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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.
Based on the literature [4], this paper studies the state feedback control of a class of discrete uncertain systems. In this paper, a sufficient and efficient solution of the robust controller of the system is transformed into a class of minimax optimization propositions. Then by determining the optimal solution of the system, a simple and effective method to determine the maximal robustness Method of stabilizing the community. Thus overcoming the conservativeness of designing robust controllers. Using the results in this paper, the gain of the system’s state feedback coefficient matrix can also be designed to a minimum.