This paper deals with a catalytic continuous stirred tank reactor (CCSTR), modeled as a non-minimum phase nonlinear system with two control inputs. Under the adaptive-like methodology, the developed Lyapunov-based linearization strategy can ensure the asymptotic output regulation. It is also shown that the integrated two-input control framework can reinforce the accurate state regulation and robust against the unknown disturbances. For the implementation purpose, we propose a systematic design procedure to synthesize a reduced-order observer plus controller. Our results are illustrated via numerical simulation.