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Approximation of the optimal minimum-phase output for control of nonlinear nonminimum-phase processes

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Abstract

Nonminimum-phase parts are better removed in the feedback loop like the time delay term. For this, Wright and Kravaris [1992] proposed the concept of optimal minimum-phase output to control nonlinear nonminimumphase processes. However, their optimal minimum-phase output has no analytic solutions for processes with more than three state variables. Here, methods for analytic minimum-phase outputs approximating the optimal ones are proposed, having no limitations in the number of state variables. The proposed methods provide analytic solutions for processes with three state variables and simple numerical solutions for those with more state variables.

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References

  • Baumann, W. T. and Rugh, W. J., “Feedback Control of Nonlinear Systems by Extended Linearization,”IEEE Trans. Automatic Control,AC-13, 40 (1986).

    Article  Google Scholar 

  • Garcia, C. E. and Morari, M., “Internal Model Control: 1. A Unifying Review and Some New Results,”I&EC Proc. Des. Dev.,21, 308 (1982).

    Article  CAS  Google Scholar 

  • Hunt, L. R., Su, R. and Meyer, G., “Global Transformation of Nonlinear Systems,”IEEE Trans. Automatic Control,AC-28, 24 (1983).

    Article  Google Scholar 

  • Kravaris, C. and Daoutidis, P., “Nonlinear State Feedback Control of Second-Order Nonminimum-Phase Systems,”Comp. Chem. Eng.,14, 439 (1990).

    Article  CAS  Google Scholar 

  • Lin, C. F., “Advanced Control Systems Design,” Prentice Hall, NJ, USA (1994).

    Google Scholar 

  • Ramanathan, S., Curl, R. L. and Kravaris, C., “Dynamics and Control of Quasirational Systems,”AIChE J.,35, 1017 (1989).

    Article  CAS  Google Scholar 

  • Riddle, A. C. and Anderson, B. D. O., “Spectral Factorization: Computational Aspects,”IEEE Trans. Automatic Control,AC-11, 764 (1966).

    Article  Google Scholar 

  • Wright, R. A. and Kravaris, C., “Nonminimum-Phase Compensation for Nonlinear Processes,”AIChE J.,38, 26 (1992).

    Article  CAS  Google Scholar 

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Correspondence to Jietae Lee.

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Lee, J. Approximation of the optimal minimum-phase output for control of nonlinear nonminimum-phase processes. Korean J. Chem. Eng. 17, 559–563 (2000). https://doi.org/10.1007/BF02707166

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  • DOI: https://doi.org/10.1007/BF02707166

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