不确定系统鲁棒LQ设计的稳定裕度分析和工程应用研究  

Robust stability margin analysis of LQ design for uncertain linear systems

作　　者：薛安克[1] 蒋楠[1] 王建中[1] 

机构地区：[1]杭州电子工业学院智能信息与控制技术研究所,浙江杭州310037

出　　处：《控制理论与应用》2003年第4期596-598,602,共4页Control Theory & Applications

基　　金：国家自然科学基金(69874036;60174029);浙江省自然科学重点基金(ZD9905)

摘　　要：针对不确定线性系统,研究鲁棒LQ设计的稳定裕度分析问题。首先提出不确定系统α_0裕度稳定鲁棒界,针对结构和非结构不确定系统,分别给出了鲁棒LQ控制系统的鲁棒稳定裕度性分析方法,进一步给出对结构不确定系统优化鲁棒界的算法。最后是造纸打浆过程实例的鲁棒稳定裕度性分析以及相应仿真结果。The problem of robust stability margin analysis of robust LQ design for uncertain linear systems was discussed. Based upon a modified'robust difference equality, a robust bound with a0 stability margin was presented. Then, robustness analysis approaches of robust LQ design for structured and unstructured uncertain systems were proposed respectively. For structured uncertain systems, an approach was presented to improve the robustness through selecting a proper parameter and weighting matrices. A design example of paper making process was given and corresponding simulation results were offered as well.

关 键 词：不确定系统 鲁棒LQ设计 稳定裕度分析 线性二次最优控制 造纸 打浆过程 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]