Abstract: Focusing on flexible coupled isolation system widely being in real engineering, a state space equation realization method is presented suitable for project control application. Aim at frequence characteristic of flexible coupled isolation system, least squares method, equation synthesis menthod and balanced truncation method are applied for obtaining state space equation in this paper. Obtained state space model provided a theoretical base for studying active control algorithm.

Key words: vibration and wave, flexible coupled isolation system, state space equation, least squares method, balanced truncation method.

摘要： 针对工程实际中普遍存在的多维耦合系统，研究适用于实际控制工程应用的、复杂柔性隔振系统状态空间方程的实现方法。针对柔性耦合系统的频率特性，采用最小二乘辨识、方程式综合以及平衡截断降阶的系列方法，提取柔性耦合隔振系统的状态空间方程，为柔性隔振系统主动控制算法的研究提供理论基础。

关键词: 振动与波, 柔性耦合系统, 状态方程, 最小二乘法, 平衡截断降阶法