메뉴 건너뛰기




Volumn 42, Issue 4, 2010, Pages 591-603

Fast Pareto set generation for nonlinear optimal control problems with multiple objectives

Author keywords

Dynamic optimization; Multiobjective optimization; Normal Boundary Intersection; Normalised Normal Constraint; Optimal control

Indexed keywords

ADD-ON MODULE; AUTOMATIC CONTROL; DETERMINISTIC APPROACH; DYNAMIC OPTIMIZATION; ENGINEERING DISCIPLINES; MULTI OBJECTIVE; MULTIPLE OBJECTIVES; MULTIPLE SHOOTING; NON-LINEAR OPTIMAL CONTROL; NORMAL BOUNDARY INTERSECTION; NORMAL BOUNDARY INTERSECTIONS; NORMALISED NORMAL CONSTRAINT; OPTIMAL CONTROL PROBLEM; OPTIMAL CONTROLS; OPTIMISATIONS; PARETO OPTIMAL SOLUTIONS; PARETO SET; PRACTICAL ENGINEERING PROBLEMS; REAL-TIME DECISION MAKING; SPEED-UPS;

EID: 80051903928     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-010-0506-x     Document Type: Article
Times cited : (111)

References (30)
  • 1
    • 0034083652 scopus 로고    scopus 로고
    • Applications of multi-objective optimization in chemical engineering
    • V Bhaskar S Gupta A Ray 2000 Applications of multi-objective optimization in chemical engineering Rev Chem Eng 16 1 54
    • (2000) Rev Chem Eng , vol.16 , pp. 1-54
    • Bhaskar, V.1    Gupta, S.2    Ray, A.3
  • 3
    • 0021606147 scopus 로고
    • SOLUTION OF DYNAMIC OPTIMIZATION PROBLEMS BY SUCCESSIVE QUADRATIC PROGRAMMING AND ORTHOGONAL COLLOCATION.
    • DOI 10.1016/0098-1354(84)87012-X
    • L Biegler 1984 Solution of dynamic optimization problems by successive quadratic programming and orthogonal collocation Comput Chem Eng 8 243 248 10.1016/0098-1354(84)87012-X (Pubitemid 15438117)
    • (1984) Computers and Chemical Engineering , vol.8 , Issue.3-4 , pp. 243-247
    • Biegler Lorenz1
  • 4
    • 34548382071 scopus 로고    scopus 로고
    • An overview of simultaneous strategies for dynamic optimization
    • DOI 10.1016/j.cep.2006.06.021, PII S0255270107001122
    • L Biegler 2007 An overview of simultaneous strategies for dynamic optimization Chemical Engineering and Processing: Process Intensification 46 1043 1053 10.1016/j.cep.2006.06.021 (Pubitemid 47361459)
    • (2007) Chemical Engineering and Processing: Process Intensification , vol.46 , Issue.11 , pp. 1043-1053
    • Biegler, L.T.1
  • 5
    • 0021903556 scopus 로고
    • A multiple shooting algorithm for direct solution of optimal control problems
    • Pergamon Press Oxford
    • Bock H, Plitt K (1984) A multiple shooting algorithm for direct solution of optimal control problems. In: Proceedings of the 9th IFAC world congress, Budapest. Pergamon Press
    • (1984) Proceedings of the 9th IFAC World Congress, Budapest
    • Bock, H.1    Plitt, K.2
  • 6
    • 0033208104 scopus 로고    scopus 로고
    • On characterizing the 'knee' of the Pareto curve based on normal-boundary intersection
    • I Das 1999 On characterizing the 'knee' of the Pareto curve based on normal-boundary intersection Struct Multidisc Optim 2-3 107 115
    • (1999) Struct Multidisc Optim , vol.23 , pp. 107-115
    • Das, I.1
  • 7
    • 0031212567 scopus 로고    scopus 로고
    • A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problems
    • 10.1007/BF01197559
    • I Das J Dennis 1997 A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problems Struct Optim 14 63 69 10.1007/BF01197559
    • (1997) Struct Optim , vol.14 , pp. 63-69
    • Das, I.1    Dennis, J.2
  • 8
    • 0032348480 scopus 로고    scopus 로고
    • Normal-boundary intersection: A new method for generating the Pareto surface in nonlinear multicriteria optimization problems
    • 0911.90287 10.1137/S1052623496307510 1627156
    • I Das J Dennis 1998 Normal-boundary intersection: a new method for generating the Pareto surface in nonlinear multicriteria optimization problems SIAM J Optim 8 631 657 0911.90287 10.1137/S1052623496307510 1627156
