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A study on the adaptive predictive control method for multivariable bilinear processes

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Abstract

A predictive control method for multivariable bilinear processes is derived based on ARMA model. To identify bilinear process models, we use simple equation error method extended to multivariable system. We can obtain the adaptive predictive controller for multivariable bilinear processes by incorporation of the identification algorithm. Offset compensator is provided to correct for the effects of unmeasured disturbances and model inaccuracies. A filter with a singled parameter is used to correct for the effects of an incorrect model. Results of simulation on multivariable bilinear processes show that the proposed control method has satisfactory performance.

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References

  • Clarke, D. W., Mohyadi, C. and Tuffs, P. S., “Generalized Predictive Control-Part I. The Basic Algorithm”,Automatica,23, 137 (1987a).

    Article  Google Scholar 

  • Clarke, D. W., Mohyadi, C. and Tuffs, P. S., “Generalized Predictive Control-Part II. Extensions and Interpretations”,Automatica,23, 139 (1987b).

    Google Scholar 

  • Clarke, D.W., “Application of Generalized Predictive Control to Industrial Processes”,IEEE Control Magazine,8, 49(1988).

    Article  Google Scholar 

  • Cluett, W. R., Shah, S. L. and Fisher, D. G., “Adaptive Control of a Batch Reactor”,Chem. Eng. Commun.,38, 67 (1985).

    Article  CAS  Google Scholar 

  • Demircioglu, H. and Clarke, D. W., “Generalized Predictive Control with End-point State Weighting”,IEE Proceedings-D,140, 275 (1993).

    Google Scholar 

  • Frick, P. A. and Valvavi, A. S., “Estimation and Identification of Bilinear Systems”,Atomat Contr. Theory and Applications,6, 1 (1978).

    Google Scholar 

  • Kouvaritakis, B. and Rossiter, J. A., “Constrained Stable Generalized Predictive Control”,IEE Proceedings-D,140, 243 (1993a).

    Google Scholar 

  • Kouvaritakis, B. and Rossiter, J. A., “Mutivariable Stable Generalized Predictive Control”,IEE Proceedings-D,140, 364 (1993b).

    Google Scholar 

  • Kubrusly, C. S., “Identification of Discrete-Time Stochastic Bilinear Systems”,Int. J. Control,33, 291(1981).

    Article  Google Scholar 

  • Lee, K. S. and Lee, W. K., “Extended Discrete-Time Multivariable Adaptive Control Using Long-Term Predictor”,Int. J. Control. 38, 495(1983).

    Article  Google Scholar 

  • Martin-Sanchez, J. M. and Shah, S. L., “Multivariable Adaptive Predictive Control of a Binary Distillation Column”,Automatica,20, 607 (1984).

    Article  Google Scholar 

  • Martin-Sanchez, J. M., Shah, S. L. and Fisher, D. G., “A Stable Adaptive Predictive Control System”.Int. J. Control,39, 215 (1984).

    Article  Google Scholar 

  • Mohler, R. P. and Kalodzies, W. J., “An Overview of Bilinear System Theory and Applications”, IEEE Trans. Syst. Man, Cybern., SMC-10, 683 (1980).

    Google Scholar 

  • Samson, C., “Stability Analysis of Adaptively Controlled Systems Subject to Bounded Disturbances”,Automatica,19. 81(1983).

    Article  Google Scholar 

  • Wang, M. L., Chang, R. Y. and Yang, S. Y., “Analysis and Parameter Estimation of Bilinear Systems via Generalized Orthogonal Polynomials”,Int. J. Control,16, 641(1985).

    Google Scholar 

  • Yeo, Y. K., “Adaptive and Non-adaptive Bilinear Model Predictive Control”, Ph.D. Dissertation, Auburn University, Auburn, AL (1986).

    Google Scholar 

  • Zhang, Y. G., “Identification of a Class of Stochastic Bilinear Systems”,Int. J. Control,38, 991(1983).

    Article  Google Scholar 

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Oh, S.C., Yeo, YK. A study on the adaptive predictive control method for multivariable bilinear processes. Korean J. Chem. Eng. 12, 472–477 (1995). https://doi.org/10.1007/BF02705813

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  • DOI: https://doi.org/10.1007/BF02705813

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