메뉴 건너뛰기




Volumn 22, Issue 8, 2012, Pages 1490-1501

Dynamical optimization using reduced order models: A method to guarantee performance

Author keywords

Dynamic optimization; Linear systems; Model reduction; Multiple shooting; Reduction error bound

Indexed keywords

ASYMPTOTICALLY STABLE; COMPUTATIONAL EFFORT; DYNAMIC OPTIMIZATION; ERROR BOUND; ERROR ESTIMATORS; FULL-ORDER MODELS; HIGH-DIMENSIONAL; LINEAR ORDINARY DIFFERENTIAL EQUATIONS; MODEL ORDER REDUCTION; MODEL REDUCTION; MULTIPLE SHOOTING; NON-LINEAR OPTIMIZATION; OBJECTIVE FUNCTION VALUES; OBJECTIVE FUNCTIONS; OPTIMIZATION APPROACH; OPTIMIZATION SCHEME; POSTERIORI; REDUCED ORDER MODELS; TUBE REACTORS; UPPER BOUND; VERTEX ENUMERATION;

EID: 84865676947     PISSN: 09591524     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jprocont.2012.01.017     Document Type: Article
Times cited : (15)

References (44)
  • 1
    • 27744534904 scopus 로고    scopus 로고
    • An overview of approximation methods for large-scale dynamical systems
    • Antoulas A. An overview of approximation methods for large-scale dynamical systems Annu. Rev. Control 29 2 2005 181 190
    • (2005) Annu. Rev. Control , vol.29 , Issue.2 , pp. 181-190
    • Antoulas, A.1
  • 2
    • 34047199854 scopus 로고    scopus 로고
    • Approximation of large-scale dynamical systems
    • SIAM Philadelphia
    • Antoulas A. Approximation of large-scale dynamical systems Advances in Design and Control 2005 SIAM Philadelphia
    • (2005) Advances in Design and Control
    • Antoulas, A.1
  • 3
    • 0000246863 scopus 로고
    • Turbulence and the dynamics of coherent structures. i - Coherent structures. i - Symmetries and transformations. III - Dynamics and scaling
    • Sirovich L. Turbulence and the dynamics of coherent structures. I - coherent structures. I - symmetries and transformations. III - dynamics and scaling Q. Appl. Math. 45 1987 561 571
    • (1987) Q. Appl. Math. , vol.45 , pp. 561-571
    • Sirovich, L.1
  • 4
    • 0842343715 scopus 로고    scopus 로고
    • Model reduction for compressible flows using POD and Galerkin projection
    • Rowley C., Colonius T., and Murray R. Model reduction for compressible flows using POD and Galerkin projection Phys. D: Nonlinear Phenomena 189 1-2 2004 115 129
    • (2004) Phys. D: Nonlinear Phenomena , vol.189 , Issue.12 , pp. 115-129
    • Rowley, C.1    Colonius, T.2    Murray, R.3
  • 5
    • 79953239637 scopus 로고    scopus 로고
    • Model reduction via proper orthogonal decomposition
    • Bock H.-G. de Hoog F. Friedman A. Gupta A. Neunzert H. Pulleyblank W. Rusten T. Santosa F. Tornberg A.-K. Cappasso V. Bonilla L. Mattheij R. Scherzer O. Springer Berlin, Heidelberg
    • Pinnau R. Model reduction via proper orthogonal decomposition Bock H.-G. de Hoog F. Friedman A. Gupta A. Neunzert H. Pulleyblank W. Rusten T. Santosa F. Tornberg A.-K. Cappasso V. Bonilla L. Mattheij R. Scherzer O. Model Order Reduction: Theory, Research Aspects and Applications, vol. 13 of Mathematics in Industry 2008 Springer Berlin, Heidelberg 95 109
    • (2008) Model Order Reduction: Theory, Research Aspects and Applications, Vol. 13 of Mathematics in Industry , pp. 95-109
    • Pinnau, R.1
  • 7
    • 0036776433 scopus 로고    scopus 로고
    • Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems
    • Bai Z. Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems Appl. Numer. Math. 43 1-2 2002 9 44
    • (2002) Appl. Numer. Math. , vol.43 , Issue.12 , pp. 9-44
    • Bai, Z.1
