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Optimal Control Conditions with Differential-Algebraic Equation Constraints

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Abstract:

The paper investigates a kind of optimal control problems with restricted control variables, and the state equations of which are depicted by a general differential-algebraic equations (DAEs). A functional extreme value problem is obtained from the optimal control model with DAE constraints. By means of the variational principle, necessary conditions of optimality for the functional extreme value problems are given. In addition, a minimum condition of optimality is shown based on those necessary conditions. Then an analytical way to solve optimal control problems (OCPs) is proposed by using necessary and minimum conditions. Finally, a well-known chemical engineering model is shown to explain our results.

Keywords: DIFFERENTIAL-ALGEBRAIC EQUATION; MINIMUM CONDITION; OPTIMAL CONTROL; VARIATIONAL PRINCIPLE

Document Type: Research Article

DOI: http://dx.doi.org/10.1166/asl.2012.2300

Publication date: March 1, 2012

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  • ADVANCED SCIENCE LETTERS is an international peer-reviewed journal with a very wide-ranging coverage, consolidates research activities in all areas of (1) Physical Sciences, (2) Biological Sciences, (3) Mathematical Sciences, (4) Engineering, (5) Computer and Information Sciences, and (6) Geosciences to publish original short communications, full research papers and timely brief (mini) reviews with authors photo and biography encompassing the basic and applied research and current developments in educational aspects of these scientific areas.
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