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本文把现代控制理论中的状态空间理论应用到高层建筑结构动力响应分析中，提出了状态空间迭代法分析高层建筑结构动力响应问题。根据结构动力方程，引入位移与速度为状态变量，导出状态方程，给出非齐次状态方程的解，进而建立状态空间迭代计算格式。文中结合工程实例，采用状态空间迭代法进行结构动力时程响应分析，其计算结果表明，具有较高的精度，特别对多自由度体系的多输入、多输出等问题的动力响应解法，效率较高。
In this paper, the state space theory in modern control theory is applied to the dynamic response analysis of high-rise building structures. The state space iteration method is used to analyze the dynamic response of high-rise building structures. According to the structural dynamic equation, the displacement and velocity are introduced as state variables, the state equations are derived, and the solution of the non-homogeneous state equation is given. Then the state space iterative calculation format is established. Combining with engineering examples, this paper uses the state space iteration method to analyze structural dynamical time history response. The calculation results show that it has high accuracy, especially for the multi-input and multi-output problems of multi-degree-of-freedom systems. high.