基于二次型性能指标的控制器优化布置方法

Optimal placement of control devices based on quadratic performance index

本文建立了基于二次型性能指标的结构控制系统控制器最优布置方法。以控制器撤除时的系统最优控制性能指标增量作为控制器对系统最优控制的贡献,并用做确定经济的控制器数量和最优控制器位置的定量分析准则。本文中的控制器位置和控制器设计采用同一个优化性能指标,使得控制系统设计为最优。根据逼近满设置控制器结构控制系统的最优状态求得控制器降阶后等价的反馈控制增益。应用本文的方法对剪切模型框架结构上安装的锚索控制器进行了控制器的总体优化设计。数值分析表明,本文提出的控制器数量、位置和参数优化方法不仅易于实现,而且甚为有效。

A method of control devices optimal placement is proposed in this paper based on the LQG problem of structural control system. The increments of performance index, when each of the control devices is removed, are developed as the contribution of the relative control devices to system optimal control. The economical number of the control devices and their optimal placement are obtained according to the contribution of each of the control devices to system optimal control. In the study, the same performance index is used for control devices optimal placement and control devices optimal design. The equivalent feedback gain for the system optimal control of the control devices of reduced number and optimal location are developed by the optimal trailed state of the optimal system of full installed control devices. The global optimal design for the control system of frame shear structure with tendon control devices installed on the structure is conducted for the control systems. The numerical analysis confirms that the method is very easy to conduct and the efficiency of the system control, the economic number of control devices and their optimal location are determined in quantitative analysis.