  • 8
    • 13844273168 scopus 로고    scopus 로고
    • Model reduction methods based on Krylov subspaces
    • Freund R. Model reduction methods based on Krylov subspaces Acta Numer. 12 2003 267 319
    • (2003) Acta Numer. , vol.12 , pp. 267-319
    • Freund, R.1
  • 9
    • 68149158284 scopus 로고    scopus 로고
    • Adaptive basis enrichment for the reduced basis method applied to finite volume schemes
    • Aussois, France
    • Haasdonk B., and Ohlberger M. Adaptive basis enrichment for the reduced basis method applied to finite volume schemes Proc. 5th Int. Symp. on Finite Vol. for Complex App Aussois, France 2008 471 478
    • (2008) Proc. 5th Int. Symp. on Finite Vol. for Complex App , pp. 471-478
    • Haasdonk, B.1    Ohlberger, M.2
  • 10
    • 79953227700 scopus 로고    scopus 로고
    • Efficient reduced models and a-posteriori error estimation for parametrized dynamical systems by offline/online decomposition
    • Haasdonk B., and Ohlberger M. Efficient reduced models and a-posteriori error estimation for parametrized dynamical systems by offline/online decomposition Math. Comput. Modell. Dyn. Syst. 17 2 2011 145 161
    • (2011) Math. Comput. Modell. Dyn. Syst. , vol.17 , Issue.2 , pp. 145-161
    • Haasdonk, B.1    Ohlberger, M.2
  • 11
    • 70349498397 scopus 로고    scopus 로고
    • Model reduction for parametric systems using balanced truncation and interpolation
    • Baur U., and Benner P. Model reduction for parametric systems using balanced truncation and interpolation at-Automatisierungstechnik 57 8 2009 411 419
    • (2009) At-Automatisierungstechnik , vol.57 , Issue.8 , pp. 411-419
    • Baur, U.1    Benner, P.2
  • 12
    • 53749107686 scopus 로고    scopus 로고
    • Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations
    • Rozza G., Huynh D., and Patera A. Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations Arch. Comput. Methods Eng. 15 3 2008 229 275
    • (2008) Arch. Comput. Methods Eng. , vol.15 , Issue.3 , pp. 229-275
    • Rozza, G.1    Huynh, D.2    Patera, A.3
  • 13
    • 84865687761 scopus 로고    scopus 로고
    • System-theoretic methods for model reduction of large-scale systems: Simulation, control, and inverse problems
    • Troch I. Breitenecker F. Vienna Austria
    • Benner P. System-theoretic methods for model reduction of large-scale systems: simulation, control, and inverse problems Troch I. Breitenecker F. Proc. of Int. Conf. on Math. Modelling 2009 Vienna Austria 126 145
    • (2009) Proc. of Int. Conf. on Math. Modelling , pp. 126-145
    • Benner, P.1
  • 15
    • 0001068806 scopus 로고    scopus 로고
    • Continuous-discrete interactions in chemical processing plants
    • Engell S., Kowalewski S., Schulz C., and Stursberg O. Continuous-discrete interactions in chemical processing plants Proc. IEEE 88 7 2000 1050 1068
    • (2000) Proc. IEEE , vol.88 , Issue.7 , pp. 1050-1068
    • Engell, S.1    Kowalewski, S.2    Schulz, C.3    Stursberg, O.4
  • 16
    • 77956444019 scopus 로고    scopus 로고
    • Guaranteed steady state bounds for uncertain (bio-)chemical processes using infeasibility certificates
    • Hasenauer J., Rumschinski P., Waldherr S., Borchers S., Allgöwer F., and Findeisen R. Guaranteed steady state bounds for uncertain (bio-)chemical processes using infeasibility certificates J. Process Control 20 9 2010 1076 1083
    • (2010) J. Process Control , vol.20 , Issue.9 , pp. 1076-1083
    • Hasenauer, J.1    Rumschinski, P.2    Waldherr, S.3    Borchers, S.4    Allgöwer, F.5    Findeisen, R.6
