参数不确定性广义周期时变系统的鲁棒稳定性分析  

Analysis of Robust Stability for Linear Time-varying Periodically Descriptor Systems with Uncertain Parameters

作　　者：苏晓明[1] 吕明珠[1] 王刚[1] 刁成海[2] 

机构地区：[1]沈阳工业大学理学院,沈阳110023 [2]朝阳师范高等专科学校,辽宁朝阳122000

出　　处：《控制与决策》2006年第12期1383-1386,共4页Control and Decision

基　　金：辽宁省博士启动基金项目(20041024);辽宁省教育厅基金项目(202062042)

摘　　要：基于广义周期时变系统允许的充分必要条件,提出了参数不确定性广义周期时变系统鲁棒稳定的概念,并得到了该类系统鲁棒稳定的充分必要条件.研究在状态反馈控制下保证闭环系统鲁棒稳定的条件,给出了一族状态反馈鲁棒稳定器的设计方法.引入广义周期时变系统二次稳定的概念,讨论了二次稳定性与鲁棒稳定性的关系.最后通过数值算例说明了所得的主要结果.Based on the necessary and sufficient condition of admissibility for linear periodically descriptor systems with uncertain parameters, a concept of robust stability is put forward. A necessary and sufficient condition is obtained for linear time-varying periodically descriptor systems with uncertain parameters to be robust stable. Then, a condition for the close-loop system under state feedback to be robust stable is derived, with state feedback robust controllers designed. The notion of quadratic stability is introduced, and the relation between quadratic stability and robust stability is discussed. Finally, numerical examples demonstrate the proposed results.

关 键 词：参数不确定性 广义周期时变系统 线性矩阵不等式 鲁棒稳定性 二次稳定性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]