变时滞不确定离散系统的指数镇定

Exponential stabilization for a class of discrete systems with uncertainties and time-varying delays

考虑一类变时滞离散不确定系统的指数镇定问题,其中,不确定性满足范数有界条件。通过构造适当的Lyapunov泛函,得出了系统时滞相关的指数稳定判据,并以矩阵不等式表示。在此基础上研究系统指数镇定反馈控制器的设计方法,分别给出了当滞后为常数时,系统指数稳定和镇定的充分条件。数值算例表明方法的有效性。

The problem of exponential stabilization for a class of discrete systems with uncertainties and time - varying delays is studied, where the uncertainties satisfy norm bounded conditions. A new delay -dependent exponential stable criterion is proposed by using an appropriate Lyapunov functional and expressed in terms of matrix inequalities. The problem of state feedback control is then investigated on the proposed exponential stable criterion. Meanwhile, sufficient conditions on exponential stability and exponential stabilization of the system with constant tine -delay are given, respectively. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed method.