考虑一类T-S模糊广义系统的无源控制问题。在状态空间下,基于线性矩阵不等式(LMI)的方法,给出了使得闭环系统满足无源性的动态输出反馈无源控制器存在的充分条件,在此基础上给出了动态输出反馈无源控制器的设计方法,该方法与现有结果相比,不需要状态完全可测并且充分考虑了模糊子系统之间的相互作用。动态输出反馈无源控制器的设计方法归结为求解一组线性矩阵不等式。最后通过数值仿真例子,说明所给设计方法的有效性。
The problem of passive control for a class of T-S fuzzy descriptor systems is studied. Under the description of state-space, a sufficient conditions for the existence of dynamic output feedback controller which makes the closed-loop system is passive, is derived. Based on this result, the design of the dynamic output feedback passive controller is given. Compared with the existing results, this method considers the interactions among the fuzzy subsystems, and the system states do not need to be exactly measurable. The designs of dynamic output feedback controller are all reduced to solving a set of LMIs. Finally, an illustrative examples is given to show the validity of the proposed approach.