256
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

An Efficient Measure for Quantification of Nonlinearity in Chemical Engineering Processes Based on I/O Steady-State Loci

, &

References

  • Allgöwer, F. (1995). Definition and computation of a nonlinear measure, IFAC NOLCOS, 1, 279–284.
  • Chen, C.-T. (2014). A sliding mode control strategy for robust temperature trajectory tracking of a batch reactor, Chem. Eng. Commun., 201, 1–22.
  • Desoer, C. A., and Wang, Y. T. (1980). Foundations of feedback theory for nonlinear dynamical systems, IEEE Trans. Circuits Syst., 27, 104–123.
  • Du, J., Song, C., and Li, P. (2009). A gap metric based nonlinearity measure for chemical processes. In Proceedings of the American Control Conference, June 2009, St. Louis, MO, USA, 4440–4445.
  • Du, J., Song, C., Yao, Y., and Li, P. (2013). Multilinear model decomposition of MIMO nonlinear systems and its implication for multilinear model-based control, J. Process Control, 23, 271–281.
  • Eker, S. A., and Nikolaou, M. (2002). Linear control of nonlinear systems: Interplay between nonlinearity and feedback, AIChE J., 48, 1957–1980.
  • Guay, M. (1996). Measurement of nonlinearity in chemical process control, PhD diss., Queen's University at Kingston, Ontario.
  • Guay, M., McLellan, P. J., and Bacon, D. W. (1995). Measurement of nonlinearity in chemical process control systems: The steady state map, Can. J. Chem. Eng., 73, 868–882.
  • Harris, K. R. (1998). Control and analysis of nonlinear chemical processes using functional expansions, PhD diss., University of California, Davis.
  • Harris, K. R., Colantonio, M. C., and Palazoğlu, A. (2000). On the computation of a nonlinearity measure using functional expansions, Chem. Eng. Sci., 55, 2393–2400.
  • Helbig, A., Marquardt, W., and Allgöwer, F. (2000). Nonlinearity measures: Definition, computation and applications, J. Process Control, 10, 113–123.
  • Henson, M. A., and Seborg, D. E. (1990). Input-output linearization of general nonlinear processes, AIChE J., 36, 1753–1757.
  • Montano, A., and Silva, G. (1991). Design of a nonlinear control for a double effect evaporator. In Proceedings of the European Control Conference, July 1991, Grenoble, France, 2256–2261.
  • Nikolaou, M., and Hanagandi, V. (1998). Nonlinearity quantification and its application to nonlinear system identification, Chem. Eng. Commun., 166, 1–33.
  • Pottmann, M., and Seborg, D. E. (1992). Identification of non-linear processes using reciprocal multiquadric functions, J. Process Control, 2, 189–203.
  • Tan, W., Marquez, H. J., Chen, T., and Liu, J. (2004). Multimodel analysis and controller design for nonlinear processes, Comput. Chem. Eng., 28, 2667–2675.
  • Tan, W., Marquez, H. J., Chen, T., and Liu, J. (2005). Analysis and control of a nonlinear boiler-turbine unit, J. Process Control, 15, 883–891.
  • Uppal, A., Ray, W. H., and Poore, A. B. (1974). On the dynamic behavior of continuous stirred tanks, Chem. Eng. Sci., 29, 967–985.
  • Yethiraj, A., Kuszta, B., and Smith, C. B. (1988). Identification and feedback control of nonlinear systems, Chem. Eng. Commun., 71, 1–22.
  • Zhou, K., and Doyle, J. C. (1998). Essentials of Robust Control, Prentice Hall, New York.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.