  • 19
    • 34548382071 scopus 로고    scopus 로고
    • An overview of simultaneous strategies for dynamic optimization
    • Biegler L. An overview of simultaneous strategies for dynamic optimization Chem. Eng. Process. 46 11 2007 1043 1053
    • (2007) Chem. Eng. Process. , vol.46 , Issue.11 , pp. 1043-1053
    • Biegler, L.1
  • 21
    • 34249842390 scopus 로고
    • A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra
    • Avis D., and Fukuda K. A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra Discrete Comput. Geom. 8 3 1992 295 313
    • (1992) Discrete Comput. Geom. , vol.8 , Issue.3 , pp. 295-313
    • Avis, D.1    Fukuda, K.2
  • 22
    • 52949098408 scopus 로고    scopus 로고
    • Large-scale computation of elementary flux modes with bit pattern trees
    • Terzer M., and Stelling J. Large-scale computation of elementary flux modes with bit pattern trees Bioinformatics 24 19 2008 2229 2235
    • (2008) Bioinformatics , vol.24 , Issue.19 , pp. 2229-2235
    • Terzer, M.1    Stelling, J.2
  • 24
    • 0019702085 scopus 로고
    • Variable measurement structures for the control of a tubular reactor
    • Alvarez J., Romagnoli J., and Stephanopoulos G. Variable measurement structures for the control of a tubular reactor Chem. Eng. Sci. 36 10 1981 1695 1712
    • (1981) Chem. Eng. Sci. , vol.36 , Issue.10 , pp. 1695-1712
    • Alvarez, J.1    Romagnoli, J.2    Stephanopoulos, G.3
  • 25
    • 79961018178 scopus 로고    scopus 로고
    • Dissipativity-based globally convergent observer design for a class of tubular reactors
    • Chung M. Misra P. Seoul, Korea, vol. 17
    • Schaum A., Moreno J., and Alvarez J. Dissipativity-based globally convergent observer design for a class of tubular reactors Chung M. Misra P. Proc. of the 17th IFAC World Congress Seoul, Korea, vol. 17 2008 4554 4559
    • (2008) Proc. of the 17th IFAC World Congress , pp. 4554-4559
    • Schaum, A.1    Moreno, J.2    Alvarez, J.3
  • 27
    • 73149105740 scopus 로고    scopus 로고
    • Listening to the noise: Random fluctuations reveal gene network parameters
    • Munsky B., Trinh B., and Khammash M. Listening to the noise: random fluctuations reveal gene network parameters Mol. Syst. Biol. 5 2009 318
    • (2009) Mol. Syst. Biol. , vol.5 , pp. 318
    • Munsky, B.1    Trinh, B.2    Khammash, M.3
  • 28
    • 78149453584 scopus 로고    scopus 로고
    • Identification from stochastic cell-to-cell variation: A genetic switch case study
    • Munsky B., and Khammash M. Identification from stochastic cell-to-cell variation: a genetic switch case study IET Syst. Biol. 4 6 2010 356 366
    • (2010) IET Syst. Biol. , vol.4 , Issue.6 , pp. 356-366
    • Munsky, B.1    Khammash, M.2
  • 29
    • 0037092884 scopus 로고    scopus 로고
    • Computation of optimal identification experiments for nonlinear dynamic process models: A stochastic global optimization approach
    • Banga J., Versyck K., and Impe J.V. Computation of optimal identification experiments for nonlinear dynamic process models: a stochastic global optimization approach Ind. Eng. Chem. Res. 41 10 2002 2425 2430
    • (2002) Ind. Eng. Chem. Res. , vol.41 , Issue.10 , pp. 2425-2430
    • Banga, J.1    Versyck, K.2    Impe, J.V.3
  • 31
    • 77955180553 scopus 로고    scopus 로고
    • An off-line model reduction-based technique for on-line linear MPC applications for nonlinear large-scale distributed systems
    • Pierucci S. Ferraris G. Naples, Italy, vol. 28
