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14 декабря, 2021
The bioprocess control has different goals and objectives, function of bioprocess characteristics and imposed performances. In spite of high non-linearity linear control theory and basic controllers (on/off, PID) are still applied in most industrial applications.
More sophisticated control should rely on models able to correctly represent the biosystems behavior. Due to the complexity of the biological systems, basic models, which are nice to use and help to simplify the underlying mathematics, are not able to reflect the real situations. The large sets of parameters from the complex models need to be experimentally identified, and consequently the e, and consequently the experiments should be carefully designed to provide this valuable information. Taking into account the time-to-market, which must be as short as possible the accepted control solution could be suboptimal based on classical robust control.
Bioprocess reproducibility and living cell systems variability reduction from run to run is to be carefully studied. The media composition optimization and the successful application of PAT (process analytical technologies combining the techniques for in-process monitoring, data-based modeling process control) will contribute to the quality of production improvement.
In bioindustry, bioprocesses are subject to a number of local and / or supervisory control structures. Local controllers are used to get the set-point control of different physical / chemical parameters (e. g. temperature, pH and dissolved oxygen concentration), while supervisory control is necessary for optimizing the feed in a fed batch process or the dilution rate in a continuous one [23].
Various simple feed-control strategies have been applied in the past [12, 24, 25]: (a) Simple indirect feedback methods: nutrients (indirect variable) are fed to the bioreactor by an on-off controller when a direct (on-line measured) variable deviates from its set point, e. g., feeding of ammonium by monitoring the pH (pH-stat), or nutrient feeding to keep the dissolved oxygen concentration constant (DO-stat). (b) Predetermined feeding strategies; this is a feedforward strategy based on prior process knowledge, e. g., exponential feeding to grow at a constant biomass-specific growth rate. (c) Direct feedback; a substrate concentration can be directly controlled by nutrient feeding when it is measured on-line by sensors inside or outside the bioreactor. (d) Feed control by state estimation; the estimation of key-process parameters from on-line measurements can be applied and the control is based on the evolution of the growth rate or the substrate concentration.
Other advanced feed-control strategies may be applied when additional process information is available: feed-forward model-based control; feedback model-based control (an extended Kalman filter simultaneously estimates a state variable and adapt the controller); fuzzy control; neural — network control (for predictive control); expert systems (for supervisory control).
A. Bioprocess control with a priori model (model based process control)
The bioprocess control based on a priori model (BCAPM) can be seen as the on-line application of optimal control, where control actions are regularly re-calculated based on a
global process model and process information. The global model is used to calculate optimal control actions by a prediction of future outputs over a limited time horizon.
Change set of
experimental data and
repeat the flux
determination process
Figure 2. Determination of metabolic flux distribution [14]
For the time being, the unstructured deterministic models (the cells are considered as blackbox units) are very used in the bioprocess control [26]. In the future an increase of the structured models role is expected, as a consequence of modern analysis methods development, as well as of the capacity to more adequately describe the phenomena.
The basic concepts of BCAPM consider two main ideas [27, 28]: (1) the explicit use of an a priori model to predict the process output(s); (2) the calculation of the future control actions by minimizing a global objective function.
The problem can be solved in different ways: (a) for a linear, time-invariant model, and in the absence of constraints, an explicit analytic solution of the above optimization problem can be obtained; (b) with linear constraints, the above optimization problem is a QuadraticProgramming problem, which can be numerically solved; (c) in the presence of a nonlinear model or nonlinear constraints, a non-convex optimization problem must be solved at each sampling period. So iterative optimization algorithms, (e. g. the Nelder-Mead method) can be used in order to converge to local minima.
There are two major problems which limit the application of BCAPM to bioprocesses [29]: (1) the model must predict the process variables evolution with sufficient precision; (2) given a nonlinear process model, the nonlinear optimization problem is solved for each (sampling) period; hence, the bioprocess model must be linear during these time periods.
The first item obstructs the application of BCAPM to complex or partially known systems, without defined global models. The second item blocks the application to performable systems; otherwise the control techniques are not properly used, due to the short sampling time periods (the second issue can be avoided by reason of large time constants characteristic to bioprocesses).
Recent developments in on-line measurement techniques, parameter and state estimation, in addition to the search of improved quality control, motivated the development of BCAPM. Now the technique was upgraded with better results. For instance [30] the applied BCAPM for feed control in the production of monoclonal antibodies allows to improve the yield with 43%.
B. Bioprocess adaptive control
When the process characteristics change during time, the operation conditions must also be changed: controller parameters and set point values. Moreover, optimal bioprocess evolution is commonly determined off-line, the process conditions are not perfectly known, and the process model is not well defined. Furthermore, it can be a lot of changes in process conditions in conjunction with different microorganisms’ life cycles (when the cell concentration increase in time in a batch bioprocess, the oxygen set point must be increased). Hence, there is a need for some feedback mechanisms based on on-line measurements. On-line adaptation is possible when the state variables can be measured online10 (directly using hardware sensors or indirectly by soft sensors [31, 32]).
The adaptive control structures are based on the design of different estimation algorithms which are able to determine the off-line parameter values. Many control algorithms were developed based on minimal knowledge about bioprocess kinetics (the minimal modeling concept) [33-36].
A typical adaptive control system is presented below:
Figure 3. Adaptive control structure |
There are two classes of adaptive control (where the adaptation is attained on the basis of on-line parameter observers) [37]: (1) the process changes can be measured — therefore it is possible to systematically adjust the controller settings, based on the measured / anticipated bioprocess changes; (2) the process changes cannot be measured / predicted — hence the controller settings are automatically adjusted by a loop optimizer.