论文标题
对称二阶系统的平衡截断模型降低 - 一种基于被动率的方法
Balanced truncation model reduction for symmetric second order systems -- A passivity-based approach
论文作者
论文摘要
我们基于积极的真实平衡截断，为线性时间不变的二阶系统介绍了模型还原方法。我们的方法保证了降低阶模型的渐近稳定性和消极性以及质量和刚度矩阵的正确定性。此外，我们会收到一个先验的差距度量错误。最后，我们表明我们的方法基于正面的真实平衡截断可以保留过度阻尼二阶系统的结构。
We introduce a model reduction approach for linear time-invariant second order systems based on positive real balanced truncation. Our method guarantees asymptotic stability and passivity of the reduced order model as well as the positive definiteness of the mass and stiffness matrices. Moreover, we receive an a priori gap metric error bound. Finally, we show that our method based on positive real balanced truncation preserves the structure of overdamped second order systems.
