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通过对广义预测控制算法的结构分解，建立了在频域分析ＧＰＣ算法稳定鲁棒性的方法，并证明了广义预测控制器在满足一定的边界条件下，如果能使系统开环稳定，则必能使系统闭环稳定．最后由仿真结果进一步说明了结论的正确性．
Through the structural decomposition of the generalized predictive control algorithm, a method to analyze the robustness of the GPC algorithm in the frequency domain is established. It is proved that if the generalized predictive controller satisfies certain boundary conditions and the system is open-loop stable, Make the system closed-loop stability. Finally, the simulation results further illustrate the correctness of the conclusion.