一种有限频域内的有界实引理  

A Bounded Real Lemma in Finite Frequency

作　　者：张洪波 李飞[2] 路晶晶 ZHANG Hongbo LI Fei LU Jingjing(Naval Aeronautical Engineering Application Institute, Beijing 100071, China Department of Control Engineering, NAAU, Yantai Shandong 264001, China Naval 704~ Factory, Qingdao Shandong 266109, China)

机构地区：[1]海军航空工程应用所,北京100071 [2]海军航空工程学院控制工程系,山东烟台264001 [3]海军七〇四工厂,山东青岛266109

出　　处：《海军航空工程学院学报》2017年第2期227-229,260,共4页Journal of Naval Aeronautical and Astronautical University

基　　金：国家自然科学基金资助项目(61473306)

摘　　要：针对传统有限频域内有界实引理在设计时可能带来的保守性问题,对其进行了改进;引入松弛变量,推导出一类保守性较小的有限频域内的有界实引理。首先,直接给出新的有界实定理;然后,通过引进投影引理证明了新的定理。新的有界实引理不仅考虑了系统频率特性,而且在引入松弛变量后,使得多约束设计能够具有更小的保守性。In order to overcome the design conservation, the traditional bounded real lemma （BRL） in finite frequency was improved, and the new lemma was deduced. Firstly, the new BRL was given directly. Secondly, the new theorem was proved through the projection lemma. The new BRL not only considered the system frequency characteristic, but intro- duced the slack variabl which could reduce the conservatism in multi-constraints design.

关 键 词：有限频 有界实引理 松弛变量 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]