    • (1998) SIAM J Optim , vol.8 , pp. 631-657
    • Das, I.1    Dennis, J.2
  • 10
    • 0015094608 scopus 로고
    • On a bicriterion formulation of the problems of integrated system identification and system optimization
    • 300411
    • Y Haimes L Lasdon D Wismer 1971 On a bicriterion formulation of the problems of integrated system identification and system optimization IEEE Trans Syst Man Cybern SMC-1 296 297 300411
    • (1971) IEEE Trans Syst Man Cybern , vol.1 , pp. 296-297
    • Haimes, Y.1    Lasdon, L.2    Wismer, D.3
  • 12
  • 13
    • 17444403970 scopus 로고    scopus 로고
    • Adaptive weighted-sum method for bi-objective optimization: Pareto front generation
    • DOI 10.1007/s00158-004-0465-1
    • I Kim O de Weck 2005 Adaptive weighted-sum method for bi-objective optimization: Pareto front generation Struct Multidisc Optim 29 149 158 10.1007/s00158-004-0465-1 (Pubitemid 40536311)
    • (2005) Structural and Multidisciplinary Optimization , vol.29 , Issue.2 , pp. 149-158
    • Kim, I.Y.1    De Weck, O.L.2
  • 14
    • 31144461382 scopus 로고    scopus 로고
    • Adaptive weighted sum method for multiobjective optimization: A new method for Pareto front generation
    • DOI 10.1007/s00158-005-0557-6
    • I Kim O de Weck 2006 Adaptive weighted sum method for multiobjective optimization: a new method for Pareto front generation Struct Multidisc Optim 31 105 116 10.1007/s00158-005-0557-6 (Pubitemid 43130322)
    • (2006) Structural and Multidisciplinary Optimization , vol.31 , Issue.2 , pp. 105-116
    • Kim, I.Y.1    De Weck, O.L.2
  • 15
    • 0037441411 scopus 로고    scopus 로고
    • An efficient multiple shooting based reduced SQP strategy for large-scale dynamic process optimization. Part 1: Theoretical aspects
    • DOI 10.1016/S0098-1354(02)00158-8, PII S0098135402001588
    • D Leineweber I Bauer H Bock J Schlöder 2003 An efficient multiple shooting based reduced SQP strategy for large-scale dynamic process optimization. Part I: theoretical aspects Comput Chem Eng 27 157 166 10.1016/S0098-1354(02)00158-8 (Pubitemid 36133157)
    • (2003) Computers and Chemical Engineering , vol.27 , Issue.2 , pp. 157-166
    • Leineweber, D.B.1    Bauer, I.2    Bock, H.G.3    Schloder, J.P.4
  • 16
    • 0037440551 scopus 로고    scopus 로고
    • An efficient multiple shooting based reduced SQP strategy for large-scale dynamic process optimization part II: Software aspects and applications
    • DOI 10.1016/S0098-1354(02)00195-3, PII S0098135402001953
    • D Leineweber A Schäfer H Bock J Schlöder 2003 An efficient multiple shooting based reduced SQP strategy for large-scale dynamic process optimization. Part II: software aspects and applications Comput Chem Eng 27 167 174 10.1016/S0098-1354(02)00195-3 (Pubitemid 36133158)
    • (2003) Computers and Chemical Engineering , vol.27 , Issue.2 , pp. 167-174
    • Leineweber, D.B.1    Schafer, A.2    Bock, H.G.3    Schloder, J.P.4
  • 17
    • 67349253069 scopus 로고    scopus 로고
    • Efficient deterministic multiple objective optimal control of (bio)chemical processes
    • 10.1016/j.ces.2009.01.054
    • F Logist P Van Erdeghem J Van Impe 2009 Efficient deterministic multiple objective optimal control of (bio)chemical processes Chem Eng Sci 64 2527 2538 10.1016/j.ces.2009.01.054
    • (2009) Chem Eng Sci , vol.64 , pp. 2527-2538
    • Logist, F.1    Van Erdeghem, P.2    Van Impe, J.3
  • 18
    • 2442535151 scopus 로고    scopus 로고
    • Survey of multi-objective optimization methods for engineering
    • 10.1007/s00158-003-0368-6 2057377
