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

Nguyen, Thanh Sang and Hoang, Ngoc Ha and Tan, Chee Keong and Bin Hussain, Mohd Azlan (2021) Proportional-integral passivity-based control design of perturbed non-standard Hamiltonian systems. IFAC Papersonline, 54 (19). pp. 19-24. ISSN 2405-8963, DOI

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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.

Item Type: Article
Funders: Japan International Cooperation Agency (JICA), Universiti Malaya, Vietnam National Foundation for Science and Technology Development (NFOSTED)[103.99-2019.385]
Additional Information: 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control (LHMNC), Tech Univ Berlin, Berlin, GERMANY, OCT 11-13, 2021
Uncontrolled Keywords: Proportional-Integral action;Passivity;Chemical systems;Vessel extents
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TP Chemical technology
Divisions: Faculty of Engineering
Depositing User: Ms Zaharah Ramly
Date Deposited: 19 Oct 2022 07:17
Last Modified: 19 Oct 2022 07:17

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