摘要
针对一类含有不确定性和时滞的离散切换系统,探讨了H∞性能分析问题。假设所考虑的线性不确定性具有线性分式形式,综合利用Lyapunov-Krasovskii函数和Finsler’s引理,给出判断系统满足H∞性能界γ的充分条件,并且γ的上界可以通过求解一组线性矩阵不等式获得。最后通过一个数值算例说明方法的有效性。
The problem of robust H∞-performance analysis for a class of uncertain discrete-time switched systems with time-delay is investigated.The uncertainty considered here is assumed to be linear fractional.Combined the switched Lyapunov-Krasovskii function method with Finsler＇s Lemma,a condition is derived to check the robust asymptotically stability with a prescribed H∞ norm bound γ.Furthermore,the upper bound of γ can be obtained by a convex optimization problem with a set of linear matrix inequalities（LMIs） constraints.A numerical example demonstrates the effect of the proposed approach.
出处
《信息技术》
2012年第1期92-95,100,共5页
Information Technology
