We consider the output disturbance rejection problem for linear first-order hyperbolic systems with anti-collocated boundary input and output. We employ backstepping to construct the controller. We incorporate an integral action into the target system, yielding a Delay Differential Equation (DDE) and use a classical result to obtain a...
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July 6, 2016 (v1)Conference paperUploaded on: February 28, 2023
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2016 (v1)Journal article
In this paper, we consider the problems of stability analysis and control synthesis for first-order hyperbolic linear Partial Differential Equations (PDEs) over a bounded interval with spatially varying coefficients. We propose Linear Matrix Inequalities (LMI) conditions for the stability and for the design of boundary and distributed control...
Uploaded on: March 1, 2023 -
July 2019 (v1)Journal article
Microalgae are microorganisms which have been only recently used for biotechnological applications, especially in the perspective of biofuel production. Here we focus on the shape optimization and optimal control of an innovative process where the microalgae are fixed on a support. They are thus successively exposed to light and dark...
Uploaded on: February 22, 2023 -
January 22, 2019 (v1)Report
Microalgae are microorganisms which have been only recently used for biotechnological applications, especially in the perspective of biofuel production. Here we focus on the shape optimization and optimal control of an innovative process where the microalgae are fixed on a support. They are thus successively exposed to light and dark...
Uploaded on: December 4, 2022 -
2018 (v1)Conference paper
We consider the problem of output feedback regulationfor a linear first-order hyperbolic system with collocatedinput and output in presence of a general class of disturbancesand noise. The proposed control law is designed through abackstepping approach incorporating an integral action. Toensure robustness to delays, the controller only cancels...
Uploaded on: February 28, 2023 -
May 2018 (v1)Journal article
Hydrodynamics in a high-rate production reactor for microalgae cultivation affects the light history perceived by cells. The interplay between cell movement and medium turbidity leads to a complex light pattern, whose forcing effects on photosynthesis and photoacclimation dynamics are non-trivial. Hydrodynamics of high density algal ponds mixed...
Uploaded on: December 4, 2022