基于区域极点约束的鲁棒H_2控制(英文)  

Robust H_2 Control with Regional Stability Constraints

作　　者：夏元清[1] 韩京清[1] 

机构地区：[1]中国科学院数学与系统科学研究院系统科学研究所,北京100080

出　　处：《自动化学报》2004年第3期321-329,共9页Acta Automatica Sinica

基　　金：Supported by National Natural Science Foundation of P. R. China(60174027)

摘　　要：考虑了在区域极点约束下状态反馈的鲁棒H2控制问题.分别对含多面体不确定性的连续和离散系统进行了讨论.基于LMI,给出了存在参数相关的Lyapunov矩阵的充分条件.利用LMI凸优化方法的解,所得静态反馈控制器,不仅保证闭环系统的极点在一给定区域内,而且还使性能指标H2的一上界达到最小.The problem of static state feedback robust H2 control with regional stability constraints for the closed-loop system is considered. Both continuous and discrete-time systems with polytopic uncertainty are investigated. A new LMI-based sufficient condition for the existence of parameter-dependent Lyapunov functions is proposed. Static state feedback controllers required are not only guaranteed to satisfy all closed-loop poles to stay inside a specified region for all admissible parameter uncertainties, but also provide an upper bound for the H2 cost function, which is minimized using LMI convex optimization approach.

关 键 词：多面体不确定性 鲁棒控制 区域稳定性 矩阵不等式 优化 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]