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

Document Type

Article

Publication Date

1-1-2021

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. Copyright (C) 2021 The Authors.

Keywords

Proportional-Integral action, Passivity, Chemical systems, Vessel extents

Publication Title

IFAC Papersonline

Divisions

fac_eng

Funders

Japan International Cooperation Agency (JICA),Universiti Malaya,Vietnam National Foundation for Science and Technology Development (NFOSTED)[103.99-2019.385]

Volume

54

Issue

19

Publisher

Elsevier

Additional Information

7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control (LHMNC), Tech Univ Berlin, Berlin, GERMANY, OCT 11-13, 2021

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