A gap metric based nonlinearity measure for chemical processes

  • Authors:

  • Jingjing Du;Chunyue Song;Ping Li

  • Affiliations:

  • State Key Lab. of Industrial Control Technology, Institute of Industrial Process Control, Zhejiang University, Hangzhou, China;State Key Lab. of Industrial Control Technology, Institute of Industrial Process Control, Zhejiang University, Hangzhou, China;State Key Lab. of Industrial Control Technology, Institute of Industrial Process Control, Zhejiang University, Hangzhou, China

  • Venue:
  • ACC'09 Proceedings of the 2009 conference on American Control Conference
  • Year:
  • 2009

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Abstract

Almost all chemical processes are inherently nonlinear, whereas not all of them require nonlinear control. This leads to an interesting question "when is a linear controller adequate and when is a nonlinear controller warranted?" This paper proposes a nonlinearity measure based on gap metric to quantify the nonlinearity degree of chemical processes, aiming to answer such a question. The proposed measure is of great use to analysis and synthesis of nonlinear systems. A benchmark continuous stirred tank reactor (CSTR) process and a double effect evaporator (DEE) system are presented to illustrate the effectiveness to the proposed nonlinearity measure.