Stabilization and Exponential Estimation of Linear Discrete-Time Systems with Input and State Delays Base on a Novel Controller Design Approach

被引：0
|
作者：
Li, Haifang [1 ,2 ]
Wang, Xin [1 ,2 ]
Xue, Yu [1 ,2 ]
机构：
[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
[2] Heilongjiang Univ, Heilongjiang Prov Key Lab Theory & Computat Compl, Harbin 150080, Peoples R China
来源：
2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC) | 2019年
基金：
中国国家自然科学基金;
关键词：
Linear discrete system; Exponential estimate; Lyapunov-Krasovskii functional; STABILITY ANALYSIS; FEEDBACK-CONTROL; INEQUALITY;
D O I：
暂无
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 is concerned with two problems for linear discrete-time systems with input and state delays. The first one is to design a stabilization controller. Anther one is to give the exponential estimation of the closed-loop systems. To this and, we first define matrices and use them to represent the state of the system, and then give the concrete expression of the novel controller. Secondly, define a Lyapunov matrix and construct a Lyapunov-Krasovskii functional. At the same time, the upper and lower bounds of this Lyapunov-Krasovskii functional will be given. Thereby, by employing Lyapunov-Krasovskii functional approach, the exponential estimation of the closed-loop systems is obtained. Finally, two numerical examples illustrate the validity of the conclusion.
引用
收藏
页码：5212 / 5216
页数：5
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