柔性直流(VSC-HVDC)所连交流电网短路比及传输功率在实际运行中存在变化，但目前尚缺乏相应的鲁棒稳定性分析与控制方法。关键的难点在于要确保稳定性条件在所有可能的工况下都成立，可能会面临计算上的困难。为此，本文提出一种计算上可行的考虑短路比和功率不确定性的VSC-HVDC系统鲁棒稳定性分析与控制方法。首先，建立考虑短路比和功率不确定性的含线性不确定变量的VSC-HVDC系统小信号模型，以刻画系统多平衡点的动态特性，并利用Lyapunov理论构建基于状态反馈的鲁棒控制设计问题。然后，提出基于线性矩阵不等式的多平衡点鲁棒稳定性判据与状态反馈控制设计方法，实现VSC-HVDC系统的鲁棒稳定性分析与控制设计。最后，基于MATLAB/Simulink的仿真结果表明，系统能够在预设的短路比和功率区间内保持稳定，证明了所提鲁棒控制设计方法的有效性。

The short-circuit ratio (SCR) of the connected AC grid and the transmitted power of a voltage source converter based high voltage direct current (VSC-HVDC) system are subject to variations during practical operation, whereas robust stability analysis and control methods accounting for these uncertainties remain limited. The main challenge lies in guaranteeing system stability over the entire uncertainty range while maintaining computational tractability. To address this issue, this paper proposes a computationally efficient robust stability analysis and control approach for VSC-HVDC systems considering uncertainties in both the SCR and transmission power. First, a small-signal model with linear uncertain variables is established to characterize the dynamic behavior of multiple operating equilibria under SCR and power uncertainties. Based on Lyapunov stability theory, a robust state feedback control design problem is then formulated. Subsequently, a robust stability criterion and a state feedback controller synthesis method are developed using linear matrix inequalities (LMIs), enabling robust stability analysis and controller design for VSC-HVDC systems over the prescribed uncertainty range. Finally, MATLAB/Simulink simulation results demonstrate that the proposed method maintains system stability throughout the specified SCR and power operating ranges, thereby validating the effectiveness of the proposed robust control design approach.