This paper investigates the problem of observer-based control for cyber-physical systems (CPSs) with incomplete measurements. The CPSs are described as a class of nonlinear strict-feedback systems. When data transmission problems, such as information packet losing or transmission medium saturation, occur, the state variables become unavailable or distorted. To solve these problems, two-state estimators are constructed for different transmission cases, based on which two backstepping controllers are designed. The stability conditions of the state estimators and closed-loop system are derived by solving a linear matrix inequality (LMI). It is proved that the control methods can guarantee that all the signals of the closed-loop system are uniformly ultimately bounded (UUB) in mean square. The effectiveness of the proposed methods is confirmed by a simulation example.

本文研究了测量不完整的信息物理系统（CPS）的基于观察者的控制问题。CPS 被描述为一类非线性严格反馈系统。当发生数据传输问题，如信息包丢失或传输介质饱和时，状态变量将变得不可用或失真。为了解决这些问题，针对不同的传输情况构建了两态估计器，并在此基础上设计了两个反推控制器。状态估计器和闭环系统的稳定性条件是通过求解线性矩阵不等式（LMI）得到的。证明了该控制方法可以保证闭环系统的所有信号均方一致最终有界（UUB）。