不确定长时延网络控制系统的H_∞鲁棒控制

Robust H∞ Control of Networked Control Systems with Uncertain Long Time Delay

在状态不完全可测的网络控制系统中,针对不确定网络长时延、网络噪声等问题系统性能造成的影响,研究了一类具有不确定长时延网络控制系统的H∞鲁棒控制问题。在不确定网络时延大于一个采样周期时,将采用动态输出反馈的网络控制系统建模为一类具有参数不确定性的线性离散系统。基于Lyapunov稳定性理论和线性矩阵不等式(LMI)方法,导出了闭环系统渐近稳定且满足给定H∞性能指标的充分条件,并给出了输出反馈控制器的设计方法。通过仿真算例证明了该方法的有效性。

The problems of uncertain long network time delay and network noise in the networked control systems （NCS） with incompletely observable are discussed. The robust H∞ control of a class of networked control systems with uncertain long time delay is studted. When the uncertain network induced delay is large than a sampling period, with dynamic output feedback controller is modeled as a parameter uncertain linear discrete time system. Based on Lyapunov stability theory and linear matrix inequality （ LMI ）, a sufficient condition for NCS subject to the asymptotic stability and H∞ performance is derived, and the design approach of output feedback controller is given. The simulation result shows the validity of the proposed approach.