具有丢包和非均匀分布时延的网络控制器设计

研究了一种同时存在丢包和非均匀分布时延的离散时间网络控制系统的控制器设计问题.通过区分丢包和时延对系统性能的影响,并考虑时延的非均匀分布特性,首先构造了新的离散时间网络控制系统的模型;然后提出新的Lyapunov泛函并利用线性矩阵不等式方法,给出了控制器的设计方法,并优化了系统性能.不同于现有文献中将时延中点作为非均匀分布时延的分界点的做法,本文给出了一个分界点优化选取算法.最后通过数值例子验证了本文给出的镇定控制器设计的有效性.

Controller Design for Networked Control Systems Considering Packet Dropouts and Non-uniformly Distributed Delays

Stabilizing controller design was discussed for discrete-time networked control systems (NCSs) considering packet dropouts and non-uniformly distributed delays. According to the influence of packet dropouts and network-induced delays separately on system performance and taking account of the non-uniform distribution of the delays, a new model for a discrete-time NCS was established. Then, a new Lyapunov functional was constructed, based on which a stabilizing controller was designed by combining with the linear matrix inequalities (LMIs). And the performance of the considered system was optimized. For dividing the non-uniformly distributed delays, a new algorithm was presented to choose a proper dividing point instead of a midpoint used as a demarcation point in the existing methods. A numerical example illustrates the effectiveness of the proposed stabilizing controller design.