多胞型变参数系统的网络化状态反馈镇定  

Stabilization of Polytopic Parameter-Varying Systems via Networked State Feedback

作　　者：李玮[1,2] 王青[1] 董朝阳[3] 

机构地区：[1]北京航空航天大学自动化科学与电气工程学院,北京100191 [2]中国舰船研究院,北京100192 [3]北京航空航天大学航空科学与工程学院,北京100191

出　　处：《信息与控制》2014年第4期440-446,共7页Information and Control

基　　金：国家自然科学基金资助项目(61074027;61273083)

摘　　要：针对一类参数变化速率有界的多胞型变参数系统,研究其网络化状态反馈镇定问题.首先给出有界参数变化速率的多胞描述方法;在此基础上考虑网络传输所导致的系统状态时延,基于参数依赖Lyapunov-Krasovskii泛函方法和松弛矩阵处理技巧,得到网络化鲁棒控制器设计准则;进一步考虑网络时延所诱发的控制器与对象参数异步现象,给出网络化变增益控制器求解条件,降低了设计准则的保守性;最后通过数值仿真验证了所提方法的有效性.We study the problem of networked state feedback stabilization for a class of polytopic parameter-varying systems with the bounded rates of parameter variations, and then introduce a polytope modeling method so that the parameter variation rates take values from a vector polytope. Considering the state transmission delay, we obtain the design criterion of the networked robust controller based on the parameter-dependent Lyapunov-Kra- sovskii functional method and the slack matrix technique. Furthermore, with the phenomenon of parameter asynehrony between the plant and the controller, we give the synthesis condition of the networked gain-scheduled controller, which qualifies relatively lower conservativeness. Numerical simulations illustrate the effectiveness of the proposed method.

关 键 词：多胞型系统 网络控制系统 变增益控制 鲁棒控制 参数依赖LYAPUNOV函数 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]