离散时间H_∞性能下界研究方法  

Lower bound for discrete-time H_∞ performance

作　　者：王宏霞[1] 张焕水[2] 俞立[1] 陈欣[1] 

机构地区：[1]浙江工业大学信息工程学院,杭州310023 [2]山东大学控制科学与工程学院,济南250061

出　　处：《哈尔滨工业大学学报》2014年第6期123-128,共6页Journal of Harbin Institute of Technology

基　　金：国家自然科学基金资助项目(61203045);浙江省自然科学基金资助项目(LQ14F030004)

摘　　要：为了缩小二分法求解最优H∞性能的搜索范围,降低搜索代价,采用状态空间分析法,提出了一种获取H∞性能下界的方法.与一般方法不同,根据此方法所得的下界仅跟H2Riccati方程的解有关,而不被卷入该Riccati方程的计算.因此,下界的获取简单.不仅如此,该方法还能揭示最优性能与H∞性能(包括最优控制与H∞控制,最优估计与H∞估计)间的区别和联系、分析多扰动通道对H∞性能的影响以及可预演扰动的有效利用对H∞性能的改善.The paper aims to provide an approach to obtain a lower bound of H∞ control performance in state space. It is not involved in algebraic manipulation of Riccati equation and only concerned with the solution to the standard H2 Riccati equation. As a consequence, the approach can help one to narrow the optimal H∞, performance search via bisection method to a smaller range and considerably reduce the search cost. In addition, the approach enables us to have an insight into not only the link and difference between the optimal performance and the H∞ performance including the optimal control and H∞ control performance, the optimal estimation and the H∞ estimation, but also the impact of the muhiple-channel disturbances or previewable disturbance on the H∞ control performance.

关 键 词：H2控制 H∞控制 RICCATI方程 线性二次 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]