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Volumn 29, Issue 6, 2008, Pages 445-466

Direct optimization of dynamic systems described by differential-algebraic equations

Author keywords

Nonlinear optimal control; Nonlinear programming problem; Parameter identification; Rosenbrock wanner method

Indexed keywords

DIFFERENTIAL EQUATIONS; DYNAMIC PROGRAMMING; NONLINEAR PROGRAMMING; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; PAPER; PROBABILITY DENSITY FUNCTION;

EID: 56849103078     PISSN: 01432087     EISSN: 10991514     Source Type: Journal    
DOI: 10.1002/oca.838     Document Type: Article
Times cited : (14)

References (49)
  • 4
  • 5
    • 0038741776 scopus 로고    scopus 로고
    • Direct shooting method for the numerical solution of higher-index DAE optimal control problems
    • Gerdts M. Direct shooting method for the numerical solution of higher-index DAE optimal control problems. Journal of Optimization Theory and Applications 2003; 117:267-294.
    • (2003) Journal of Optimization Theory and Applications , vol.117 , pp. 267-294
    • Gerdts, M.1
  • 6
    • 34249066056 scopus 로고
    • Gradient algorithms for the optimization of dynamic systems
    • Miele A. Gradient algorithms for the optimization of dynamic systems. Control and Dynamic Systems 1980; 1-52.
    • (1980) Control and Dynamic Systems , pp. 1-52
    • Miele, A.1
  • 9
    • 0032021498 scopus 로고    scopus 로고
    • Survey of numerical methods for trajectory optimization
    • Betts JT. Survey of numerical methods for trajectory optimization. AIAA Journal Guidance, Control, and Dynamics 1998; 21:193-207.
    • (1998) AIAA Journal Guidance, Control, and Dynamics , vol.21 , pp. 193-207
    • Betts, J.T.1
  • 10
    • 0023397367 scopus 로고
    • On the optimization of differential-algebraic process systems
    • Cuthrell JE, Biegler LT On the optimization of differential-algebraic process systems. AIChE Journal 1987; 33:1257-1270.
    • (1987) AIChE Journal , vol.33 , pp. 1257-1270
    • Cuthrell, J.E.1    Biegler, L.T.2
  • 13
    • 0040506000 scopus 로고
    • Numerical solution of nonlinear multipoint boundary value problems with application to optimal control
    • Bock HG. Numerical solution of nonlinear multipoint boundary value problems with application to optimal control. Zeitschrift für Angewandte Mathematik und Mechanik 1978; 58:T407-T409.
    • (1978) Zeitschrift für Angewandte Mathematik und Mechanik , vol.58
    • Bock, H.G.1
  • 14
    • 0041583456 scopus 로고    scopus 로고
    • Indirect numerical solution of constrained optimal control problems with parameters
    • Fabien BC. Indirect numerical solution of constrained optimal control problems with parameters. Applied Mathematics and Computation 1996; 80:43-62.
    • (1996) Applied Mathematics and Computation , vol.80 , pp. 43-62
    • Fabien, B.C.1
  • 15
  • 16
    • 0003248786 scopus 로고    scopus 로고
    • Numerical Methods for Optimal Control Problems with State Constraints
    • Springer: Berlin
    • Pytlak R. Numerical Methods for Optimal Control Problems with State Constraints. Lecture Notes in Mathematics, vol. 1707. Springer: Berlin, 1999.
    • (1999) Lecture Notes in Mathematics , vol.1707
    • Pytlak, R.1
  • 17
    • 0001307871 scopus 로고
    • Direct and indirect methods for trajectory optimization
    • Stryk O, Bulirsch R. Direct and indirect methods for trajectory optimization. Annals of Operations Research 1992; 37:357-373.
    • (1992) Annals of Operations Research , vol.37 , pp. 357-373
    • Stryk, O.1    Bulirsch, R.2
  • 18
    • 0031612745 scopus 로고    scopus 로고
    • Some tools for the direct solution of optimal control problems
    • Fabien BC. Some tools for the direct solution of optimal control problems. Advances in Engineering Software 1998; 29:45-61.
    • (1998) Advances in Engineering Software , vol.29 , pp. 45-61
    • Fabien, B.C.1
  • 19
    • 0024000080 scopus 로고
    • MISER: A FORTRAN program for solving optimal control problems
