This paper deals with the finite-time interval observer design method for discrete-time switched systems subjected to disturbances. The disturbances of the system are unknown but bounded. The framework of the finite-time interval observer is established and the sufficient conditions are derived by the multiple linear copositive Lyapunov function. Furthermore, the conditions which are expressed by the forms of linear programming are numerically tractable by standard computing software. One example is simulated to illustrate the validity of the designed observer.

中文翻译：

---

离散时间切换系统的有限时间间隔观测器设计：一种线性规划方法

本文讨论了受扰动的离散时间切换系统的有限时间间隔观测器设计方法。系统的扰动未知但有界。建立了有限时间间隔观测器的框架，并通过多元线性共正Lyapunov函数推导出充分条件。此外，由线性规划形式表示的条件可以通过标准计算软件进行数值处理。仿真一个例子来说明所设计观测器的有效性。