一类网络控制系统的建模与稳定性分析

针对一类具有不确定网络诱导时延和线性控制对象的网络控制系统,通过将网络诱导时延描述为一个常值再叠加一个不确定值的形式,重新描述了采样控制系统的数字控制器,将网络控制系统建模为一类具有不确定时延的连续时间系统.利用Lyapunov方法和线性矩阵不等式技术,推导出了闭环系统渐进稳定的充分条件.与已有的结果相比,所提出的算法具有更低的保守性,并通过一个数值算例验证了所提出算法的有效性.

Modeling and stability analysis for a class of networked control systems

Considering a class of networked control systems with uncertain network-induced delay and a linear plant, supposing the network-induced delay is a constant with an uncertain variable and rewriting the digital controller of sampled-data control system, the networked control system is modeled as a linear continue-time system with uncertain delay. By means of Lyapunov functional approach and linear matrix inequalities technique, the sufficient condition of asymptotic stability for the close-loop system is derived, which is less conservative than previous results. A numerical example is employed to illustrate the effectiveness of the proposed approach.