变采样周期网络控制系统的模态依赖的H_∞预测控制  

Mode dependent H_∞ predictive control of networked control systems under variable-period sampling

作　　者：于水情[1,2] 李俊民[1] 

机构地区：[1]西安电子科技大学理学院,陕西西安710071 [2]西安财经学院统计学院,陕西西安710100

出　　处：《西安电子科技大学学报》2012年第5期113-118,180,共7页Journal of Xidian University

基　　金：国家自然科学基金资助项目(60974139);中央高校基本科研业务费专项资金资助项目(72103676)

摘　　要：研究了一类具有随机时延和外部扰动的网络控制系统的H∞预测状态反馈控制器的设计问题.利用变采样周期的方法,将连续的网络控制系统离散化,从而建模为部分转移概率未知的马尔可夫跳变线性系统.利用一步性能函数,给出了保证整个闭环系统随机渐进稳定且具有性能指标上界的充分条件,通过线性矩阵不等式的方法,给出了预测状态反馈控制器的设计方法。An H∞ predictive control problem is investigated for a class of networked control systems with random delays and disturbances. Applying the variable-period sampling method, the networked control system is discretized and modeled as a Markovian jump linear system with partly unknown transition probabilities. By using the one-step cost function, sufficient conditions are presented to guarantee asymptotical stability and an upper bound of the performance index for the closed-loop system. The design procedure for the state feedback controller is also derived based on the linear matrix inequality method. Finally, an example is presented to illustrate the effectiveness of the proposed method.

关 键 词：网络控制系统 预测控制 变采样周期 部分转移概率未知 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]