具有长时延及丢包的网络控制系统H∞ 鲁棒滤波

研究了同时具有大于一个采样周期的随机传输时延及数据包丢失的网络控制系统H∞滤波问题.对于给定的丢包率,滤波误差系统被建模为具有两个事件速率约束的异步动态系统,利用异步动态系统理论给出滤波误差系统满足指数稳定和H∞性能指标的充分条件.H∞滤波器可通过解一组线性矩阵不等式求出.仿真结果验证了所提出方法的有效性.

H∞ filtering for networked control systems with long time-delay and data packet dropout

The ??∞ filtering for networked control systems with stochastic transmission delay longer than a sampling period
and data packet dropout is studied. For the given packet dropout, the filtering error system is modeled as an asynchronous
dynamical system with rate constraints on two events. The sufficient condition for guaranteeing the exponential stability
and the ??∞ constraint of the filtering error system is given by using the theory of asynchronous dynamical systems.
The corresponding filter is designed by solving a set of matrix inequalities. The simulation result shows the validity and
effectiveness of this method.