On-line optimization of fedbatch bioreactors by adaptive extremum seeking control

In this paper, we present an adaptive extremum seeking control scheme for fed-batch bioreactors with Haldane kinetics. The proposed adaptive extremum seeking approach utilizes the structure information of the process kinetics to derive a seeking algorithm that drives the system states to the desired setpoints that maximize the biomass production. It assumes that only the substrate concentration is available for on-line measurement. Lyapunov stability is used in the design of the extremum seeking controller structure and the development of the parameter learning laws. The performance of the approach is illustrated via numerical simulations.

[1]  Denis Dochain,et al.  Real-time optimization of fed-batch bioreactors via adaptive extremum-seeking control , 2003 .

[2]  Denis Dochain,et al.  Adaptive Extremum Seeking Control of Fed-Batch Bioreactors , 2003, Eur. J. Control.

[3]  Denis Dochain,et al.  Event Software Sensor and Adaptive Extremum Seeking Alternatives for Optimizing a Class of Fed-Batch Bioreactors , 2004 .

[4]  D. Dochain,et al.  On-Line Estimation and Adaptive Control of Bioreactors , 2013 .

[5]  T. Takamatsu,et al.  Optimal control of a semibatch fermentation , 1976, Biotechnology and bioengineering.

[6]  Denis Dochain,et al.  Application of An Adaptive Linearizing Inferential Controller To a Phb Process , 1995 .

[7]  Miroslav Krstic,et al.  Stabilization of Nonlinear Uncertain Systems , 1998 .

[8]  Jan Sternby,et al.  Extremum control systems¿An area for adaptive control? , 1980 .

[9]  Petros A. Ioannou,et al.  Robust Adaptive Control , 2012 .

[10]  Miroslav Krstic,et al.  Stability of extremum seeking feedback for general nonlinear dynamic systems , 2000, Autom..

[11]  Georges Bastin,et al.  A case study of adaptive nonlinear regulation of fed-batch biological reactors , 1995, Autom..

[12]  Sergey V. Drakunov,et al.  ABS control using optimum search via sliding modes , 1995, IEEE Trans. Control. Syst. Technol..

[13]  Denis Dochain,et al.  Adaptive extremum seeking control of continuous stirred-tank bioreactors , 2003 .

[14]  S. J. Parulekar,et al.  Optimal Control of Fed-Batch Bioreactors , 1985, 1985 American Control Conference.

[15]  Miroslav Krstic,et al.  Performance improvement and limitations in extremum seeking control , 2000 .

[16]  G Stephanopoulos,et al.  Optimization of fed‐batch penicillin fermentation: A case of singular optimal control with state constraints , 1989, Biotechnology and bioengineering.

[17]  A Cheruy,et al.  Optimization of erythromycin biosynthesis by controlling pH and temperature: theoretical aspects and practical application. , 1979, Biotechnology and bioengineering symposium.

[18]  Denis Dochain,et al.  Adaptive-control of Fedbatch Bioreactors , 1990 .

[19]  Michael Athans,et al.  Nonlinear and Adaptive Control , 1989 .

[20]  James M. Ortega,et al.  Iterative solution of nonlinear equations in several variables , 2014, Computer science and applied mathematics.