不确定多时滞切换广义系统的鲁棒无源控制

摘要

将无源的概念从广义系统扩展到带有多时滞的切换广义系统之中,进而研究了一类同时具有不确定项和多时滞项的相对比较复杂的系统的无源控制问题,其中一些条件需满足假设前提.首先,利用一种广义Lyapunov方法再结合线性矩阵不等式方法,给出了使不确定多时滞切换广义系统能够渐近稳定且严格无源的充分条件;再根据已有的条件设计出鲁棒无源控制器,使得带有不确定项和多时滞项的切换广义系统可以渐近稳定并严格无源.最后用数值算例说明了有效性.%The concept of passive source is extended to the switched singular systems with multiple time-delays. The problem of robust passive control for a class of switched singular systems with both uncertainties and multiple time-delays is studied, and some of these conditions need to satisfy the hypothesis. First,by means of generalized Lyapunov function and linear matrix inequality,the sufficient conditions are given for the asymptotic stability and strictly passive of uncertain switched singular systems with multiple time-delays. Moreover,the qualified robust passive controller is designed according to the existing conditions,so that the switched singular systems can be asymptotically stable and strictly passive. Finally,numerical examples illustrate the effectiveness of the approaches.