Tracking-error control via the relaxing port-Hamiltonian formulation: Application to level control and batch polymerization reactor
Document Type
Article
Publication Date
1-1-2019
Abstract
In this paper, a tracking-error-based control design without feedback passivation stage is developed for the stabilization of physical and chemical nonlinear processes. To achieve control objectives, the system dynamics is first formulated under appropriate conditions as a relaxing (pseudo) port-Hamiltonian (PH) representation with some quadratic storage function, in which the positive semi-definite property of damping matrix may not be taken necessarily into account. Then, a reference trajectory expressed by a certain structure passing through a desired set-point (or containing an optimal profile) is suitably chosen. By adding a relevant damping injection, asymptotic and global convergence of error dynamics is guaranteed. Two case studies including the level control of a four-tank process of continuous time type and the optimal tracking of a batch polymerization reactor of discontinuous time type due to the nature of the process operation are used to illustrate the application and the effectiveness of the approach. Besides the control performance comparison with the conventional passivity-based control method and the robustness evaluation against disturbance and/or noise are included. © 2019 Elsevier Ltd
Keywords
Port-Hamiltonian formulation, Tracking-error method, Passivity-based control, Nonlinear system
Divisions
fac_eng
Funders
Japan International Cooperation Agency (JICA) and University of Malaya through the AUN/Seed-Net scholarship
Publication Title
Journal of Process Control
Volume
80
Publisher
Elsevier