    • Xie W., and Theodoropoulos C. An off-line model reduction-based technique for on-line linear MPC applications for nonlinear large-scale distributed systems Pierucci S. Ferraris G. Proc. of European Symp. on Comp. Aided Process Eng Naples, Italy, vol. 28 2010 409 414
    • (2010) Proc. of European Symp. on Comp. Aided Process Eng , pp. 409-414
    • Xie, W.1    Theodoropoulos, C.2
  • 32
    • 18144425775 scopus 로고    scopus 로고
    • Dynamic optimization of HIPS open-loop unstable polymerization reactors
    • Flores-Tlacuahuac A., Biegler L., and Saldivar-Guerra E. Dynamic optimization of HIPS open-loop unstable polymerization reactors Ind. Eng. Chem. Res. 44 8 2005 2659 2674
    • (2005) Ind. Eng. Chem. Res. , vol.44 , Issue.8 , pp. 2659-2674
    • Flores-Tlacuahuac, A.1    Biegler, L.2    Saldivar-Guerra, E.3
  • 33
    • 33645274675 scopus 로고    scopus 로고
    • Quasi-sequential approach to large-scale dynamic optimization problems
    • Hong W., Wang S., Li P., Wozny G., and Biegler L. Quasi-sequential approach to large-scale dynamic optimization problems AIChE J. 52 1 2006 255 268
    • (2006) AIChE J. , vol.52 , Issue.1 , pp. 255-268
    • Hong, W.1    Wang, S.2    Li, P.3    Wozny, G.4    Biegler, L.5
  • 34
    • 0002564462 scopus 로고
    • A multiple shooting algorithm for direct solution of optimal control problems
    • Budapest, Hungary
    • Bock H., and Plitt K. A multiple shooting algorithm for direct solution of optimal control problems Proc. of the 9th IFAC World Congress Budapest, Hungary 1984
    • (1984) Proc. of the 9th IFAC World Congress
    • Bock, H.1    Plitt, K.2
  • 38
    • 84980085899 scopus 로고
    • Extreme varieties, concave functions, and the fixed charge problem, Commun
    • Hirsch W., and Hoffmann A. Extreme varieties, concave functions, and the fixed charge problem, Commun Pure Appl. Math. 14 3 1961 355 369
    • (1961) Pure Appl. Math. , vol.14 , Issue.3 , pp. 355-369
    • Hirsch, W.1    Hoffmann, A.2
  • 39
    • 46349105936 scopus 로고    scopus 로고
    • Optimization in computational systems biology
    • Banga J. Optimization in computational systems biology BMC Syst. Biol. 2 2008 47
    • (2008) BMC Syst. Biol. , vol.2 , pp. 47
    • Banga, J.1
  • 40
    • 34548479280 scopus 로고    scopus 로고
    • A particle swarm pattern search method for bound constrained global optimization
    • Vaz A., and Vicente L. A particle swarm pattern search method for bound constrained global optimization J. Global Optim. 39 2 2007 197 219
    • (2007) J. Global Optim. , vol.39 , Issue.2 , pp. 197-219
    • Vaz, A.1    Vicente, L.2
  • 41
    • 33745213726 scopus 로고    scopus 로고
    • Algorithm 847: Spinterp: Piecewise multilinear hierarchical sparse grid interpolation in MATLAB
    • Klimke A., and Wohlmuth B. Algorithm 847: spinterp: piecewise multilinear hierarchical sparse grid interpolation in MATLAB ACM Trans. Math. Softw. 31 4 2005 561 579
    • (2005) ACM Trans. Math. Softw. , vol.31 , Issue.4 , pp. 561-579
    • Klimke, A.1    Wohlmuth, B.2
  • 44
    • 84555179120 scopus 로고    scopus 로고
    • Efficient a-posteriori error estimation for nonlinear kernel-based reduced systems
    • Wirtz D., and Haasdonk B. Efficient a-posteriori error estimation for nonlinear kernel-based reduced systems Syst. Control Lett. 61 2011 2003 2211
    • (2011) Syst. Control Lett. , vol.61 , pp. 2003-2211
    • Wirtz, D.1    Haasdonk, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.