一类动态系统可靠D-稳定性条件-LMI方法  

Condition of Reliable D-Stability for a Class of Dynamic Systems-an LMI Approach

作　　者：周武能[1,2] 苏宏业[1] 褚健[1] 

机构地区：[1]工业控制国家重点实验室,浙江大学先进控制研究所,杭州310027 [2]东华大学信息科学与技术学院自动化系,上海201620

出　　处：《数学物理学报（A辑）》2008年第1期144-154,共11页Acta Mathematica Scientia

基　　金：国家自然科学基金(60503027)资助

摘　　要：考虑一类具有执行器和传感器故障的动力系统可靠鲁棒控制综合问题.提出了一个系统D-稳定的充分必要条件.基于这一充分必要条件,得到了可靠H_∞控制器存在的条件.接着用线性矩阵不等式(LMI)方法设计控制器,使闭环系统当部分控制器件出现故障时鲁棒D -稳定且具有H_∞性能.最后通过一个仿真实例说明该文给出的方法及其有效性.The synthesis problem of reliable robust control for a class of dynamic systems is considered. A practical and general faults model with sensor, actuator is addressed. A necessary and sufficient condition of D-stability is presented, based on which a sufficient condition of existence of the reliable H∞ controller is given for the case of sensor, actuator failures. The reliable H∞ controller is designed in terms of linear matrix inequalities （LMIs）, which guarantees the closed-loop to be D-stable and possesses H∞ performance when all control components are operational as well as some control components experience failures. Finally, a numerical example is given to illustrate the design procedures and the effectiveness.

关 键 词：动力系统 D-稳定性 可靠控制 线性矩阵不等式(LMI) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]