本文基于LMI和H∞控制理论,研究了一类不确定离散时滞切换系统在任意切换下的H∞二次稳定性问题。利用矩阵Schur补引理构造线性矩阵不等式,通过求解一个特定的线性矩阵不等式,得到该系统在H∞意义下的二次稳定的充分条件。最后用数值例子对所得结果加以验证,说明了文中结果的正确性。
Basing on LMI, this paper addresses the H∞quadratic stability problem for discretetime state delay switched systems under arbitrary switching laws. Firstly, by constructing a linear matrix inequality using Schur complement formula, a sufficient condition for the H∞ quadratic stability is presented to solve certain linear matrix inequality. Finally, a numerical example illustrates the effectiveness of the method.