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基于二次稳定性理论,研究了不确定离散时滞系统的鲁棒H∞控制问题.采用线性矩阵不等式的方法,讨论了有记忆状态反馈鲁棒H∞控制问题,得到了确保鲁棒H∞控制器存在的充分条件和H∞状态反馈控制器的设计方法.最后举例说明了该方法的正确性.
Based on the quadratic stability theory, the problem of robust H∞ control for uncertain discrete-time systems with time-delay is studied. By using the method of linear matrix inequalities, the robust H∞ control problem with memory state feedback is discussed and the robust H∞ The sufficient condition of the existence of the controller and the design method of H∞ state feedback controller.At last, the correctness of this method is illustrated.