofides, P.D.2
  • 13
    • 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 and Applications 216 (1997) 398-420
    • (1997) Journal of Mathematical Analysis and Applications , vol.216 , pp. 398-420
    • Christofides, P.D.1    Daoutidis, P.2
  • 14
    • 24444437044 scopus 로고
    • Continuous flow systems: Distribution of residence times
    • Danckwerts P.V. Continuous flow systems: Distribution of residence times. Chemical Engineering Science 2 (1953) 1-13
    • (1953) Chemical Engineering Science , vol.2 , pp. 1-13
    • Danckwerts, P.V.1
  • 16
    • 0027680818 scopus 로고
    • Modal approximation of xenon oscillations in nuclear reactors-An FEM-based approach
    • Kalkkuhl J.C., and Doring M.G. Modal approximation of xenon oscillations in nuclear reactors-An FEM-based approach. Control Engineering Practice 1 (1993) 791-796
    • (1993) Control Engineering Practice , vol.1 , pp. 791-796
    • Kalkkuhl, J.C.1    Doring, M.G.2
  • 17
    • 17644413833 scopus 로고    scopus 로고
    • Multi-scale modeling and analysis of HVOF thermal spray process
    • Li M., and Christofides P.D. Multi-scale modeling and analysis of HVOF thermal spray process. Chemical Engineering Science 60 (2005) 3649-3669
    • (2005) Chemical Engineering Science , vol.60 , pp. 3649-3669
    • Li, M.1    Christofides, P.D.2
  • 18
    • 33746993106 scopus 로고    scopus 로고
    • Computational study of particle in-flight behavior in the HVOF thermal spray process
    • Li M., and Christofides P.D. Computational study of particle in-flight behavior in the HVOF thermal spray process. Chemical Engineering Science 61 (2006) 6540-6552
    • (2006) Chemical Engineering Science , vol.61 , pp. 6540-6552
    • Li, M.1    Christofides, P.D.2
  • 19
    • 34247503604 scopus 로고    scopus 로고
    • Li, M., & Christofides, P. D. (2007). An input/output approach to the optimal transition control of a class of distributed chemical reactors. Chemical Engineering Science, 62, 2979-2988.
    • Li, M., & Christofides, P. D. (2007). An input/output approach to the optimal transition control of a class of distributed chemical reactors. Chemical Engineering Science, 62, 2979-2988.
  • 20
    • 33751225380 scopus 로고    scopus 로고
    • Computational fluid dynamic modeling of tin oxide deposition in an impinging chemical vapor deposition reactor
    • Li M., Sopko J.F., and McCamy J.W. Computational fluid dynamic modeling of tin oxide deposition in an impinging chemical vapor deposition reactor. Thin Solid Films 155 (2006) 1400-1410
    • (2006) Thin Solid Films , vol.155 , pp. 1400-1410
    • Li, M.1    Sopko, J.F.2    McCamy, J.W.3
  • 21
    • 0000554261 scopus 로고    scopus 로고
    • Simulation and model reduction methods for an RF plasma glow discharge
    • Lin Y.H., and Adomaitis R.A. Simulation and model reduction methods for an RF plasma glow discharge. Journal of Computational Physics 171 (2001) 731-752
    • (2001) Journal of Computational Physics , vol.171 , pp. 731-752
    • Lin, Y.H.1    Adomaitis, R.A.2
  • 22
    • 0347360394 scopus 로고    scopus 로고
    • On the use of reduced order models in bifurcation analysis of distributed parameter systems
    • Liu Y., and Jacobsen E.W. On the use of reduced order models in bifurcation analysis of distributed parameter systems. Computers & Chemical Engineering 28 (2004) 161-169
    • (2004) Computers & Chemical Engineering , vol.28 , pp. 161-169
    • Liu, Y.1    Jacobsen, E.W.2
  • 23
    • 32644434435 scopus 로고    scopus 로고
    • Dynamic modeling of polyethylene grade transitions in fluidized bed reactors employing nickel-diimine catalysts
    • Lo D.P., and Ray W.H. Dynamic modeling of polyethylene grade transitions in fluidized bed reactors employing nickel-diimine catalysts. Industrial & Engineering Chemical Research 45 (2006) 993-1008
    • (2006) Industrial & Engineering Chemical Research , vol.45 , pp. 993-1008
    • Lo, D.P.1    Ray, W.H.2
  • 24
    • 0026791940 scopus 로고
    • Optimal grade transitions in a gas-phase polyethylene reactor
    • McAuley K.B., and MacGregor J.F. Optimal grade transitions in a gas-phase polyethylene reactor. AIChE Journal 38 (1992) 1564-1576
    • (1992) AIChE Journal , vol.38 , pp. 1564-1576
    • McAuley, K.B.1    MacGregor, J.F.2
  • 28
    • 0842343715 scopus 로고    scopus 로고
    • Model reduction for compressible flows using POD and Galerkin projection
    • Rowley C.W., Colonius T., and Murray R.M. Model reduction for compressible flows using POD and Galerkin projection. Physica D 189 (2004) 115-129
    • (2004) Physica D , vol.189 , pp. 115-129
    • Rowley, C.W.1    Colonius, T.2    Murray, R.M.3
  • 29
    • 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. AIChE Journal 44 (1998) 1579-1595
    • (1998) AIChE Journal , vol.44 , pp. 1579-1595
    • Shvartsman, S.Y.1    Kevrekidis, I.G.2
  • 30
    • 0000246863 scopus 로고
    • Turbulence and the dynamics of coherent structures. Part I. Coherent structures.
    • Sirovich L. Turbulence and the dynamics of coherent structures. Part I. Coherent structures. Quarterly of Applied Mathematics XLV (1987) 561-571
    • (1987) Quarterly of Applied Mathematics , vol.XLV , pp. 561-571
    • Sirovich, L.1
  • 33
    • 33645685458 scopus 로고    scopus 로고
    • Optimal operation of GaN thin film epitaxy employing control vector parametrization
    • Varshney A., and Armaou A. Optimal operation of GaN thin film epitaxy employing control vector parametrization. AIChE Journal 52 (2006) 1378-1391
    • (2006) AIChE Journal , vol.52 , pp. 1378-1391
    • Varshney, A.1    Armaou, A.2
  • 34
    • 0036849510 scopus 로고    scopus 로고
    • Balanced model reduction via the proper orthogonal decomposition
    • Wilcox K., and Peraire J. Balanced model reduction via the proper orthogonal decomposition. AIAA Journal 40 (2002) 2323-2330
    • (2002) AIAA Journal , vol.40 , pp. 2323-2330
    • Wilcox, K.1    Peraire, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.