具有最小增益最优鲁棒控制器的设计

Design of Optimal Robust Controller with Minimal Gain

在具有不确定参数系统鲁棒控制器设计方法的研究领域中所要解决的问题主要有两个方面，首先就是要求具有不确定参数系统的闭环控制是稳定的，其次是要求所设计的控制器或给出的解存在的充分条件越不保守越好．本文将首先给出一种鲁棒控制器解存在的充分条件以及相应的优化问题解法，并且通过定义最小状态反馈系数矩阵将鲁棒控制器的系数矩阵的增益设计到最小的程度．

The problem to be solved in the design of robust controller inCludes two fileds:one is that the controlled systems should be stable,and the other is that the designed controller gain should be reduced to a minimal degree as possible.In this Paper,an algorithmic procedure is Proposed via transforming the problem of designing an optimal robust controller for Systems with uncertain parameters to an equivalent optimization problem,and haed on the result,a new method is proposed for determining a stabilizable controller with minimal gain.