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Volumn 4, Issue 4, 2012, Pages 307-331

Optimal sensitivity based on IPOPT

Author keywords

Interior point; NLP; Sensitivity

Indexed keywords

COVARIANCE MATRIX; MODEL PREDICTIVE CONTROL; NONLINEAR PROGRAMMING; OPEN SOURCE SOFTWARE; PREDICTIVE CONTROL SYSTEMS; STATE ESTIMATION;

EID: 84869217611     PISSN: 18672949     EISSN: 18672957     Source Type: Journal    
DOI: 10.1007/s12532-012-0043-2     Document Type: Article
Times cited : (128)

References (29)
  • 1
    • 29144523061 scopus 로고    scopus 로고
    • On the implementation of a primal-dual interior point filter line search algorithm for large-scale nonlinear programming
    • Wächter A., Biegler L. T.: On the implementation of a primal-dual interior point filter line search algorithm for large-scale nonlinear programming. Math. Program. 106(1), 25-57 (2006).
    • (2006) Math. Program. , vol.106 , Issue.1 , pp. 25-57
    • Wächter, A.1    Biegler, L.T.2
  • 3
    • 0001680771 scopus 로고
    • Sensitivity and stability analysis for nonlinear programming
    • Fiacco A. V., Ishizuka Y.: Sensitivity and stability analysis for nonlinear programming. Ann. Oper. Res. 27, 215-236 (1990).
    • (1990) Ann. Oper. Res. , vol.27 , pp. 215-236
    • Fiacco, A.V.1    Ishizuka, Y.2
  • 4
    • 0348231276 scopus 로고    scopus 로고
    • Sensitivity analysis and real-time control of parametric control problems using nonlinear programming methods
    • M. Grötschel, S. Krumke, and J. Rambau (Eds.), Berlin: Springer
    • Büskens H., Maurer C.: Sensitivity analysis and real-time control of parametric control problems using nonlinear programming methods. In: Grötschel, M., Krumke, S., Rambau, J. (eds) Online Optimization of Large-scale Systems, pp. 57-68. Springer, Berlin (2001).
    • (2001) Online Optimization of Large-Scale Systems , pp. 57-68
    • Büskens, H.1    Maurer, C.2
  • 5
    • 0040260802 scopus 로고
    • Sensitivity analysis for nonlinear programs and variational inequalities with nonunique multipliers
    • Kyparisis J.: Sensitivity analysis for nonlinear programs and variational inequalities with nonunique multipliers. Math. Oper. Res. 15(2), 286-298 (1990).
    • (1990) Math. Oper. Res. , vol.15 , Issue.2 , pp. 286-298
    • Kyparisis, J.1
  • 6
    • 0002416157 scopus 로고
    • Strongly stable stationary solutions in nonlinear programs
    • S. M. Robinson (Ed.), New York: Academic Press
    • Kojima M.: Strongly stable stationary solutions in nonlinear programs. In: Robinson, S. M. (eds) Analysis and Computation of Fixed Points, pp. 93-138. Academic Press, New York (1980).
    • (1980) Analysis and Computation of Fixed Points , pp. 93-138
    • Kojima, M.1
  • 7
    • 0021450976 scopus 로고
    • Continuous deformation of nonlinear programs
    • Kojima M., Hirabayashi R.: Continuous deformation of nonlinear programs. Math. Program. Study 21, 150-198 (1984).
    • (1984) Math. Program. Study , vol.21 , pp. 150-198
    • Kojima, M.1    Hirabayashi, R.2
  • 10
    • 84918766910 scopus 로고
    • A penalty function computer program for solution, sensitivity analysis and optimal bound value calculation in parametric nonlinear programs. Technical Report T-434, Management Science and Engineering, George Washington University
    • Fiacco, A. V. Ghaemi, A.: A user's manual for SENSUMT. A penalty function computer program for solution, sensitivity analysis and optimal bound value calculation in parametric nonlinear programs. Technical Report T-434, Management Science and Engineering, George Washington University (1980).
    • (1980) A user's manual for SENSUMT
    • Fiacco, A.V.1    Ghaemi, A.2
  • 11
    • 0023289056 scopus 로고
    • A reduced hessian strategy for sensitivity analysis of optimal flowsheets
    • Ganesh N., Biegler L. T.: A reduced hessian strategy for sensitivity analysis of optimal flowsheets. AIChE 33, 282-296 (1987).
    • (1987) AIChE , vol.33 , pp. 282-296
    • Ganesh, N.1    Biegler, L.T.2
  • 12
    • 0028532712 scopus 로고
    • Flowsheet optimization and optimal sensitivity analysis using exact derivatives
    • Wolbert D., Joulia X., Koehret B., Biegler L. T.: Flowsheet optimization and optimal sensitivity analysis using exact derivatives. Comput. Chem. Eng. 18, 1083 (1994).
    • (1994) Comput. Chem. Eng. , vol.18 , pp. 1083
