基于多变量时滞系统的设定点滤波器设计

Set-point Filter Design for Multivariable Systems with Time-Delay

针对多变量时滞系统存在的超调过大、强耦合等问题,提出了一种新的基于等效开环传递函数的设定点滤波器设计方法。该方法首先采用等效传递函数对多变量系统进行解耦,进而对解耦后的广义系统设计内模控制器,然后通过系统响应的峰值、峰值时间以及滞后时间设计设定点滤波器,从而优化多变量系统的响应输出。仿真结果表明,该方法不仅能够消除各回路间的耦合,实现完全解耦,而且能够有效降低系统响应输出的超调量。方法设计简单,可以提高系统性能。

In this paper, a novel set-point filter based on EOTF(equivalent open-loop transfer function) is proposed for the problems existing in MIMO(multiple-input-multiple-output) systems with time delay, like big overshoot and strong interactions. Firstly, the system is decoupled using EOTF and then the decoupled process is employed to design the IMC(internal model control) controller. Secondly, the set-point filter is designed based on the desired maximum peak and peak time of the output response, which can optimize the time domain performance of the MIMO system. The proposed method has the advantages of simple design procedure and obvious improvement of the system performance. The simulations demonstrate that not only the interactions are removed, but also the overshoots are reduced.