Load-following control of nuclear reactors based on fuzzy input-output model

Abstract

The issue of dynamical output H∞ controller designing is successfully addressed for the Fuzzy Input-Output (FIO) model, which is a novel type of fuzzy models, by means of Parallel Distributed Compensation (PDC). A sufficient condition in terms of Linear Matrix Inequalities (LMIs) is used to analyze the stability of the closed-loop control system, which can be efficiently solved by some commercial softwares, e.g., MATLAB.Corresponding to a specified equilibrium power family, the nonlinear nuclear reactor model is described as the Linear Parameter-Varying (LPV) form. Then the FIO model of the generalized plant is constructed, and the FIO load-following controller is designed, where the local controllers are gained by the approach of standard H∞ control problem. Moreover, the result of solving LMIs proves that this control system is globally asymptotically stable, and the simulations show that this control system has a good load-following capability for a nuclear reactor.