On l2 stabilization of linear systems with quantized control

被引：16

作者：

Kameneva, Tania ^{[1
]}

Nesic, Dragan ^{[1
]}

机构：

[1] Univ Melbourne, Dept Elect & Elect Engn, Parkville, Vic 3010, Australia

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2008年 / 53卷 / 01期

关键词：

disturbances; l(2) stabilization; quantized feedback;

D O I：

10.1109/TAC.2007.914230

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper extends results from [D. Liberzon and D. Nesic, "Input-to-state stabilization of linear systems with quantized feedback," IEEE Trans. Autom. Control, vol. 52, no. 5, pp. 767-781, May 2007], where input-to-state stabilization (ISS) of linear systems with quantized feedback was considered. In this paper, we show that, by using the same scheme and under the same conditions as in D. Liberzon and D. Nesic, "Input-to-state stabilization of linear systems with quantized feedback," IEEE Trans. Autom. Control, vol. 52, no. 5, pp. 767-781, May 2007, it is also possible to achieve (nonlinear gain) l(2) stabilization for linear systems. We also prove a new lemma on K(infinity) functions that is interesting in its own right.

引用

页码：399 / 405

页数：7

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