凸多面体不确定线性系统的新的参数依赖有界实引理

New Parameter-dependent Bounded Real Lemma for Linear Systems with Polytopic Uncertainties

研究了凸多面体不确定线性系统的鲁棒H∞性能问题,通过提高参数依赖线性矩阵不等式关于不确定参数的阶次,给出了线性矩阵不等式描述的鲁棒H∞性能准则,并进一步给出针对不同阶次的线性矩阵不等式表示,比较分析说明了随着阶次的增大,判别条件的保守性逐渐减少.

The problem of robust H∞ performance of linear systems with convex polytopic uncertainties is investigated in this paper.By improving the degree of parameter-dependent linear matrix inequality with dependence on the uncertain parameters,the linear matrix inequality（LMI） representations of robust H∞ performance criteria are given.In addition,the linear matrix inequality representations for different degrees are presented.Comparison analysis shows that the conservativeness of the presented conditions decreases with the increase of the degrees.