一类线性离散网络控制系统的稳定性准则

Stability Criteria for a Class of Linear Discrete-time Networked Control Systems

研究了一类线性离散网络控制系统的稳定性问题.通过引入增广矩阵,改进现有一些研究的Lyapunov-Krasovskii泛函;同时为了利用更多的时滞信息,引入了三重求和项.采用离散形式的Wirtinger不等式方法和凸组合方法,通过LMIs形式给出了一类线性离散网络控制系统稳定性准则.最后,通过数值示例验证了所采用方法的有效性.

In this paper,the stability problems for a class of linear discrete-time networked control systems are studied.An augmented matrix is introduced to improve the Lyapunov-Krasovskii functional of some existing literatures;at the same time,in order to make use of more time-delay information,the triple summation term is introduced.By using the discrete Wirtinger-based inequality and the reciprocally convex approach,the stability criteria for a class of linear discrete-time networked control systems are given in the form of LMIs.Finally,numerical examples are given to demonstrate the effectiveness of the methods used in this paper.