Soroush, Masoud; Kravaris, Costas A continuous-time formulation of nonlinear model predictive control. (English) Zbl 0849.93026 Int. J. Control 63, No. 1, 121-146 (1996). This work shows that the continuous-time error feedback globally linearizing control is an unconstrained model predictive controller with a quadratic performance index, in the limit as the prediction horizon beyond the deadtime goes to zero. Using a model predictive approach, a continuous-time nonlinear feedback control law is derived for an open-loop stable single-input single-output process with deadtime. The derived model has an explicit analytical form and various properties in the absence and in the presence of input constraints are analysed. The application of the theory is illustrated by a chemical reactor example. Reviewer: I.Valuşescu (Bucureşti) Cited in 7 Documents MSC: 93B52 Feedback control 93B51 Design techniques (robust design, computer-aided design, etc.) 93C10 Nonlinear systems in control theory Keywords:geometric control; continuous-time feedback control; model predictive; nonlinear PDFBibTeX XMLCite \textit{M. Soroush} and \textit{C. Kravaris}, Int. J. Control 63, No. 1, 121--146 (1996; Zbl 0849.93026) Full Text: DOI References: [1] BIEGLER L. T., CPC IV pp 543– (1991) [2] CHEN , C. T. , 1984 ,Linear System Theory and Design( New York : Holt , Rinehardt and Winston ), pp. 245 – 247 . [3] CUTLER , C. R. , and RAMAKER , B. L. , 1979 , Dynamic matrix control–a computer control algorithm . AIChE National Meeting , Houston , Texas , U.S.A. [4] DOI: 10.1016/0009-2509(92)80271-D · doi:10.1016/0009-2509(92)80271-D [5] DOI: 10.1021/i200033a010 · doi:10.1021/i200033a010 [6] DOI: 10.1021/i200017a016 · doi:10.1021/i200017a016 [7] DOI: 10.1002/aic.690370711 · doi:10.1002/aic.690370711 [8] DOI: 10.1002/aic.690390308 · doi:10.1002/aic.690390308 [9] DOI: 10.1016/0098-1354(90)87022-H · doi:10.1016/0098-1354(90)87022-H [10] DOI: 10.1137/0317022 · Zbl 0417.93036 · doi:10.1137/0317022 [11] DOI: 10.1016/0009-2509(85)85081-8 · doi:10.1016/0009-2509(85)85081-8 [12] ISIDORI A., Nonlinear Control Systems an Introduction, (1989) · Zbl 0569.93034 [13] Li W. C., Chemical Engineering Research Design 67 pp 562– (1989) [14] DOI: 10.1016/0098-1354(90)87020-P · doi:10.1016/0098-1354(90)87020-P [15] DOI: 10.1002/aic.690330619 · doi:10.1002/aic.690330619 [16] KRAVARIS , C. , and DAOUTIDIS , P. , 1992 , Output feedback controller realizations for nonlinear open-loop stable processes . Proceedings of the American Control Conference , pp. 2596 – 2600 . [17] MAYNE , D. Q. , and MICHALSKA , H. , 1991 , Model predictive control of nonlinear systems . Proceedings of the American Control Conference , pp. 2343 – 2347 . [18] MEHRA , R. K. , and ROUHANI , R. , 1980 , Theoretical considerations on model algorithmic control for nonminimum phase systems . Proceedings of the American Control Conference , TA8-B . [19] MEHRA , R. K. , ROUHANI , R. , and PRALY , R. , 1980 , New theoretical developments in multivariable predictive algorithmic control . Proceedings of the American Control Conference , FA9-B . [20] NIJMEIJER , H. , VAN DER SCHAFT , A. J. , 1990 ,Nonlinear Dynamical Control Systems( New York : Springer-Verlag ), pp. 242 – 296 . · Zbl 0701.93001 [21] DOI: 10.1080/00986449008940687 · doi:10.1080/00986449008940687 [22] PRETT , D. M. , and GILLETTE , R. D. , 1979 , Optimization and constrained multivariable control of a catalytic cracking unit . AIChE National Meeting , Houston , Texas . [23] RANGEL , D. , LIEN , C. Y. , and WANG , T. W. , 1990 , Application of feedback linearization to the control of nonlinear chemical reactors . AIChE Annual Meeting. [24] DOI: 10.1016/0005-1098(78)90001-8 · doi:10.1016/0005-1098(78)90001-8 [25] DOI: 10.1002/aic.690371114 · doi:10.1002/aic.690371114 [26] DOI: 10.1002/aic.690381209 · doi:10.1002/aic.690381209 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.