离散网络控制系统的H_∞控制器设计

H_∞ Controller Design for Discrete Network Control System

文中研究了一类具有数据丢包和网络噪声的离散网络控制系统控制器设计问题。针对这类系统,同时考虑了传感器和执行器及控制器和传感器之间由于网络带来的数据丢包和噪声问题,假设丢包满足已知概率的Bernoulli分布,网络噪声都为能量有界的白噪声。采用线性矩阵不等式方法给出了H∞控制器存在的充分条件,所设计的控制器使得闭环控制系统达到均方渐近稳定并满足给定的H∞性能指标小于一个定值γ。最后仿真结果验证了该设计的可行性,并分析了丢包概率的不同和有无噪声对系统的影响。

Research the discrete network control system design problems with data packet dropouts and network noise. Aiming at this sys- tem ,data packet dropouts and network noise problems are considered in both sensor-to-controller and controller-to-actuator sides. As- sume that the probability of packet dropout meets known Bernoulli distribution, network noise is white energy bounded noise. Use the lin- ear matrix inequality （LMI） to give the sufficient conditions of H-infinite controller, so that the closed-loop system is mean square as- ymptotically stable and guarantees a given H-infinity performance. Finally,the simulation result demonstrates the feasibility, and analyzes the case under different packet dropout rates and whether there is network noise or not.