模型降阶法计算墙体Z传递函数

认为在计算多层墙体Z传递函数系数的方法中，基于经典控制理论的传统方法存在漏根问题，基于现代控制理论的状态空间法则需要计算矩阵指数而存在计算量和存储量问题。利用级数展开和基于Routh稳定性的模型降价法得到墙体S传递函数的稳定降价模型，并给出了由S传递函数向Z传递函数的直接转化方法，实例验算效果良好。

Model reduction method for calculating Z-transfer function of multi-layer walls

As to calculating the Z-transfer function coefficients of multi-layer walls, considers that the conventional method based on the classical control theory might lead to root-missing occasionally and the state space method based on the modern control theory needs large computation and memory because of the matrix exponential calculation. Presents a new method based on series expansion and model reduction with Routh stability. Gives a direct conversion approach from reduced S-transfer function to Z-transfer function. Examples show its high efficiency.