Proportional-Integral passivity-based control design of perturbed non-standard Hamiltonian systems

Authors

Thanh Sang Nguyen, Ngoc Ha Hoang, Chee Keong Tan, Mohd Azlan Bin Hussain

Abstract

This paper proposes a proportional-integral passivity-based control strategy to stabilize the transformed model of a chemical reaction system, described by vessel extents. It is shown that the transformed model belongs to a class of perturbed non-standard Port-Hamiltonian systems with time-varying unmatched (endogenous) disturbance, thereby limiting the applicability of the integral-action-based design method proposed by Donaire and Junco [A. Donaire and S. Junco. Automatica, 2009] because of a lack of interconnection. The developed method adapts a change of coordinates for the design to add an appropriate interconnection between relative-degree-one states and higher-relative-degree states that allows injecting a necessary damping to achieve asymptotic stability and preserving the PH representation of extended closed-loop system. A reversible reaction system is used to illustrate the proposed approach.

Keywords

Proportional-Integral action; passivity; chemical systems; vessel extents

Citation

• Journal: IFAC-PapersOnLine
• Year: 2021
• Volume: 54
• Issue: 19
• Pages: 19–24
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2021.11.049
• Note: 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021- Berlin, Germany, 11-13 October 2021

BibTeX

@article{Nguyen_2021,
  title={{Proportional-Integral passivity-based control design of perturbed non-standard Hamiltonian systems}},
  volume={54},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2021.11.049},
  number={19},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Nguyen, Thanh Sang and Hoang, Ngoc Ha and Tan, Chee Keong and Bin Hussain, Mohd Azlan},
  year={2021},
  pages={19--24}
}

Download the bib file

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