Optimal control of multistage systems described by high-index differential-algebraic equations

An algorithm is described for computing time-varying controls and time-invariant parameters to optimize the performance of a dynamic system whose behaviour is described by differential-algebraic equations (DAEs) of arbitrary index.

[1]  C. W. Gear,et al.  ODE METHODS FOR THE SOLUTION OF DIFFERENTIAL/ALGEBRAIC SYSTEMS , 1984 .

[2]  Lorenz T. Biegler,et al.  Simultaneous strategies for optimization of differential-algebraic systems , 1990 .

[3]  Rein Luus,et al.  Evaluation of gradients for piecewise constant optimal control , 1991 .

[4]  O. A. Asbjornsen,et al.  Simultaneous optimization and solution of systems described by differential/algebraic equations , 1987 .

[5]  Linda R. Petzold,et al.  Numerical solution of initial-value problems in differential-algebraic equations , 1996, Classics in applied mathematics.

[6]  C. W. Gear,et al.  Differential-algebraic equations index transformations , 1988 .

[7]  Sven Erik Mattsson,et al.  Index Reduction in Differential-Algebraic Equations Using Dummy Derivatives , 1993, SIAM J. Sci. Comput..

[8]  R. Bachmann,et al.  ON METHODS FOR REDUCING THE INDEX OF DIFFERENTIAL ALGEBRAIC EQUATIONS , 1990 .

[9]  A. W. Westerberg,et al.  A proposed numerical algorithm for solving nonlinear index problems , 1990 .

[10]  Ken R. Morison,et al.  Optimization of multistage processes described by differential-algebraic equations , 1986 .

[11]  R.W.H. Sargent,et al.  Off Line Computation of Optimum Controls for a Plate Distillation Column* Calcul en dehors du circuit des commandes optimales pour une colonne de distillation h plateaux Off-line-Berechnung optimaler Regelungen f'tir den Boden einer Destillationskolonne , 1970 .

[12]  Kok Lay Teo,et al.  Control parametrization: A unified approach to optimal control problems with general constraints , 1988, Autom..

[13]  C. Pantelides The consistent intialization of differential-algebraic systems , 1988 .

[14]  D. Himmelblau,et al.  Optimal control via collocation and non-linear programming , 1975 .

[15]  Per Lötstedt,et al.  Numerical solution of nonlinear differential equations with algebraic contraints II: practical implications , 1986 .

[16]  J. E. Cuthrell,et al.  On the optimization of differential-algebraic process systems , 1987 .

[17]  G. R. Sullivan,et al.  The development of an efficient optimal control package , 1978 .

[18]  Constantinos C. Pantelides,et al.  Optimal Control of Systems Described by Index Two Differential-Algebraic Equations , 1995, SIAM J. Sci. Comput..