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Finding Optimal Discretization Orders for Molecular Distance Geometry by Answer Set Programming Read chapter Read first chapter

2016 | OriginalPaper | Chapter

Direct Shooting Method for Optimal Control of the Highly Nonlinear Differential-Algebraic Systems

Authors : Paweł Dra̧g, Krystyn Styczeń

Published in: Recent Advances in Computational Optimization

Publisher: Springer International Publishing

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Abstract

In the paper the optimal control of highly nonlinear differential-algebraic systems (DAEs) is discussed. The direct shooting method is seen as an efficient tool for control of the complex real-life technological processes, where dynamics and conservation laws are presented. To stabilize the optimization algorithm, the multiple shooting method was proposed. The multiple shooting approach introduces new decision variables and constraints to the problem, but it can preserve the stability of the process, the continuity of the differential state trajectories and enables parallel computation of the mathematical model. The conditions for the frequency of shots, to establish the well-conditioned optimization problem, are considered. The proposed method was tested on the mathematical model of the fed-batch fermentor for penicillin production process, which is a highly nonlinear multistage differential-algebraic system. The numerical simulations were executed in MATLAB environment using Wroclaw Center for Networking and Supercomputing.

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previous chapter Synthesis of Self-Adaptive Supervisors of Multi-Task Real-Time Object-Oriented Systems Using Developmental Genetic Programming
next chapter A Review on the Direct and Indirect Methods for Solving Optimal Control Problems with Differential-Algebraic Constraints
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Metadata
Title
Direct Shooting Method for Optimal Control of the Highly Nonlinear Differential-Algebraic Systems
Authors
Paweł Dra̧g
Krystyn Styczeń
Copyright Year
2016
Book
Recent Advances in Computational Optimization

Print ISBN: 978-3-319-21132-9

Electronic ISBN: 978-3-319-21133-6

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-21133-6_5

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