Stochastic identification and digital control of a heat exchanger: a simulation test case. (English) Zbl 0538.93065
Summary: An extended simulation study is presented by which the power of modern digital identification and control methodology is tested against the nontrivial dynamics of a relatively simple yet nonelementary plant. Many critical issues which may significantly affect the success of the entire design process can be discussed along the lines of this study. The plant considered here is a liquid-saturated steam heat exchanger, where the liquid flow-rate is manipulated to regulate the outlet liquid temperature. All the numerical experiments have been conducted by digital simulation of a fairly standard nonlinear distributed parameter model.
MSC:
| 93E12 | Identification in stochastic control theory |
| 62M10 | Time series, auto-correlation, regression, etc. in statistics (GARCH) |
| 93E20 | Optimal stochastic control |
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
| 93C05 | Linear systems in control theory |
| 93C55 | Discrete-time control/observation systems |
| 68U20 | Simulation (MSC2010) |
| 93C40 | Adaptive control/observation systems |
Keywords:
digital identification; steam heat exchanger; digital simulation; nonlinear distributed parameter modelReferences:
| [1] | Kucera, V., Discrete Linear Control (1979), Wiley: Wiley New York · Zbl 0422.93103 |
| [2] | Landau, L. D., Adaptive Control: The Model Reference Approach (1979), Dekker: Dekker New York · Zbl 0475.93002 |
| [3] | Franklin, G. F.; Powell, J. D., Digital Control of Dynamic Systems (1980), Addison-Wesley: Addison-Wesley Reading, Mass |
| [4] | Saridis, G., Self-organizing Control of Stochastic Systems (1980), Dekker: Dekker New York |
| [5] | Isermann, R., Digital Control Systems (1981), Springer: Springer Berlin · Zbl 0475.93003 |
| [6] | Ljung, L.; Soderström, T., Theory and Practice of Recursive Identification Methods (1983), M.I.T. Press: M.I.T. Press Cambridge, Mass · Zbl 0548.93075 |
| [7] | Gould, L. A., Chemical Process Control: Theory and Applications (1969), Addison-Wesley: Addison-Wesley Reading, Mass |
| [8] | Harriot, P., Process Control (1964), McGraw-Hill: McGraw-Hill New York |
| [9] | Rohsenow, W. M.; Hartnett, J. D., Handbook of Heat Transfer (1973), McGraw-Hill: McGraw-Hill New York |
| [10] | Ray, W. H., Advanced Process Control (1981), McGraw-Hill: McGraw-Hill New York |
| [11] | Bauer, V.; Isermann, R., On-line identification of a heat exchanger with a process computer—a casestudy, Automatica, Vol. 13, 487-496 (1977) |
| [12] | Rake, M.; Henning, K.; Schmachtenberg, H.; Frank, G.; Grisse, J.; Probst, J., Development, test and application of improved models for the dynamics of large crossflow heat exchangers, Proc. 6th IFAC Symp. Identification Syst. Parameter Estimation, 151-156 (1982), Wash., D.C. |
| [13] | Davison, E. J.; Taylor, P. A.; Wright, J. D., On the application of tuning regulators to control a commercial heat exchanger, IEEE Trans. Aut. Control, Vol. 25, 3, 361-375 (1980) |
| [14] | Proceedings of 6th IFAC Symp. Identification Syst. Parameter Estimation (1982), Section 00 and 01 |
| [15] | Clarke, D. W.; Gawthrop, P. J., Self-tuning controller, Proc. IEE, Vol. 122, 929-934 (1975) |
| [16] | Clarke, D. W.; Gawthrop, P. J., Self-tuning control, Proc. IEE, Vol. 126, 633-640 (1979) |
| [17] | Panuska, V., An adaptive recursive least-squares identification algorithm, Proc. 8th IEEE Symp. Adaptive Processes, 124-129 (1969) |
| [18] | Akaike, H., A new look to the statistical model identification, IEEE Trans. Aut. Control, Vol. AC-19, 116-123 (1974) |
| [19] | Rissanen, J., Modelling by shortest data description, Automatica, Vol. 74, 465-471 (1978) · Zbl 0418.93079 |
| [20] | Wellstead, P. E.; Prager, D. L., Self-tuning multivariable regulators, (Harris, C. J.; Billings, S. A., Self-tuning and Adaptive Control: Theory and Applications (1981), Peter Paregrinus: Peter Paregrinus Stevenage) · Zbl 0524.93042 |
| [21] | Wittenmark, B., A self-tuning regulator, (Rep. 7311 (1973), Division of Automatic Control, Lund Institute of Technology) · Zbl 0249.93049 |
| [22] | Forsythe, G. E.; Wasow, W. R., Finite Difference Methods for Partial Differential Equations (1964), Wiley: Wiley New York |
| [23] | Borsotti, G.; Cammelli, V.; Cardani, G., Simulation and computer aided design of the temperature control system of a liquid-saturated steam heat exchanger, Politecnico di Milano, Doctoral Dissertation (1979), (in Italian) |
| [24] | Åström, K. J.; Eykoff, P., System identification—a survey, Automatica, Vol. 7, 123-162 (1971) · Zbl 0219.93004 |
| [25] | Breiman, L., Probability and Stochastic Processes (1969), Houghton Mifflin: Houghton Mifflin Boston, Mass · Zbl 0192.55401 |
