| 引用本文: | 王宏霞,张焕水,俞立,陈欣.离散时间H∞性能下界研究方法[J].哈尔滨工业大学学报,2014,46(6):123.DOI:10.11918/j.issn.0367-6234.2014.06.022 |
| WANG Hongxia,ZHANG Huanshui,YU Li,CHEN Xin.Lower bound for discrete-time H∞ performance[J].Journal of Harbin Institute of Technology,2014,46(6):123.DOI:10.11918/j.issn.0367-6234.2014.06.022 |
|
| 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H2 Riccati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． |
| 关键词: H2控制 H∞控制 Riccati方程 线性二次 |
| DOI：10.11918/j.issn.0367-6234.2014.06.022 |
| 分类号:TP13 |
| 基金项目: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). |
|
| Lower bound for discrete-time H∞ performance |
|
WANG Hongxia1, ZHANG Huanshui2, YU Li1, CHEN Xin1
|
|
(1.School of Information Engineering, Zhejiang University of Technology, 310023 Hangzhou, China; 2. School of Control Science and Engineering, Shandong University, 250061 Jinan, China)
|
| Abstract: |
| 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 multiple-channel disturbances or previewable disturbance on the H∞control performance. |
| Key words: H2 control H∞ control riccati equation LQ |
