离散不确定控制系统的鲁棒性分析与设计

Analysis of Robustness for a Class of Discrete Uncertain Control Systems

本文在文献［4］的基础上研究了一类离散不确定系统的状态反馈控制问题．文中通过将系统的鲁棒控制器解存在的充分条件转化为一类极小极大的优化命题，然后再通过确定系统的最优解，给出了一种简便而有效的确定极大鲁棒稳定界的方法．从而克服了设计鲁棒控制器所存在的保守性．利用文中的结果还可以将系统的状态反馈系数矩阵的增益设计到最小的程度．

In this paper, the problem of state feedback control for a class of discrete uncertain systems isstudied based on the reperence [4j] A simple and efficient algorithmic procedure for determining maximal robust stable bounds is proposed via transforming the sufficient conditions for designing an optimal robust controller for systems with uncertain parameters to an equivalent min-max optimization problem. To overcomethe problem of conservative in the design of robust controller, an iterative procedure is also given for obtaining the minimal solution related to the maximal robust stable bounds.