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Combined Feedforward/Feedback Control of an Integrated Continuous Granulation Process

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Abstract

Purpose

Continuous manufacturing offers shorter processing times and increased product quality assurance, among several other advantages. This makes it an ever-growing interest among pharmaceutical companies. A suitable efficient control system is however desired for continuous pharmaceutical manufacturing to achieve a consistent predefined end product quality.

Methods

In order to control product quality more accurately, the effects of input disturbances need to be proactively mitigated. Therefore, it is desired that a combined feedforward/feedback control system integrated with suitable process analytical technology (PAT) be implemented over a traditional feedback-only control system. The feedforward controller measures and takes corrective actions for disturbances proactively before they affect the process and thereby product quality. The feedback controller considers the real-time deviation of control variable from a pre-specified set point and keeps it at a minimum possible value. The deviation of a control variable from the set point could be due to both measurable and unmeasurable disturbances.

Results

In this work, a combined control strategy has been developed for a continuous twin screw wet granulation (WG) process. An integrated flowsheet model was developed and simulated in order to evaluate the effect of control loops on critical quality attributes (CQAs). Different strategies of manipulation were evaluated and the best strategy was identified.

Conclusions

In silico study on the combined feedforward/feedback control strategy and feedback-only control strategy demonstrates that the combined loop results in diminished variability of the CQAs.

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Funding

This work is supported by Glaxo Smith Kline (GSK) and the National Science Foundation Engineering Research Center on Structured Organic Particulate Systems, through Grant NSF-ECC 0540855.

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Authors

Corresponding author

Correspondence to Ravendra Singh.

Appendices

Appendix

Feedforward Model

The feedforward controller model was developed in MATLAB workspace and Simulink. The integrated flowsheet model developed in gPROMS was converted to an integrated flowsheet model in Simulink. Transfer function models were developed from data generated by the gPROMS model. These models were developed in System Identification Toolbox and the best fit model was selected. The pole-zero plot and bode diagrams for these transfer functions were also developed to ensure that the transfer functions were stable. These transfer function models describe the various unit operations in the flowsheet. The flowsheet transfer function model is described in Fig. 36.

Fig 36
figure 36

Integrated flowsheet model simulated in Simulink (open loop)

The above transfer function model was simplified because during implementation a simplified model for the entire process would be required. The simplified process model which also represents the ideal case was developed using the data generated by the Simulink model described in Fig. 36. The feedforward controller was then developed using the disturbance model and the process model given in Fig. 37. The feedforward controller transfer function is achieved by equating the characteristic equation to zero. The general form of that is given in Eq. 10. Both the disturbance transfer function (Gd) and process transfer function (Gp) are specific to a particular process and material and would change if any changes are made to the process or the materials.

$$ {G}_{\mathrm{FF}}=-\frac{G_{\mathrm{d}}}{G_{\mathrm{p}}} $$
(10)
Fig. 37
figure 37

Integrated flowsheet with combined feedforward/feedback control in Simulink

Appendix B: Nomenclature

Abbreviations

 APAP

Acetyl-para-aminophenol

 API

Active pharmaceutical ingredient

 CPM

Continuous pharmaceutical manufacturing

 CPP

Critical process parameter

 CQA

Critical quality attribute

 CSTR

Continuously stirred tank reactor

 CU

Content uniformity

 D2R

Duration to reject

 HPMC

Hypromellose

 IAE

Integral of absolute error

 ISE

Integral of square of error

 ITAE

Integral of time absolute error

 LOD

Loss on drying

 L/S

Liquid to solid

 M2P

Magnitude to product

 MgSt

Magnesium stearate

 MPC

Model predictive control

 MRT

Mean residence time

 MSC

Multiplicative scattering correction

 NaStGly

Sodium starch glycolate

 NIR

Near infrared

 PAT

Process analytical technology

 PFR

Plug flow reactor

 PID

Proportional integral derivative

 PLS

Partial least squares

 QbD

Quality by design

 RMSE

Root mean square error

 RMSEP

Root mean square error of prediction

 RSEP

Relative standard error of prediction

 RSD

Relative standard deviation

 RTD

Residence time distribution

 SMCC

Silicified microcrystalline cellulose

 SP

Set point

 SSE

Sum of squared errors

 T2P

Time to product

 TSG

Twin screw granulator

 WG

Wet granulation

Symbol

Variable

 Gd(s)

Disturbance transfer function model

 Gp(s)

Process transfer function model

 Gc

Controller transfer function model

 P

Proportional gain

 I

Integral time constant

 D

Derivative time constant

Subscript

Description

 d

Disturbance

 p

Process

 c

Controller

 1,2,3,4

Process or controller numbers

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Cite this article

Pereira, G.C., Muddu, S.V., Román-Ospino, A.D. et al. Combined Feedforward/Feedback Control of an Integrated Continuous Granulation Process. J Pharm Innov 14, 259–285 (2019). https://doi.org/10.1007/s12247-018-9347-8

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