PI control of continuous homogeneous reaction systems via Brayton-Moser-based decoupled dynamics

Abstract

This paper develops a nonlinear controller to stabilize continuous homogeneous chemical reaction systems whose extent-based decoupled dynamics have been formulated into an underactuated, perturbed Brayton-Moser form. Due to the nonlinear time-varying and unmatched feature of the disturbance, the integrator-based control (and power-shaping control) design for eliminating this disturbance seems not to be straightforward. The developed method employs a state-dependent transformation to provide a suitable interconnection among actuated and under-actuated states such that the extended closed-loop dynamics under the resulting controller enhanced with proportional-integral action has a desired Brayton-Moser form for stabilization. The proposed control method is illustrated with a reversible reaction system.