基于精确线性化的MIMO双线性系统预测函数控制

Predictive function control based on global feedback linearization for MIMO bilinear system

针对典型多输入多输出双线性系统,提出了基于非线性过程精确反馈解耦线性化的预测函数控制方法这是一种分层的控制策略,首先设计一个静态的非线性状态反馈,使得闭环系统是输入输出解耦和线性的;然后设计一组单输入单输出预测函数控制器,下层为上层预测函数控制提供一组单输入单输出模型,而上层预测函数控制以其固有的鲁棒性来补偿参数变化和解耦线性化的近似性,并以纸机加压网前箱为例进行了仿真实验,结果是令人满意的。

The predictive function control (PFC) strategy is developed for MIMO bilinear system. It is a kind of double layer control strategy and based on global feedback linearization of nonlinear system. The geometric tool needed here includes the input-output linearization theory. This methodology relies upon the exact cancellation of nonlinear term using state feedback, and closed loop model of the MIMO bilinear system is linearized and decoupled. Based on the input-output decoupled and linearized model, the predictive function controller is designed. The SISO models are given in the lower layer, the parameter varies and decoupled approximation are overcome by robust of PFC in the higher layer. Simulation result shows that the performance of the derived control strategy is satisfying.