结构主动控制的一体化多目标优化研究

Integrated design and multi-objective optimization method for active control system

基于Pareto多目标遗传算法提出了结构主动控制系统的一体化多目标优化设计方法,对作动器位置与主动控制器进行同步优化设计。外界激励采用平稳过滤白噪声来模拟,在状态空间下通过求解Lyapunov方程,得到结构响应和主动控制力的均方值。主动控制器采用LQG控制算法来进行设计。以结构位移和加速度均方值最大值与相应无控响应均方值的最大值之比,以及所需控制力均方值之和作为多目标同步优化的目标函数。优化过程还考虑了结构与激励参数对优化结果的影响。最后以某6层平面框架有限元模型为例进行了计算机仿真分析,结果表明所提出的主动控制系统多目标一体化优化方法简单,高效,实用,具有较好的普适性。

This papers proposes a new integrated design and multi-objective optimization method for active control system based on a Pareto genetic algorithms, in which both the controller and actuator allocation can be optimized simultaneously. Random seismic excitation is simulated by the stationary filtered white noise, and then the Root-Mean Square （RMS） quantities of structural responses and active control forces are obtained by solving the Lyapunov equation in the state space. The controller is designed using LQG algorithm. Minimization of the maximal RMS displacement and acceleration, normalized by the uncontrolled counterparts, together with minimizing the sum of RMS control force of actuators, have been used as the three objective functions for multi-objective optimization. The influences of structural parameters and excitation characteristic are also considered in the multi-objective optimization procedure. A 6-story plane frame is used as a numerical example to demonstrate the effectiveness of the proposed method. Results show that the proposed integrated design and optimization method is simple, efficient and practical, and of good universality.