%0 Journal Article
%J Control Systems Magazine
%D 2013
%T Differential Algebra for Control Systems Design. Computation of Canonical Forms.
%A Picó-Marco, E
%X Many systems can be represented using polynomial differential equations, particularly in process control, biotechnology, and systems biology [1], [2]. For example, models of chemical and biochemical reaction networks derived using the law of mass action have the form ẋ = Sv(k,x), (1) where x is a vector of concentrations, S is the stoichiometric matrix, and v is a vector of rate expressions formed by multivariate polynomials with real coefficients k . Furthermore, a model containing nonpolynomial nonlinearities can be approximated by such polynomial models as explained in "Model Approximation". The primary aims of differential algebra (DALG) are to study, compute, and structurally describe the solution of a system of polynomial differential equations,f (x,ẋ, ...,x^{(k)}) =0, (2) where f is a polynomial [3]-[6]. Although, in many instances, it may be impossible to symbolically compute the solutions, or these solutions may be difficult to handle due to their size, it is still useful to be able to study and structurally describe the solutions. Often, understanding properties of the solution space and consequently of the equations is all that is required for analysis and control design.

%B Control Systems Magazine
%V 33
%P 52 - 62
%G eng
%N 2
%& 52
%0 Journal Article
%J Journal of Process Control
%D 2012
%T Nonlinear PI control of fed-batch processes for growth rate regulation
%A Hernán De Battista
%A J Picó
%A Picó-Marco, E
%K Nonlinear observers
%B Journal of Process Control
%V 22
%P 789 - 797
%G eng
%U http://www.sciencedirect.com/science/article/pii/S0959152412000601
%R 10.1016/j.jprocont.2012.02.011
%0 Conference Paper
%B Proceedings of the 10th łdots}
%D 2007
%T Adaptive sliding mode control of fed-batch processes using specific growth rate estimation feedback
%A Hernán De Battista
%A J Picó
%A Picó-Marco, E
%B Proceedings of the 10th łdots}
%G eng
%0 Conference Paper
%B procs. 10th IFAC Computer Applications in Biotechnology
%D 2007
%T Adaptive sliding mode control of fed-batch processes using specific growth rate estimation feedback
%A Hernán De Battista
%A J Picó
%A Picó-Marco, E
%A Mazzone, V.
%B procs. 10th IFAC Computer Applications in Biotechnology
%G eng
%0 Journal Article
%J Journal of Process Control
%D 2006
%T A closed loop exponential feeding law: Invariance and global stability analysis
%A Picó-Marco, E
%A Navarro, J.L.
%A Bruno-Barcena, JM
%B Journal of Process Control
%V 16
%P 395–402
%G eng
%0 Journal Article
%J Journal of Process Control
%D 2006
%T Globally stabilizing control of fed-batch processes with Haldane kinetics using growth rate estimation feedback
%A Hernán De Battista
%A J Picó
%A Picó-Marco, E
%B Journal of Process Control
%V 16
%P 865–875
%G eng
%0 Journal Article
%J Biotechnology progress
%D 2005
%T On `Feedback stabilization of fed-batch bioreactors: non-monotonic growth kinetics'
%A Hernán De Battista
%A Picó-Marco, E
%A J Picó
%B Biotechnology progress
%V 21
%P 651–652
%G eng
%0 Book Section
%D 2005
%T Nonlinear and Adaptive Control: Theory and Algorithms for the User
%A J Picó
%A Picó-Marco, E
%A Navarro, J.L.
%A Hernán De Battista
%E Astolfi, A
%I Imperial College Press
%C London
%G eng
%0 Journal Article
%J International Journal of Control
%D 2005
%T Sliding mode scheme for adaptive specific growth rate control in biotechnological fed-batch processes
%A Picó-Marco, E
%A J Picó
%A Hernán De Battista
%B International Journal of Control
%V 78
%P 128–141
%G eng
%0 Thesis
%D 2004
%T Nonlinear Robust Control of Biotechnological Processes
%A Picó-Marco, E
%I Technical University of Valencia
%C Valencia, Spain
%G eng
%9 phd
%0 Conference Paper
%B Proceedings of the IEEE Conference on Control Applications
%D 2003
%T Partial stability for specific growth rate control in biotechnological fed-batchprocesses
%A Picó-Marco, E
%A J Picó
%B Proceedings of the IEEE Conference on Control Applications
%C Istambul, Turkey
%P 724–728
%G eng