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
Divisions
fac_eng
Funders
Japan International Cooperation Agency (JICA),Universiti Malaya,Vietnam National Foundation for Science and Technology Development (NFOSTED)[103.99-2019.385]
Publication Title
IFAC Papersonline
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