robustness;  margin;  Matlab

Aiming at the robustness analysis problem of linear optimal control system, this paper proposes to study the dynamic relationship between system parameters and stability margin by taking the system stability margin as the calculation object, so as to obtain a visual description of the robustness of the system. This method uses Matlab’s control function programming program to continuously solve the algebraic Riccati equation, and obtains the change trend of system stability margin with parameter perturbation, and then displays it by computer graphing. The simulation results show that it has practical value for the analysis of the optimal control system with accurate mathematical model.