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In the article a 3-dimensional filter method for solving optimal control problems of differential-algebraic equations (DAEs) was presented. Direct multiple shooting method, which is appropriate for the control problems of the multistage DAE systems, leads to the large-scale nonlinear programming problems. In the proposed approach the extended Fletcher's filter with three inputs was used. The filter...
In the article a new approach for control of a pressure-constrained batch reactor and a new multi-step optimization algorithm were presented. The considered batch reactor was described by both differential and algebraic equations. State constraints incorporate always difficulties into a mathematical model of the reactor, so a new algorithm based on a multiple shooting SQP-line search method was proposed...
Optimal control problem for state-constrained differential-algebraic (DAE) systems is considered. Such problems can be attacked by the multiple shooting approach well suited to unstable and ill-conditioned dynamic systems. According to this approach the control interval is partitioned into shorter intervals allowing the parallelization of computations with the reliable using of DAE solvers. A new...
Optimal control problem for parabolic differential-algebraic equations (PDAE) systems with spatially sensitive state-constraints and technological constraints is considered. Multipoint shooting approach is proposed to attack such problems. It is well suited to deal with unstable and ill-conditioned PDAE systems. This approach consists in the partitioning of the time-space domain into shorter layers,...
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