Abstract
The importance of a number of practical issues when implementing nonlinear model predictive control on a drug infusion system are shown. The motivation for this system is a patient under congestive heart failure (heart attack) conditions. The control objective is to adjust the infusion rate of drugs to maintain the patient’s blood pressure and blood flowrate at desired values. A selective linearization technique is introduced to reduce the computation time for the model prediction step. A rule-based override procedure is developed to initialize the drug delivery rates to avoid unacceptably slow responses and operation in the ‘forbidden zone’. The performance of the multirate rule-based override model predictive control is illustrated through simulation examples.
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References
Sistu, P.B. and B.W. Bequette (1991) “Nonlinear Predictive Control of Uncertain Processes: Application to a CSTR,” AIChE J. 37(11), 1711–1723.
Bequette, B.W. (1991), “Nonlinear Control of Chemical Processes: A Review”, Ind. Eng. Chem. Res., 30, 1391–1413.
Ramamurthi, Y., P.B. Sistu and B.W. Bequette, “Control-Relevant Data Reconciliation and Parameter Estimation,” Comp. Chem. Engng. 17(1), 41–59 (1993).
Robertson, D., J.H. Lee and J.B. Rawlings (1994), “A Moving Horizon-Based Approach for Least Squares State Estimation,” submitted to AIChE J.
Ricker, N.L. (1991), “Model Predictive Control: State of the Art”, CPC IV-Proceedings of the Fourth International Conference on Chemical Process Control, Padre Island, TX, 271–296, CACHE.
Gattu, G. and E. Zafiriou (1992), “Nonlinear Quadratic Matrix Control with State Estimation,” Ind. Eng. Chem. Res., 31(4), 1096–1104.
Sistu, P.B., R.S. Gopinath and B.W. Bequette (1993), “Computational Issues in Nonlinear Predictive Control”, Computers Chem Engng., 17(4), 361–366.
Garcia, C.E. (1984), “Quadratic Dynamic Matrix Control of Nonlinear Processes: An Application to a Batch Reaction Process”, AIChE Annual Meeting, San Francisco.
Yu, C.L., R.J. Roy and H. Kaufman (1990), “A Circulatory Model for Combined Nitroprusside-Dopamine Therapy in Acute Heart Failure”, Medical Progress Through Technology, 16, 77–88.
Yu, C.L. (1990), Adaptive Control of Cardiac Output and Mean Arterial Pressure Using Multiple Drug Infusion, Ph.D. Thesis, Rensselaer Polytechnic Institute, Troy, NY.
Gopinath, R.S., B.W. Bequette, R.J. Roy and H. Kaufman (1994), “Issues in the Design of a Multirate Model-Based Controller for a Nonlinear Drug Infusion System,” Biotechnology Progress, in press.
Wesseling, K.H., J.J. Settels, H.G. Walstra, H.J. van Esch and J.H. Donders (1983), “Baromodulation as the Cause of Short Term Blood Pressure Variability?” In G. Alberi, Z. Bajzer and P. Baxa (eds) Proceedings of the International Conference on Application of Physics to Medicine and Biology. Singapore: World Scientific Publishing, pp 247–277.
Sistu, P.B. and B.W. Bequette (1994), “Model Predictive Control of Processes with Input Multiplicities”, Chem. Eng. Sci., in press.
Gingrich, K.J. and R.J. Roy (1991), “Modeling the Hemodynamic Response to Dopamine in Acute Heart Failure”, IEEE Trans. Biomed. Eng., 18(3), 267–272.
Held, C.M., and R.J. Roy (1993), “Multiple Drug Hemodynamic Control by Means of a Supervisory-Fuzzy Rule-Based Adaptive Control System: Validation on a Model” IEEE Trans. Automatic Control, submitted.
García, C.E. and A.M. Morshedi (1986), “Quadratic Programming Solution of Dynamic Matrix Control (QDMC)”, Chem. Eng. Commun., 46, 73–87.
Gopinath, R.S. and B.W. Bequette (1991), “Multirate Model Predictive Control: An Analysis for Single-Input Single-Output Systems,” in Preprints of the Fourth International Symposium on Process Systems Engineering (PSE’ 91), II.5.1–15, Montebello, Quebec.
Gopinath, R.S. (1994), “Model Predictive Control of Multirate Sampled-Data Processes,” Ph.D. Thesis, Rensselaer Polytechnic Institute, Troy, NY.
Prett, D.M. and C.E. García (1988), Fundamental Process Control, Butterworths, Stoneham, MA.
García, C.E., D.M. Prett and M. Morari (1989), “Model Predictive Control: Theory and Practice — A Survey”, Automatica, 23(3), 335–348.
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© 1995 Springer Science+Business Media Dordrecht
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Gopinath, R.S., Bequette, B.W. (1995). The Design of Nonlinear Predictive Controllers: Application to a Drug Infusion System. In: Berber, R. (eds) Methods of Model Based Process Control. NATO ASI Series, vol 293. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0135-6_22
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DOI: https://doi.org/10.1007/978-94-011-0135-6_22
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