研究了离散奇异系统通过状态反馈的有限时间鲁棒控制问题,得到了一个充分条件,它能保证控制器的存在,并且使得闭环系统是有限时间鲁棒有界的。通过线性矩阵不等式的求解,给出了控制器的设计方法。最后用一个数值算例验证了该方法的有效性。
The problem of finite-time robust control of discrete-time singular systems was studied in this paper. A sufficient condition was devised, which can guarantee the existence of the controller and stabilize the closed-loop systems. By solving LMI, the design of controller was presented stated. Then, a nuinerical example is given to demonstrate the effectiveness of the proposed approach.