【摘要】 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。更多还原

【Abstract】 Basing on LMI,this paper addresses the H_∞quadratic stability problem for discrete- time 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.更多还原