What is it about?

A constrained index-one differential algebraic optimal control problem is presented. The algebraic constraint is assumed to have an index one property. With the help of implicit function theorem, the reduced constrained optimal control problem in the state-space is then obtained. The main goal of this work is to solve the present problem by using an unconstrained sequential minimization approach. The necessary mathematical requirements, conditions and proofs are developed. Based on the obtained results, computational algorithm to solve this problem approximately is developed. Numerical illustrations of constrained differential algebraic optimal control problems are implemented.

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Why is it important?

Due to the numerical results and their comparisons, an efficient approximate method is obtained.


Writing this article was a great pleasure as it has co-authors with whom I have had long standing collaborations. This article also lead to rare disease groups contacting me and ultimately to a greater involvement in rare disease research.

Ghazwa F. Abd
University of Mustansiriyah

Read the Original

This page is a summary of: Sequential unconstrained approach for solving index one constrained differential-algebraic optimal control problems, Journal of Physics Conference Series, May 2021, Institute of Physics Publishing,
DOI: 10.1088/1742-6596/1879/3/032011.
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