A perturb e d Port-Hamiltonian approach for the stabilization of homogeneous reaction systems via the control of vessel extents

Nguyen, T. Sang and Tan, C. K. and Hoang, N. Ha and Hussain, M. A. and Bonvin, D. (2021) A perturb e d Port-Hamiltonian approach for the stabilization of homogeneous reaction systems via the control of vessel extents. Computers & Chemical Engineering, 154. ISSN 0098-1354, DOI https://doi.org/10.1016/j.compchemeng.2021.107458.

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The paper proposes a tracking-error passivity-based control scheme for the asymptotic stabilization of homogeneous reaction systems. The approach uses the concept of vessel extents in the Port-Hamiltonian (PH) framework. Concretely, the extent-based representation that is obtained by linear time-invariant transformation of the reaction model is expressed as a perturbed PH system, whereby the reaction rates constitute unmatched time-varying disturbances. Two scenarios are considered. The first one assumes that the molar numbers of all species and the reaction temperature are measured and, furthermore, the kinetic model is known, while the second scenario relaxes these assumptions and requires only the measurements of a subset of the molar numbers and of the reactor temperature, but no knowledge of reaction kinetics. For the first scenario, the passivity-based method is used to compensate the disturbances, while preserving the PH structure of the error system via simple matrix factorization of the disturbances. For the second scenario, a constructive procedure is proposed to complete the space of vessel extents with the aim of computing an appropriate damping injection for the closed-loop system. It is shown that the proposed strategies guarantee that the system trajectories converge towards the desired setpoints without the need of state observation. A reaction system exhibiting non-minimum phase behavior is used to illustrate the theoretical developments. The closed-loop performance is discussed and compared to that of a PI controller. (c) 2021 Elsevier Ltd. All rights reserved.

Item Type: Article
Funders: Japan International Cooperation Agency (JICA), Universiti Malaya (UM) through the AUN/Seed-Net scholarship, National Foundation for Science & Technology Development (NAFOSTED) (103.99-2019.385)
Uncontrolled Keywords: Chemical reaction; Vessel extents; Disturbance compensation; Port-Hamiltonian formulation; Tracking-error passivity-based control
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TA Engineering (General). Civil engineering (General)
Divisions: Faculty of Engineering
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 24 Feb 2022 07:10
Last Modified: 24 Feb 2022 07:10
URI: http://eprints.um.edu.my/id/eprint/26807

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