一种有限频域内的有界实引理

A Bounded Real Lemma in Finite Frequency

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。

Abstract:

In order to overcome the design conservation, the traditional bounded real lemma (BRL) in finite frequency wasimproved, and the new lemma was deduced. Firstly, the new BRL was given directly. Secondly, the new theorem wasproved 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.