Feedback passivation plus tracking-error-based multivariable control for a class of free-radical polymerisation reactors

Authors

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

Abstract

This paper proposes a tracking-error-based multivariable control to stabilise a nonlinear system at the desired trajectory (including the open-loop unstable equilibrium manifold). The control approach is developed on the basis of feedback passivation and then applied to stabilise globally exponentially a class of free-radical polymerisation reactors. More precisely, under certain conditions the system dynamics can be rendered strictly input/output passive through the use of an appropriate input coordinate transformation. A canonical form related to the so-called port-Hamiltonian representation of passive system is consequently derived and provides physical interpretations such as dissipative/non-dissipative term and supply rate. A feedback law based on tracking-error is then designed for the global exponential stabilisation at a reference trajectory passing through the desired set-point. The theoretical developments are illustrated for polystyrene production in a continuous stirred tank reactor. Numerical simulations show that the system trajectory converges globally exponentially to the reference trajectory despite effects of disturbance.

Citation

• Journal: International Journal of Control
• Year: 2019
• Volume: 92
• Issue: 9
• Pages: 1970–1984
• Publisher: Informa UK Limited
• DOI: 10.1080/00207179.2017.1423393

BibTeX

@article{Nguyen_2018,
  title={{Feedback passivation plus tracking-error-based multivariable control for a class of free-radical polymerisation reactors}},
  volume={92},
  ISSN={1366-5820},
  DOI={10.1080/00207179.2017.1423393},
  number={9},
  journal={International Journal of Control},
  publisher={Informa UK Limited},
  author={Nguyen, T. Sang and Hoang, N. Ha and Azlan Hussain, M.},
  year={2018},
  pages={1970--1984}
}

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