基于观测器的网络控制系统均方指数稳定控制器设计

Observer-Based Mean Square Exponential Stabilization of Networked Control Systems

针对具有随机时延、状态难以测量等问题的网络控制系统,提出一种基于状态观测器的均方指数稳定控制器设计方法.使用变采样周期的方式将网络控制系统离散化,将系统建模为马尔科夫跳变系统,然后设计了基于状态观测器的反馈控制器,证明了闭环系统的均方指数稳定性,通过求解线性矩阵不等式给出了观测器和控制器反馈增益设计方法.仿真结果验证了所提设计方法的有效性.

In order to tackle the stochastic time delay and state measurement obstacle in networked control systems,an observer-based mean square exponential stabilization controller was proposed in this paper. Firstly,the considered networked system was discretized by variable-period sampling and was modelled as a Markov jump system. Then,an observer and feedback controller was constructed. The mean square exponential stability of the closed loop system was shown. The observer and feedback gain was given by solving linear matrix inequalities. Simulation results demonstrated the effectiveness of the proposed method.