What is it about?
Control of reaction system using the Hamiltonian formulation of the vessel-extent-based model
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Why is it important?
The control problem, in this work, arises when the stabilization problem of the homogeneous reaction system via the decoupled dynamics, obtained by the concept of vessel extents, is considered. In fact, control design through this transformed model is interesting because it naturally allows itself to be written in the perturbed Port-Hamiltonian structure without the interconnection matrix where the damping matrix is just the diagonal one and the vector of reaction kinetics constitutes a matched/unmatched and time-varying disturbance. In comparison to other passivity-based controls, the port-Hamiltonian representation for the control system, in this work, is obtained in a systematic manner. Both theoretical and simulation results show that two proposed control strategies, including feedforward law and dynamic feedback one, are workable. These initial encouraging results will open a new research direction of advanced nonlinear control for the chemical reactors via the vessel-extent-based dynamics, in which the design method relies more on the measurement of state variables rather than the information of reaction kinetics.
Perspectives
The paper proposed the use of the tracking error method to compensate for the matched/unmatched and time-varying disturbance of the perturbed port-Hamiltonian system. The method is effective and novel to reject the kind of disturbance, as compared to previous studies, mostly focusing on the constant disturbance. More precisely, by factoring the disturbance as a product of a diagonal matrix and a constant column vector, two control strategies, including feedforward law and dynamic feedback one, are proposed to deal with its effects and thus the asymptotic convergence of system trajectory towards the reference trajectory, passing the setpoint, will be guaranteed by assigning appropriate damping injection for the dynamic reference trajectory.
Mr. Sang Thanh Nguyen
University of Malaya
Read the Original
This page is a summary of: Control of reaction systems using decoupled dynamics via perturbed Hamiltonian formulation, IFAC-PapersOnLine, January 2020, Elsevier,
DOI: 10.1016/j.ifacol.2020.12.628.
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