一类不确定网络控制系统的鲁棒H_∞控制  

The Robust H_∞ Control for A Class of Uncertain Network Control Systems

作　　者：孙文安[1] 丁卜琳[1] 邵洪艳[1] 张强[2] 

机构地区：[1]大连大学信息工程学院,辽宁大连116622 [2]大连大学先进设计与智能计算省部共建教育部重点实验室,辽宁大连116622

出　　处：《计算技术与自动化》2013年第1期6-10,共5页Computing Technology and Automation

基　　金：国家自然科学基金资助项目(31170797)

摘　　要：基于一类具有网络时延和参数不确定性的离散系统,考虑系统的网络时延小于一个采样周期,传感器是时间驱动,控制器和执行器是事件驱动。根据文中描述的系统建立模型,运用Lyapunov稳定性理论、鲁棒控制理论和线性矩阵不等式处理方法,推导出闭环控制系统渐近稳定的充分条件,并且得出鲁棒H∞控制律和其性能指标γ。最后用数值例子对所得结果加以验证,通过MATLAB LMI工具箱求解,说明文中结果的正确性。The robunt H--infinity control problem is considered for a class of network control system with time delay and the uncertainty parameters. In view of the time delay is less than one sampling period, the sensor is clock driven, the controller and the actuator are event driven. According to the description, a system model is established. The Lyapunov sta-bility theory, the robust control theory and the linear matrix inequality （LMI） processing methods are employed to develop the sufficient condition of network control system, the robust H--infinity controller and upper bound of the system are pro- posed based on these conditions. Finally, simulation results of an example with MATLAB LMI toolbox show the effective- ness of the proposed method.

关 键 词：网络控制系统 鲁棒H∞控制 线性矩阵不等式 Schur补引理 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]