网络控制系统稳定性的图理论

针对具有有界时延和数据包丢失的网络控制系统,提出了一种新的稳定性判据.基于Lyapunov方法和图论理论,给出非线性离散和连续网络控制系统渐近稳定的充分条件,获得保持这两类系统稳定的最大允许时延界,得到控制器设计方法.并且,利用区间矩阵的谱特征,给出网络控制系统区间稳定的充分条件.设计算法,获得比例积分反馈控制器增益.算例表明所提方法的有效性。

A new criterion on stability is presented for networked control systems with bounded time-delays and data packet dropout. Based on the Lyapunov method and the graph theory, we develop the sufficient conditions of the asymptotic stability for nonlinear discrete-time and continuous-time networked control systems, respectively. The allowable upper bounds of time-delays that will preserve the stability of the two classes of systems are determined; and the process of controller design is presented. Moreover, a s...

国家自然科学基金资助项目(60574011,60434030)