Control of fed-batch bioreactors models by means of dynamic time-scale transformation and operatorial parametrization

Montseny, Emmanuel

doi:10.3182/20110828-6-it-1002.03339

Cited by 1 publication

(1 citation statement)

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“…The approach no more relies on Lyapunov function but on Time-Scale Transformations (TST), that is on a nonlocal change of the time-variable. These transformations have successfully been applied on various problems, such as model singularities suppression and operatorial parametrization for nonlinear bioreactor control (Montseny, 2011(Montseny, , 2009. In this paper, we apply such a transformation to simplify the above mentionned constrained control problem into an unconstrained problem.…”

Section: Introductionmentioning

confidence: 99%

Simplification of dynamic problems by time-scale transformation: application to the nonlinear control with input positive constraints

Casenave

Montseny

2017

IFAC-PapersOnLine

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To cite this version:Céline Casenave, Emmanuel Montseny. Simplification of dynamic problems by time-scale transformation: application to the nonlinear control with input positive constraints. Abstract: In this paper, we show how time-scale transformations (TST) can be used for the control of nonlinear sytems subject to positive constraints. Such transformations, which consist in a change of the time variable, enable to define a new time-scale denoted τ in which the control problem becomes unconstrained and is therefore simplified. Classical methods such as dynamic feedback linearizing control design can then be used, leading to control laws that naturally fullfill the input positive constraints. The proposed method is applied on two concrete examples and compared with an other approach.

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Section: Introductionmentioning

confidence: 99%