随机时延网络控制系统的鲁棒H_∞状态反馈控制  

Robust H_∞ state feedback control for networked control system with random network-induced delay

作　　者：谢德晓[1] 黄鹤[1] 张登峰[2] 王执铨[3] 

机构地区：[1]中国电子科技集团公司南京电子工程研究所,江苏南京210007 [2]南京理工大学机械工程学院,江苏南京210094 [3]南京理工大学自动化学院,江苏南京210094

出　　处：《系统工程与电子技术》2011年第9期2072-2078,共7页Systems Engineering and Electronics

基　　金：国家自然科学基金(60804027;60974129);南京理工大学自主科研专项计划资助项目(2010ZYTS012)资助课题

摘　　要：研究了含有双随机时延的不确定网络控制系统的鲁棒H∞状态反馈控制问题。将传感器到控制器和控制器到执行器的网络时延建模为相互独立的连续时间离散状态的马尔可夫随机过程。基于此网络环境,构造时延依赖的控制器,将不确定网络控制系统转化为马尔可夫跳变系统。通过Lyapunov-Krasovskii泛函方法和新的矩阵不等式技术,给出了系统随机稳定且满足H∞性能的充分条件,并以矩阵不等式形式给出了相应的控制器设计方法。最后,给出了仿真算例,验证了该方法的有效性。The problem of robust H∞ state feedback control is studied for uncertain networked control systems with two additive random network-induced delays. Both sensor-to-controller delay and controller-to-actuator delay are taken into consideration. The network-induced delays are modeled as two continues-time discrete states Markov chains which are mutually independent. The uncertain networked control system is converted to a Markovian jump linear system with two additive random delays. By using the Lyapunov-Krasovskii functional method and a new technique of inequality, the sufficient conditions on stochastic stability and H∞ performance for the uncertain networked control system are given. The corresponding controller design methods are proposed in terms of linear matrix inequality. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.

关 键 词：网络控制系统 马尔可夫跳变系统 H∞控制 随机时延 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]