Quadratic stabilization for linear time-delay systems with a logarithmic quantizer

被引：6

作者：

He, Yan ^{[1
]}

Wang, Yue-E ^{[2
]}

Li, Xin-Mei ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Control Sci & Engn, Dalian 116024, Peoples R China

[2] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710119, Peoples R China

来源：

NEUROCOMPUTING | 2016年 / 173卷

基金：

中国国家自然科学基金;

关键词：

Logarithmic quantizer; Quadratic stabilization; Control Lyapunov functionals; The sector bounded; STABILITY; DESIGN;

D O I：

10.1016/j.neucom.2015.08.039

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we study quantized and delayed state feedback control of the linear time invariant (LTI) systems by considering the logarithmic quantizer and the quantized control input. The concepts of quadratic stabilization and control Lyapunov functionals (CLFs) are extended to the LTI systems with delays and quantized signals. After generalizing the sector bounded approach into LTI systems, we propose that a LTI time-delay system via the linear state feedback and quantization is quadratic stabilization if and only if the corresponding uncertain auxiliary system is quadratic stabilization under the case of the single control input or the multiple control inputs. Two examples are provided to illustrate the effectiveness of the proposed methods. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：1995 / 2000

页数：6

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