Stability analysis for discrete-time linear systems with state saturation

被引：0

作者：

Qian M.-X. ^{[1
]}

Ji X.-F. ^{[2
]}

机构：

[1] School of Finance & Economics, Jiangsu University, Zhenjiang

[2] School of Electrical and Information Engineering, Jiangsu University, Zhenjiang

来源：

Kongzhi yu Juece/Control and Decision | 2016年 / 31卷 / 08期

关键词：

Discrete-time; Iterative linear matrix inequality; Stability analysis; State saturation nonlinearity;

D O I：

10.13195/j.kzyjc.2015.0910

中图分类号：

学科分类号：

摘要：

The stability analysis for a class of discrete-time linear systems with state saturation nonlinearity is concemed. By introducing a free matrix with infinity norm less than or equal to 1 and a diagonal matrix with nonpositive diagonal elements, the state of this discrete-time linear system under state saturation constraint is confined in a convex hull. In this way, a criterion for discrete-time linear systems with state saturation to be asymptotically stable is obtained in terms of bilinear matrix inequalities that can be resolved by using the presented iterative linear matrix inequality algorithm. Based on this criterion, the state feedback control law synthesis problem is also resolved and the corresponding iterative linear matrix inequality algorithm is given. A further study shows that the space division method can be also applied to solve this problem with less conservativeness. Numerical examples are used to illustrate the effectiveness and correctness of the proposed method. © 2016, Editorial Office of Control and Decision. All right reserved.

引用

页码：1475 / 1480

页数：5

共 14 条

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