基于线性矩阵不等式的动态反馈抗饱和补偿设计

Anti-windup Compensation Design Using Linear Matrix Inequality(LMI)-Based Dynamic Feedback

将非线性环节嵌入线性控制器的互质因子中,提出了一种基于线性矩阵不等式(LMI)的动态反馈抗饱和补偿设计方法.这种设计方法将饱和系统中控制器输出与被控对象输入不匹配值的L2范数作为优化性能指标,使得系统在饱和时的能量得到迅速补充,并兼顾系统的稳定性.这样,抗饱和控制器的设计方法就转换为寻找LMI中变量次优解的问题.通过实验仿真,验证了这种方法的实用性与优良的控制性能.

A novel dynamic feedback compensation design was proposed for anti-windup. In this design, the anti-windup controller is characterized as the performance of the anti-windup augmentation by the L2 norm of the deviation between the controller output and the plant input, as well as to guarantee the stability of the system based on the unified framework. These could be deduced into the form of LMIs, from which the parameters are obtained to construct the anti-windup controller directly. The effectiveness of the proposed method was shown via a simulation example by comparing the results to other existing anti-windup techniques.