کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
158723 457016 2006 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Sliding motion of discontinuous dynamical systems described by semi-implicit index one differential algebraic equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی شیمی مهندسی شیمی (عمومی)
پیش نمایش صفحه اول مقاله
Sliding motion of discontinuous dynamical systems described by semi-implicit index one differential algebraic equations
چکیده انگلیسی

We have proposed an approach to derive a continuous system of differential algebraic equations (DAE) of index one that is dynamically equivalent to a discontinuous index one DAE system. This involves augmenting the convex combination of the ordinary differential equations with the algebraic equations from individual models. This result is proved by using the implicit function theorem. This procedure is illustrated with the help of an ideal gas–liquid system in which the algebraic variables can be expressed as explicit functions of differential variables. It is also demonstrated with an example from a soft-drink manufacturing process, in which, it is difficult to express the algebraic variables as explicit functions of differential variables. Through computer simulation, it is shown that the equivalent dynamic DAE system and the discontinuous DAE system have identical solutions. The proposed method is several orders of magnitude more efficient than the procedure that works with the discontinuous system of DAEs.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chemical Engineering Science - Volume 61, Issue 14, July 2006, Pages 4722–4731
نویسندگان
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