کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
173915 458617 2007 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
PI-controlled bioreactor as a generalized Liénard system
موضوعات مرتبط
مهندسی و علوم پایه مهندسی شیمی مهندسی شیمی (عمومی)
پیش نمایش صفحه اول مقاله
PI-controlled bioreactor as a generalized Liénard system
چکیده انگلیسی

It is shown that periodic orbits can emerge in Cholette’s bioreactor model working under the influence of a PI-controller. We find a diffeomorphic coordinate transformation that turns this controlled enzymatic reaction system into a generalized Liénard form. Furthermore, we give sufficient conditions for the existence and uniqueness of limit cycles in the new coordinates. We also perform numerical simulations illustrating the possibility of the existence of a local center (period annulus). A result with possible practical applications is that the oscillation frequency is a function of the integral control gain parameter.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Chemical Engineering - Volume 31, Issue 3, 19 January 2007, Pages 136–141
نویسندگان
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