基于广义状态观测器的广义系统稳定性分析

Stability Analysis for Singular System Based on Singular State Observer

对于同时具有时延和数据包丢失的正则无脉冲且能检的广义网络控制系统,在传感器采用时钟驱动及控制器和执行器采用事件驱动的条件下,假设传输时延小于一个采样周期且网络中的数据包丢失率一定的情况下,将该系统建模为异步动态系统.同时由于状态观测器能够保持系统的结构性,因此在给定原系统状态反馈控制器的前提下,利用广义李雅普诺夫函数和线性矩阵不等式方法验证观测器系统的指数稳定性.最后仿真实例证明了该方法的有效性.

In the condition of sensor adopted time driven and controller and actuator adopted event driven assuming that the transfer delay is shorter than the sampling period and the lose rate of date packet transfer is given, the singular networked control system was modeled as an asynchronous dynamical system for a class of the regular, impulsive-free and impulsive observable singular networked control systems with delay and date packet dropout. At the same time, state observer keeps structural of the systems, so based on the state feedback controller of the original system, the stability conditions of the system were proved with the Lyapunov function and LMI method. At last, a simulation example revealed the effectiveness of the proposed method.