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

• Main Authors: Nguyen, Thanh Sang, Hoang, Ngoc Ha, Tan, Chee Keong, Bin Hussain, Mohd Azlan
• Format: Article
• Published: Elsevier 2021
• Subjects: QA75 Electronic computers. Computer science; TP Chemical technology
• Online Access: http://eprints.um.edu.my/35422/

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. Copyright (C) 2021 The Authors.