摘要
研究了一类具有网络诱导时延和数据包丢失的不确定网络控制系统的鲁棒H∞控制问题.通过增广系统状态,将反馈通道和前向通道均存在短时延和丢包的网络控制系统建模为包含4个子系统的切换系统,基于增广系统模型提出新形式的静态输出反馈控制律.结合时窗丢包率概念与平均驻留时间方法,得到保证闭环网络控制系统鲁棒渐近稳定且满足鲁棒加权H∞性能指标的充分条件.基于线性矩阵不等式处理技巧与锥补线性化算法,给出双通道丢包依赖的变增益输出反馈鲁棒H∞控制器设计步骤.设计实例验证了所提控制方法的有效性.
The H∞ control problem was addressed for a class of networked control systems (NCSs) with network-induced delays and packet dropouts. For the case that short delays and packet dropouts existed in both the backward and the forward channels, the NCS was modeled as a switched system with four subsystems via system states augmentation. A new type of static output feedback control law was proposed based on the augmented system model. By using the notion of time-window packet dropout rate and the average dwell time method, sufficient conditions was obtained for the robust stability and the weighted H~ performance of the closedloop NCS. To achieve synthesis of the output feedback robust H∞ controller, for which the gain varied according to the mode of packet dropouts of dual channels, design procedures were given by applying the linear matrix inequality technique and the cone complementarity linearization algorithm. The effectiveness of the proposed approach was validated by a design example.
出处
《东北大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
2014年第6期774-779,共6页
Journal of Northeastern University(Natural Science)
基金
国家自然科学基金资助项目(61074027
60974014)
关键词
网络控制系统
网络诱导时延
数据包丢失
切换系统
鲁棒H∞控制
networked control systems (NCSs)
network-induced delays
packet dropouts
switched systems
robust H∞ control