A new procedure for solving differential-algebraic equations

In this article a new algorithm for solving differential-algebraic equations (DAEs) was presented. The designed procedure was based on variability constraints and reduced model of considered system equations, characterized by constant dynamics and linearized system of algebraic equations. A multiple...

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Vydáno v:2019 20th International Carpathian Control Conference (ICCC) s. 1 - 5
Hlavní autoři: Drag, Pawel, Styczen, Krystyn
Médium: Konferenční příspěvek
Jazyk:angličtina
Vydáno: IEEE 01.05.2019
Témata:
Differential equations
differential-algebraic equations
Heuristic algorithms
Mathematical model
nonlinear optimization
Optimization
process simulation
reduced DAE models
Task analysis
Trajectory
variability constraints
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Shrnutí:In this article a new algorithm for solving differential-algebraic equations (DAEs) was presented. The designed procedure was based on variability constraints and reduced model of considered system equations, characterized by constant dynamics and linearized system of algebraic equations. A multiple shooting approach was applied to divide an independent variable range into assumed number of subintervals. This approach resulted in nonlinear optimization task (NLP) with pointwise-continuous constraints. Therefore, the presented procedure was based on the efficient nonlinear optimization algorithm. Finally, some implementation issues were discussed. The effectiveness of the presented methodology was presented on a process design task subject to a nonlinear differential-algebraic model of a chemical reactor.
DOI:10.1109/CarpathianCC.2019.8766033