多变量时滞系统Dahlin控制器的设计

MULTIVARIABLE DAHLIN CONTROLLER DESIGN

在现代鲁棒控制理论基础上，提出一种多变量Ｄａｈｌｉｎ控制器多目标优化设计方法．利用线性分解变换，多变量Ｄａｈｌｉｎ控制器设计问题被转化为标准的Ｈ∞优化问题，通过对标准的Ｈ∞优化问题求解得到了最终的控制器．它同时具有时滞补偿，解耦和控制的作用．与已有的方法相比，该方法不但直观，而且兼顾了系统的性能和鲁棒性．

The well known Dahlin controller for scalar control systems is extended to the control of a class of multivariable control systems with time delays. The problem of multivariable Dahlin controller design is converted to a standard H ∞ optimization problem. By solving the H ∞ optimization problem, we obtain the multivariable Dahlin controller. Compared to the previous method, the new one provides both good performance and robustness.