This article deals with the output regulation of distributed reacting systems with a single manipulated variable. Since the coil apparatus for heat removal can be conditionally adopted, the finite difference-based nonlinear model as a class of approximate control systems can be established. Through use of the non-distributed feedback linearization strategy and the successive Lyapunov function design, synthesis of the dynamic feedback controller can ensure asymptotic output regulation. From the practical viewpoint, an extended observer-based control scheme based on the similar Lyapunov-based lineairzation algorithm is developed. Simulations clearly demonstrate that the proposed control methodologies can achieve good tracking performance and are robust against the presence of measurement errors and model mismatch.