PI-controlled bioreactor as a generalized Liénard system
نویسندگان
چکیده
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 oordinate transformation that turns this controlled enzymatic reaction system into a generalized Liénard form. Furthermore, we give sufficient onditions for the existence and uniqueness of limit cycles in the new coordinates. We also perform numerical simulations illustrating the possibility f the existence of a local center (period annulus). A result with possible practical applications is that the oscillation frequency is a function of the ntegral control gain parameter. 2006 Elsevier Ltd. All rights reserved.
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عنوان ژورنال:
- Computers & Chemical Engineering
دوره 31 شماره
صفحات -
تاریخ انتشار 2007