    • Goh CJ, Teo KL. MISER: a FORTRAN program for solving optimal control problems. Advances in Engineering Software 1988; 10:319-322.
    • (1988) Advances in Engineering Software , vol.10 , pp. 319-322
    • Goh, C.J.1    Teo, K.L.2
  • 20
    • 0028513306 scopus 로고
    • Algorithm 733: TOMP-Fortran modules for optimal control calculations
    • Kraft D. Algorithm 733: TOMP-Fortran modules for optimal control calculations. ACM Transactions on Mathematical Software 1994; 20:262-307.
    • (1994) ACM Transactions on Mathematical Software , vol.20 , pp. 262-307
    • Kraft, D.1
  • 21
    • 0030191875 scopus 로고    scopus 로고
    • Consistent approximations for optimal control problems based on Runge-Kutta integration
    • Schwartz A, Polak E. Consistent approximations for optimal control problems based on Runge-Kutta integration. SIAM Journal on Control and Optimization 1996; 34:1235-1269.
    • (1996) SIAM Journal on Control and Optimization , vol.34 , pp. 1235-1269
    • Schwartz, A.1    Polak, E.2
  • 22
    • 0021903556 scopus 로고
    • A multiple shooting algorithm for direct solution of optimal control problems
    • Budapest, Hungary
    • Bock HG, Plitt KJ. A multiple shooting algorithm for direct solution of optimal control problems. IFAC 9th Triennial World Congress, Budapest, Hungary, 1984; 1603-1608.
    • (1984) IFAC 9th Triennial World Congress , pp. 1603-1608
    • Bock, H.G.1    Plitt, K.J.2
  • 24
    • 44049118961 scopus 로고
    • Penalty function solutions to optimal control problems with general constraints via a dynamic optimization method
    • Snyman JA, Frangos C, Yavin Y. Penalty function solutions to optimal control problems with general constraints via a dynamic optimization method. Computers and Mathematics with Applications 1992; 23:47-55.
    • (1992) Computers and Mathematics with Applications , vol.23 , pp. 47-55
    • Snyman, J.A.1    Frangos, C.2    Yavin, Y.3
  • 29
    • 0042819714 scopus 로고    scopus 로고
    • ROS3P-an accurate third-order Rosenbrock solver designed for parabolic problems
    • Lang J, Verwer J. ROS3P-an accurate third-order Rosenbrock solver designed for parabolic problems. BIT 2001; 41:731-738.
    • (2001) BIT , vol.41 , pp. 731-738
    • Lang, J.1    Verwer, J.2
  • 30
    • 0009695901 scopus 로고
    • Rosenbrock methods for differential-algebraic systems with solution-dependent singular matrix multiplying the derivative
    • Lubich Ch, Roche M. Rosenbrock methods for differential-algebraic systems with solution-dependent singular matrix multiplying the derivative. Computing 1990; 43:325-342.
    • (1990) Computing , vol.43 , pp. 325-342
    • Lubich, C.1    Roche, M.2
  • 31
    • 2942568884 scopus 로고    scopus 로고
    • An adaptive method of lines approach for modeling flow and transport in rivers
    • Vande Wouwer A, Saucez Ph, Schiesser WE eds, Chapman & Hall: London
    • Steinebach G, Rentrop P. An adaptive method of lines approach for modeling flow and transport in rivers. In Adaptive Method of Lines, Vande Wouwer A, Saucez Ph, Schiesser WE (eds). Chapman & Hall: London, 2001.
    • (2001) Adaptive Method of Lines
    • Steinebach, G.1    Rentrop, P.2
  • 32
    • 0025250883 scopus 로고
    • Avoiding the exactness of the Jacobian matrix in Rosenbrock formulae
    • Zedan H. Avoiding the exactness of the Jacobian matrix in Rosenbrock formulae. Computers and Mathematics with Applications 1990; 18:82-89.
    • (1990) Computers and Mathematics with Applications , vol.18 , pp. 82-89
    • Zedan, H.1
  • 33
    • 0034453343 scopus 로고    scopus 로고
    • Second-order Runge-Kutta approximations in control constrained optimal control
    • Dontchev AL, Hager WW, Veliov VM. Second-order Runge-Kutta approximations in control constrained optimal control. SIAM Journal on Numerical Analysis 2000; 38:202-226.
    • (2000) SIAM Journal on Numerical Analysis , vol.38 , pp. 202-226
    • Dontchev, A.L.1    Hager, W.W.2    Veliov, V.M.3
