多变量时滞非方系统的反向解耦控制

Inverted Decoupling Control for Multi-variable Non-square Systems with Time Delays

针对工业系统中普遍存在的多变量时滞非方系统提出了一种基于反向解耦的二自由度Smith预估控制方法.根据反向解耦原理设计了非方解耦矩阵,实现了系统的完全解耦,针对解耦后的各个单回路系统运用Dahlin算法和内模控制方法设计了设定值跟随控制器和干扰抑制控制器,并基于最大灵敏度实现了干扰抑制控制器参数的鲁棒整定.仿真结果表明所提方法计算简单,易于实现,而且使系统具有良好的设定值跟踪特性、干扰抑制特性以及鲁棒性.

For muhivariable non-square systems with time delays in industrial settings, we propose a two-degrees-offreedom Smith predictive control method based on inverted decoupling theory. We designed a non-square decoupling matrix to achieve total decoupling, and set-point tracking and disturbance rejection controllers for decoupled single-loop systems, using the Dahlin control algorithm and internal model control method, respectively. We also use a maximum sensitivity index to analytically tune the parameters of the disturbance rejection controller. The simulation results show that the proposed method is not only simple and easy to implement but also demonstrates good performance with respect to set-point tracking, disturbance rejection, and robustness.