A two-temperature-control structure for the generic ideal reactive distillation (RD) column is systematically evaluated for nonlinear dynamic phenomena. The steady-state open- and closed-loop input-output (10) relations are presented to show the existence of severe input multiplicity in the most sensitive controlled variable, namely, a rectifying tray temperature. The bifurcation study shows that, for the studied control structure, steady-state transition and "wrong" control action can occur for a large throughput decrease and increase, respectively, when controlling the same. The severity of the input multiplicity is significantly mitigated when a temperature in the reactive section is controlled instead. Wrong control action can still occur for a large throughput change in either direction (increase or decrease). Closed-loop dynamic simulation results confirm the occurrence of these nonlinear dynamic phenomena. The results also show that the magnitude of throughput change that can be handled without the decentralized control system failing is much larger when the reactive tray temperature is controlled instead of the rectifying tray temperature. The key role of steady-state multiplicity in the design of a robust control system for RD systems is highlighted.