  • 34
    • 56849128070 scopus 로고    scopus 로고
    • On the convergence of linearized implicit Runge-Kutta methods and their use in parameter optimization
    • Gerdts M. On the convergence of linearized implicit Runge-Kutta methods and their use in parameter optimization. Mathematica Balkanica 2005; 19(1-2):75-83.
    • (2005) Mathematica Balkanica , vol.19 , Issue.1-2 , pp. 75-83
    • Gerdts, M.1
  • 35
    • 0025260308 scopus 로고
    • Continuous extensions of Rosenbrock-type methods
    • Ostermann A. Continuous extensions of Rosenbrock-type methods. Computing 1990; 44:59-68.
    • (1990) Computing , vol.44 , pp. 59-68
    • Ostermann, A.1
  • 38
    • 40849134476 scopus 로고    scopus 로고
    • ∞ exact penalty function and strictly convex quadratic programming problems
    • DOI: 10.1016/j.amc.2007.09.028
    • ∞ exact penalty function and strictly convex quadratic programming problems. Applied Mathematics and Computation 2007. DOI: 10.1016/j.amc.2007.09.028.
    • (2007) Applied Mathematics and Computation
    • Fabien, B.C.1
  • 40
    • 0026173397 scopus 로고
    • Exact penalty function algorithm with simple updating of the penalty parameter
    • Pantoja J, Mayne DQ. Exact penalty function algorithm with simple updating of the penalty parameter. Journal of Optimization Theory and Applications 1991; 69:441-467.
    • (1991) Journal of Optimization Theory and Applications , vol.69 , pp. 441-467
    • Pantoja, J.1    Mayne, D.Q.2
  • 41
    • 56849100842 scopus 로고    scopus 로고
    • Pshenichnyi BN. The Linearization Method for Constrained Optimization. Springer: New York, 1994 (translated from Russian by Stephen S. Wilson).
    • Pshenichnyi BN. The Linearization Method for Constrained Optimization. Springer: New York, 1994 (translated from Russian by Stephen S. Wilson).
  • 42
    • 0023295044 scopus 로고
    • Globally convergent algorithm for nonlinearly constrained optimization problems
    • Sahba M. Globally convergent algorithm for nonlinearly constrained optimization problems. Journal of Optimization Theory and Applications 1987; 52:291-309.
    • (1987) Journal of Optimization Theory and Applications , vol.52 , pp. 291-309
    • Sahba, M.1
  • 44
    • 0026205566 scopus 로고
    • Avoiding the Maratos effect by means of nonmonotone line search I. General constrained problems
    • Panier E, Tits A. Avoiding the Maratos effect by means of nonmonotone line search I. General constrained problems. SIAM Journal on Numerical Analysis 1991; 28:1183-1195.
    • (1991) SIAM Journal on Numerical Analysis , vol.28 , pp. 1183-1195
    • Panier, E.1    Tits, A.2
  • 45
    • 0002207938 scopus 로고
    • A fast algorithm for nonlinearly constrained optimization calculations
    • Numerical Analysis, Dundee 1977, Watson GA ed, Springer: Berlin
    • Powell M. A fast algorithm for nonlinearly constrained optimization calculations. In Numerical Analysis, Dundee 1977, Watson GA (ed.). Lecture Notes in Mathematics, vol. 630. Springer: Berlin, 1978; 144-157.
    • (1978) Lecture Notes in Mathematics , vol.630 , pp. 144-157
    • Powell, M.1
  • 46
    • 0020826623 scopus 로고
    • A numerically stable dual method for solving strictly convex quadratic programs
    • Goldfarb D, Idnani A. A numerically stable dual method for solving strictly convex quadratic programs. Mathematical Programming 1983; 27:1-33.
    • (1983) Mathematical Programming , vol.27 , pp. 1-33
    • Goldfarb, D.1    Idnani, A.2
  • 49
    • 34248570267 scopus 로고    scopus 로고
    • The influence of failure criteria on the design optimization of stacked-ply composite flywheels
    • Fabien BC. The influence of failure criteria on the design optimization of stacked-ply composite flywheels. Structural and Multidisciplinary Optimization 2007; 33:507-517.
    • (2007) Structural and Multidisciplinary Optimization , vol.33 , pp. 507-517
    • Fabien, B.C.1


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