作　　者： ; ;

机构地区： 东北大学信息科学与工程学院

出　　处： 《东北大学学报（自然科学版）》 2005年第1期9-12,共4页

摘　　要： 所研究的切换系统是由几个线性离散子系统组成的,并且每个子系统都是H∞可解的·由于多个稳定的子系统所组成的切换系统在某些切换下可能是不稳定的,所以它不能是任意切换下H∞可解的·从有界实引理出发,利用共同Lyapunov函数方法,给出了这类系统在任意切换下均能保持H∞可解的充分条件,并且该条件可以用易于求解的线性矩阵不等式组的形式表出·最后,以一个仿真实例表明了结果的有效性· The problem of stability with H_∞ performance for a class of linear discrete-time switched systems is discussed under the action of arbitrary switching. The system taken into consideration consists of several linear discrete-time subsystems of which each is stable with H_∞ performance. It is well known that the switched system may be unstable under some switching actions between asymptotically stable subsystems, so it is not certainly stable with H_∞ performance under the action of any switching. Based on the known bounded real lemma, a sufficient condition for the solvability of the problem is given in terms of linear matrix inequalities (LMIs) by using common Lyapunov function method. A simulation of a practical example is conducted to show the effectiveness of the result.

关 键 词： 线性离散切换系统 切换 可解 共同 函数 线性矩阵不等式

领　　域： [自动化与计算机技术] [自动化与计算机技术]