离散广义系统的无源分析与控制

针对一类离散广义系统的严格无源问题进行分析,利用严格线性矩阵不等式得到了系统容许且严格无源的充分必要条件.在无源分析的基础上,针对状态方程和输出方程均含有控制的离散系统,利用矩阵不等式分析状态反馈控制下闭环系统容许且严格无源的条件,同时给出了控制器的设计方法.最后举例说明了本文方法的有效性,同时从仿真算例也可以看出,离散广义系统无源的严格LMI条件比非严格LMI条件简洁易判断.

Passive Analysis and Control for Discrete-Time Singular Systems

The strict passivity of a class of discrete-time singular systems is analyzed.A sufficient and necessary condition is given by means of strict linear matrix inequality(LMI) for the systems to be admissible and strictly passive.Based on the passive analysis and aiming at the discrete-time systems in which both state and output equations involve the control,the condition that is admissible and strictly passive for the closed-loop system is also analyzed via LMI under the control of state feedback,and the design method of the controller is given.A simulation example is presented to illustrate the effectiveness of the proposed method and show that the condition of strict LMI is simpler and easier to draw the same conclusion in comparison with the condition of non-strict LMI.