| [26] | Hoel, P. G., Introduction to Mathematical Statistics (1971), Wiley: Wiley New York · Zbl 0029.06302 |
| [27] | Box, G. E.P.; Jenkins, G. M., Time Series Analysis, Forecasting and Control (1970), Holden-Day: Holden-Day San Francisco, Cal · Zbl 0109.37303 |
| [28] | Malinvaud, E., Statistical Methods of Econometrics (1970), North-Holland: North-Holland Amsterdam · Zbl 0276.62095 |
| [29] | Eykhoff, P., System Identification-parameter and State Estimation (1971), Wiley: Wiley New York · Zbl 0219.93004 |
| [30] | Goodwin, G. C.; Payne, R. L., Dynamic System Identification: Experiment Design and Data Analysis (1977), Academic Press: Academic Press New York · Zbl 0578.93060 |
| [31] | Bittanti, S., Is the prediction error of a regression model white?, J. Franklin Inst., Vol. 315, 239-246 (1983) · Zbl 0515.62089 |
| [32] | Bittanti, S.; Cividini, A.; Scattolini, R., Identification of a liquid-saturated steam heat exchanger, Proc. 6th IFAC Symp. Identification Syst. Parameter Estimation, 168-173 (1981), Wash., D.C. |
| [33] | Simulation, Identification and Control of a Heat Exchanger, (Bittanti, S. (1984), Bologna: Bologna Italy), (in Italian) |
| [34] | Åström, K. J., Introduction to Stochastic Control Theory (1970), Academic Press: Academic Press New York · Zbl 0537.93048 |
| [35] | Gawthrop, P. J., Some interpretation of the self-tuning controller, Proc. IEE, Vol. 127, No. 5, 973-998 (1977) · Zbl 0437.93024 |
| [36] | Åström, K. J., Self-tuning regulators—design principles and applications, (Narendra, J.; Monopoli, V., Applied Adaptive Control (1980), Academic Press: Academic Press New York) · Zbl 0945.93561 |
| [37] | Clarke, D. W., Introduction to self-tuning controllers, (Harris, C. J.; Billings, S. A., Self-tuning and Adaptive Control: Theory and Applications (1981), Peter Peregrinus: Peter Peregrinus Stevenage) · Zbl 0524.93041 |
| [38] | Bittanti, S.; Scattolini, R., Optimal stochastic control of a liquid-saturated steam heat exchanger, (Anderson, O. D., Time Series Analysis: Theory and Practice 2 (1982), North-Holland: North-Holland Amsterdam) |
| [39] | Kurz, H.; Isermann, R.; Shumann, R., Experimental comparison and application of various parameter-adaptive control algorithms, Automatica, Vol. 16, 117-133 (1980) · Zbl 0428.93002 |
| [40] | Moden, P. E.; Söderström, T., Stationary performance of linear stochastic systems under single step optimal control, IEEE Trans. Aut. Control, Vol. AC-27, 214-216 (1982) · Zbl 0471.93070 |
| [41] | Åström, K. J.; Wittenmark, B., Self-tuning controllers based on pole-zero placement, Proc. IEE, Vol. 127, No. 3 (1980) |
| [42] | Åström, K. J.; Borisson, U.; Ljung, L.; Wittenmark, B., Theory and applications of self-tuning regulators, Automatica, Vol. 13, 457-476 (1977) · Zbl 0374.93024 |
| [43] | Self-tuning and Adaptive Control: Theory and Applications, (Harris, C. J.; Billings, S. A. (1981), Peter Peregrinus: Peter Peregrinus Stevenage) · Zbl 0497.00019 |
| [44] | Workshop on Adaptive Control, (Mosca, E. (1982), Institute of Systems and Informatics, University of Florence) |
| [45] | Clarke, D. W.; Hodgston, A. J.F., Self-tuning applied to batch reactors, (IEE Conf. Adaptive Control (1982), Hull: Hull U.K) |
| [46] | Clarke, D. W., Some implementation considerations of self-tuning controllers, (Archetti, F.; Cugiani, M., Numerical Techniques for Stochastic Systems (1980), North-Holland: North-Holland Amsterdam) · Zbl 0524.93041 |
| [47] | Bittanti, S.; Clarke, D. W.; Romeo, F.; Scattolini, R., Self-tuning control of a liquid-saturated steam heat exchanger, IFAC-IFIP Symposium on Real-time Control Applications, Vol. 1, 252-259 (1983), Guadalahara |
| [48] | Zarrop, M. B., Variable forgetting factors in parameter estimation, Proc. 6th IFAC Symp. Identification Syst. Parameter Estimation, 994-998 (1981), Wash., D.C. |
| [49] | Bauer, V. F.L., Ein directes iterations verfahren zur Hurwitz-Zerlegung eiues polynoms, Arch. Elek. Uberts, Vol. 9, 285-290 (1955), MR 17 |
| [50] | Ljung, L., Analysis of recursive stochastic algorithms, IEEE Trans. Aut. Control, Vol. AC-22, No. 4, 551-575 (1977) · Zbl 0362.93031 |
| [51] | Ljung, L., On positive real transfer functions and the convergence of some recursive schemes, IEEE Trans. Aut. Control, Vol. AC-22, No. 4, 539-550 (1977) · Zbl 0361.93063 |
| [52] | Söderström, T.; Ljung, L.; Gustavsson, I., A theoretical analysis of recursive identification methods, Automatica, Vol. 14, 231-244 (1978) · Zbl 0418.93084 |
| [53] | Solo, V., The convergence of AML, IEEE Trans. Aut. Control, Vol. AC-24, 958-962 (1979) · Zbl 0422.62083 |
| [54] | Tsypkin, Y. Z.; Avedyan, E. D.; Gulinskiy, O. V., On the convergence of recursive identification algorithms, IEEE Trans. Aut. Control, Vol. AC-26, 1009-1017 (1981) · Zbl 0474.93065 |
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