Tracking error plus damping injection control of non-minimum phase processes

Authors

T. Sang Nguyen, N. Ha Hoang, M.A. Hussain

Abstract

This work proposes a passivity-based approach to deal with the output-tracking-error problem for a large class of nonlinear chemical processes including non-minimum phase systems. More precisely, in that framework, the system dynamics is firstly written into the relaxing (pseudo) port-Hamiltonian representation which does not necessarily require the positive semi-definite property of the damping matrix. Then, a reference trajectory associated with a certain structure passing through a desired equilibrium point (i.e., the set-point) is chosen so that the error dynamics can be globally asymptotically stabilized at the origin thanks to the assignment of an appropriate damping injection. This method is subsequently illustrated for a benchmark of multiple reactions systems, namely Van de Vusse reaction system. The numerical simulations show the applications of the proposed approach.

Keywords

Port-Hamiltonian framework; chemical process systems; non-minimum phase system; passivity; tracking error

Citation

• Journal: IFAC-PapersOnLine
• Year: 2018
• Volume: 51
• Issue: 18
• Pages: 643–648
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2018.09.351
• Note: 10th IFAC Symposium on Advanced Control of Chemical Processes ADCHEM 2018- Shenyang, China, 25–27 July 2018

BibTeX

@article{Nguyen_2018,
  title={{Tracking error plus damping injection control of non-minimum phase processes}},
  volume={51},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2018.09.351},
  number={18},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Nguyen, T. Sang and Hoang, N. Ha and Hussain, M.A.},
  year={2018},
  pages={643--648}
}

Download the bib file

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