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针对一类切换广义系统,提出了一种更加简单易解的H∞输出反馈控制方法。基于投影引理和Finsler’s引理结合线性矩阵不等式技术,给出保证闭环系统在输出反馈控制下是容许的并具有期望的H∞性能水平的严格线性矩阵不等式条件。所提出的充分条件不要求对系统模型进行坐标变换,也不需要对Lyapunov矩阵和其逆矩阵进行分解。给出的结果可经例子进行验证并可以推广到单一的广义系统和正常的切换系统。
For a class of switched generalized systems, a more simple and easy-to-solve H∞ output feedback control method is proposed. Based on projection lemma and Finsler’s lemma combined with linear matrix inequalities, a strict linear matrix inequalities condition is given to ensure that the closed-loop system is permissible under output feedback control and has the desired H∞ performance level. The sufficient conditions proposed do not require coordinate transformation of the system model, nor do we need to decompose the Lyapunov matrix and its inverse matrix. The results given are validated by examples and can be generalized to a single generalized system and to a normal switching system.