离散时间系统下的积分二次约束方法的几个问题

SOME PROBLEMS ON IQC'S OF THE DISCRETE-TIME SYSTEM

研究了离散情形下的反馈系统的稳定性问题 ,利用新近发展起来的积分二次约束( IQC)方法 ,对离散系统的反馈连接问题 ,给出了其稳定性分析准则和一些必要条件 ,这些结果适用于时不变与时变系统 .其次 ,利用已有的结果 ,得到了离散时变系统 MIMO情况下的绝对稳定性问题的一个判据 .最后 ,利用一个较强的 IQC定义 。

The stability of the feedback interconnection in the discrete time case is studied in this paper. Using the integral quadratic constraints(IQC's) methods, some stability criteria are given, some necessary conditions are also discussed. These results are suitable for both time invariant and time varying discrete systems. As an application, a stability criterion for the absolute stability in the MIMO case is given. Finally, using a stronger definition of IQC, a necessary and sufficient condition for a class of feedback interconnection is given.