| Steam Generator (SG), an important heat exchanger that connects pressured water reactor's primary circuit with secondary circuit, is considered the intersection of primary circuit and secondary circuit, the main function is carrying the heat from the reactor to secondary side water, then secondary side water changes into steam which is taken to the turbine. Water level has a direct effect on the quality of outlet steam and the safety of steam generator. Therefore, it is very important and necessary to control water level of steam generator and it is very valuable for the study on water level control.The design method is studied for the controller of steam generator water level control system in this paper. Considering the influence of the steam flow and feedwater flow to water level, a linear parameter varying system mathematical model of steam generator is firstly developed, then, guaranteed cost controller, state feedback H_∞controller and output feedback H_∞controller are designed in terms of the system theory of linear parameter varying and Lyapunov theory for stability. Based on that if the two former controller gain is varying with the power, the guaranteed cost controller is designed with the fixed value guaranteed cost controller and the gain-scheduled guaranteed cost controller; state feedback H_∞controller is designed with the fixed value state feedback H_∞controller and the gain-scheduled state feedback H_∞controller, the last kind of controller—output feedback H_∞controller is only designed with the gain-scheduled output feedback H_∞controller. The controllers guarantee both stability and performance index in the operating region, the controlled process is that the controller is automatically adjusted along the reactor power. The feasible solution of controller can be solved by the software of Matlab and the approach of linear matrix inequalities, finally, the simulation of the water level control system of SG shows the feasibility of the proposed methods.
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