Abstract
In the article a new approach for control of differential-algebraic systems with inconsistent initial conditions were presented. The consistent initial conditions could be difficult to obtain, for example, in the fed-batch penicillin fermentation process. Additionally difficulties were incorporated by constraints on the differential state trajectories. For this purposes a new algorithm based on a multiple shooting SQP-line search method was proposed. To ensure a stability of the solution, the multiple shooting approach were used. By division a system into smaller subsystems, as a result a large-scale problem was obtained. The proposed algorithm can be applied to a wide class of differential-algebraic systems in booth chemical and mechanical engineering. The simulations were executed in Matlab environment using Wroclaw Centre for Networking and Supercomputing.
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The project was supported by the grant of National Science Centre Poland DEC-2012/07/B/ST7/01216.
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Dra̧g, P., Styczeń, K. (2015). Multiple Shooting SQP Algorithm for Optimal Control of DAE Systems with Inconsistent Initial Conditions. In: Fidanova, S. (eds) Recent Advances in Computational Optimization. Studies in Computational Intelligence, vol 580. Springer, Cham. https://doi.org/10.1007/978-3-319-12631-9_4
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DOI: https://doi.org/10.1007/978-3-319-12631-9_4
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