    • Wolbert, D.1    Joulia, X.2    Koehret, B.3    Biegler, L.T.4
  • 13
    • 0030174501 scopus 로고    scopus 로고
    • Design cost: a systematic approach to technology selection for model-based real-time optimization systems
    • Forbes J., Marlin T. E.: Design cost: a systematic approach to technology selection for model-based real-time optimization systems. Comput. Chem. Eng. 20, 717-734 (1996).
    • (1996) Comput. Chem. Eng. , vol.20 , pp. 717-734
    • Forbes, J.1    Marlin, T.E.2
  • 14
    • 66749168335 scopus 로고    scopus 로고
    • A stabilizing real-time implementation of nonlinear model predictive control
    • L. T. Biegler, D. Keyes, O. Ghattas, B. Bloemen Waandersvan, and M. Heinkenschloss (Eds.), Philadelphia: SIAM
    • Diehl M., Findeisen R., Allgöwer F.: A stabilizing real-time implementation of nonlinear model predictive control. In: Biegler, L. T., Keyes, D., Ghattas, O., van Bloemen Waanders, B., Heinkenschloss, M. (eds) Real-Time PDE-Constrained Optimization, pp. 25-52. SIAM, Philadelphia (2007).
    • (2007) Real-Time PDE-Constrained Optimization , pp. 25-52
    • Diehl, M.1    Findeisen, R.2    Allgöwer, F.3
  • 15
    • 36048963146 scopus 로고    scopus 로고
    • Sensitivity-based solution updates in closed-loop dynamic optimization
    • Elsevier, Amsterdam
    • Kadam, J. Marquardt, W.: Sensitivity-based solution updates in closed-loop dynamic optimization. In: Proceedings of the DYCOPS 7 Conference. Elsevier, Amsterdam (2004).
    • (2004) Proceedings of the DYCOPS 7 Conference
    • Kadam, J.1    Marquardt, W.2
  • 16
    • 57949105824 scopus 로고    scopus 로고
    • The advanced-step NMPC controller: optimality, stability and robustness
    • Zavala V. M., Biegler L. T.: The advanced-step NMPC controller: optimality, stability and robustness. Automatica 45(1), 86-93 (2009).
    • (2009) Automatica , vol.45 , Issue.1 , pp. 86-93
    • Zavala, V.M.1    Biegler, L.T.2
  • 17
    • 0036959271 scopus 로고    scopus 로고
    • Interior point methods for nonlinear optimization
    • Forsgren A., Gill P. E., Wright M. H.: Interior point methods for nonlinear optimization. SIAM Rev. 44(4), 525-597 (2002).
    • (2002) SIAM Rev. , vol.44 , Issue.4 , pp. 525-597
    • Forsgren, A.1    Gill, P.E.2    Wright, M.H.3
  • 19
    • 0020165423 scopus 로고
    • Generalized equations and their solutions, part II: applications to nonlinear programming
    • Robinson S. M.: Generalized equations and their solutions, part II: applications to nonlinear programming. Math. Program. Study 19, 200-221 (1982).
    • (1982) Math. Program. Study , vol.19 , pp. 200-221
    • Robinson, S.M.1
  • 22
    • 33644505545 scopus 로고    scopus 로고
    • QPSchur: a dual, active-set, schur-complement method for large-scale and structured convex quadratic programming
    • Bartlett R. A., Biegler L. T.: QPSchur: a dual, active-set, schur-complement method for large-scale and structured convex quadratic programming. Optim. Eng. 7, 5-32 (2006).
    • (2006) Optim. Eng. , vol.7 , pp. 5-32
    • Bartlett, R.A.1    Biegler, L.T.2
  • 25
    • 4944247159 scopus 로고    scopus 로고
    • A methodology for fault detection, isolation, and identification for nonlinear processes with parametric uncertainties
    • Rajaraman S., Hahn J., Mannan M. S.: A methodology for fault detection, isolation, and identification for nonlinear processes with parametric uncertainties. Ind. Eng. Chem. Res. 43(21), 6774-6786 (2004).
    • (2004) Ind. Eng. Chem. Res. , vol.43 , Issue.21 , pp. 6774-6786
    • Rajaraman, S.1    Hahn, J.2    Mannan, M.S.3
  • 27
    • 34247135460 scopus 로고    scopus 로고
    • Optimal start-up and product transition policies of a reactive distillation column
    • López-Negrete R., Flores-Tlacuahuac A.: Optimal start-up and product transition policies of a reactive distillation column. Ind. Eng. Chem. Res. 46, 2092-2111 (2007).
    • (2007) Ind. Eng. Chem. Res. , vol.46 , pp. 2092-2111
    • López-Negrete, R.1    Flores-Tlacuahuac, A.2
  • 28
    • 0032075116 scopus 로고    scopus 로고
    • Large-scale DAE optimization using a simultaneous NLP formulation
    • Cervantes A. M., Biegler L. T.: Large-scale DAE optimization using a simultaneous NLP formulation. AIChE J. 44(5), 1038-1050 (1998).
    • (1998) AIChE J. , vol.44 , Issue.5 , pp. 1038-1050
    • Cervantes, A.M.1    Biegler, L.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.