@article {237,
	title = {Growth rate maximization in fed-batch processes using high order sliding controllers and observers based on cell density measurement},
	journal = {Journal of Process Control},
	volume = {68},
	year = {2018},
	month = {04/2018},
	pages = {23 - 33},
	abstract = {<p>A novel extremum seeking scheme is proposed for the optimization of the specific growth rate in fed-batch processes with substrate inhibited kinetics. The proposed controller is based on a high order sliding mode algorithm, which uses the gradient of the specific growth rate as switching coordinate. A gradient estimation is obtained through a high order sliding mode observer. Both the control and gradient estimation algorithms are finite-time stable. The stability of the controller is analysed using Lyapunov functions for both the unperturbed and perturbed cases and guidelines for the algorithm tuning are provided. The controller and observer algorithms are numerically assessed and simulation results are obtained for a set of different scenarios.</p>
},
	keywords = {extremum seeking, Fed-batch, Gradient, Sliding mode},
	issn = {0959-1524},
	doi = {https://doi.org/10.1016/j.jprocont.2018.04.003},
	url = {https://www.sciencedirect.com/science/article/pii/S0959152418300659},
	author = {Jamilis, Mart{\'\i}n and Garelli, Fabricio and De Battista, Hern{\'a}n}
}
@article {211,
	title = {Smooth extremum-seeking control for fed-batch processes},
	journal = {IFAC-PapersOnLine},
	volume = {49},
	year = {2016},
	pages = {103 - 108},
	abstract = {<p>Many biotechnological processes have optimal substrate concentrations where a maximum growth rate is achieved. In this work an extremum seeking controller and a gradient estimator are proposed to maximize the growth rate in fed-batch bioprocesses even when the substrate to growth rate map is unknown. Both the controller and estimator are obtained with high order sliding mode algorithms. Stability proofs are given, and tools to tune the algorithms in terms of bounds of the hessian of the map are derived. Simulation results that illustrate the performance of the controller are shown.</p>
},
	keywords = {extremum seeking},
	issn = {2405-8963},
	doi = {http://dx.doi.org/10.1016/j.ifacol.2016.07.224},
	url = {http://www.sciencedirect.com/science/article/pii/S2405896316304311},
	author = {Jamilis, Mart{\'\i}n and Garelli, Fabricio and De Battista, Hern{\'a}n}
}
