robustness;  asymptotically stable;  linear optimal control;  Matlab

The mathematical model used in the optimal control design is always different from the actual system, and the control parameters designed according to this are not completely consistent with the reality. To solve this problem, a method is proposed to analyze the robustness of the stability of linear optimal control systems. Using Matlab’s special control function tool, the influence of parameter changes such as time constant and magnification in some links in the system and the selection of weighted matrix on the robustness of the system was analyzed. The simulation results show that the proposed method can specifically analyze the influence of each part on the stability of the system, which is conducive to system maintenance and system safety.