    • R Marler J Arora 2004 Survey of multi-objective optimization methods for engineering Struct Multidisc Optim 26 369 395 10.1007/s00158-003-0368-6 2057377
    • (2004) Struct Multidisc Optim , vol.26 , pp. 369-395
    • Marler, R.1    Arora, J.2
  • 19
    • 34547498523 scopus 로고    scopus 로고
    • Global and well-distributed Pareto frontier by modified normalized normal constraint methods for bicriterion problems
    • DOI 10.1007/s00158-006-0071-5
    • M Martinez J Sanchis X Blasco 2007 Global and well-distributed Pareto frontier by modified normalized normal constraint methods for bicriterion problems Struct Multidisc Optim 34 197 209 10.1007/s00158-006-0071-5 2340022 (Pubitemid 47185292)
    • (2007) Structural and Multidisciplinary Optimization , vol.34 , Issue.3 , pp. 197-209
    • Martinez, M.1    Sanchis, J.2    Blasco, X.3
  • 20
    • 7044260540 scopus 로고    scopus 로고
    • Normal constraint method with guarantee of even representation of complete Pareto frontier
    • 10.2514/1.8977
    • A Messac C Mattson 2004 Normal constraint method with guarantee of even representation of complete Pareto frontier AIAA J 42 2101 2111 10.2514/1.8977
    • (2004) AIAA J , vol.42 , pp. 2101-2111
    • Messac, A.1    Mattson, C.2
  • 21
    • 0041969992 scopus 로고    scopus 로고
    • The normalized normal constraint method for generating the Pareto frontier
    • 10.1007/s00158-002-0276-1 2018726
    • A Messac A Ismail-Yahaya C Mattson 2003 The normalized normal constraint method for generating the Pareto frontier Struct Multidisc Optim 25 86 98 10.1007/s00158-002-0276-1 2018726
    • (2003) Struct Multidisc Optim , vol.25 , pp. 86-98
    • Messac, A.1    Ismail-Yahaya, A.2    Mattson, C.3
  • 24
    • 50249130727 scopus 로고    scopus 로고
    • A new perspective on multiobjective optimization by enhanced normalized normal constraint method
    • 10.1007/s00158-007-0185-4
    • J Sanchis M Martinez X Blasco J Salcedo 2008 A new perspective on multiobjective optimization by enhanced normalized normal constraint method Struct Multidisc Optim 36 537 546 10.1007/s00158-007-0185-4
    • (2008) Struct Multidisc Optim , vol.36 , pp. 537-546
    • Sanchis, J.1    Martinez, M.2    Blasco, X.3    Salcedo, J.4
  • 26
    • 0347927265 scopus 로고    scopus 로고
    • Dynamic optimization of batch processes I. Characterization of the nominal solution
    • DOI 10.1016/S0098-1354(02)00116-3, PII S0098135402001163
    • B Srinivasan S Palanki D Bonvin 2003 Dynamic optimization of batch processes I. Characterization of the nominal solution Comput Chem Eng 27 1 26 10.1016/S0098-1354(02)00116-3 (Pubitemid 36077352)
    • (2003) Computers and Chemical Engineering , vol.27 , Issue.1 , pp. 1-26
    • Srinivasan, B.1    Palanki, S.2    Bonvin, D.3
  • 28
    • 0028497977 scopus 로고
    • Solution of a class of multistage dynamic optimization problems. 1. Problems without path constraints
    • 10.1021/ie00033a014
    • V Vassiliadis R Sargent C Pantelides 1994 Solution of a class of multistage dynamic optimization problems. 1. Problems without path constraints Ind Eng Chem Res 33 2111 2122 10.1021/ie00033a014
    • (1994) Ind Eng Chem Res , vol.33 , pp. 2111-2122
    • Vassiliadis, V.1    Sargent, R.2    Pantelides, C.3
  • 29
    • 0028499633 scopus 로고
    • Solution of a class of multistage dynamic optimization problems. 2. Problems with path constraints
    • 10.1021/ie00033a015
    • V Vassiliadis R Sargent C Pantelides 1994 Solution of a class of multistage dynamic optimization problems. 2. Problems with path constraints Ind Eng Chem Res 33 2123 2133 10.1021/ie00033a015
    • (1994) Ind Eng Chem Res , vol.33 , pp. 2123-2133
    • Vassiliadis, V.1    Sargent, R.2    Pantelides, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.