Lyapunov-Krasovskii Functionals for Predictor Feedback Control of Linear Systems with Multiple Input Delays

被引：0
|
作者：
Li, Zhao-Yan [1 ]
Zhou, Bin [2 ]
Lam, James [3 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
[2] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China
[3] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
来源：
2014 33RD CHINESE CONTROL CONFERENCE (CCC) | 2014年
关键词：
Asymptotic stability; Lyapunov-Krasovskii functionals; Predictor feedback; Time-delay systems; ROBUST STABILITY; NEUTRAL-TYPE; STATE DELAY; UNCERTAIN; STABILIZATION; CRITERIA;
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 the Lyapunov-Krasovskii functional construction of linear control systems with multiple input delays. By transforming the predictor feedback control systems into a delay-free linear system with external inputs, a Lyapunov-Krasovskii functional is constructed in terms of a set of linear matrix inequalities (LMIs). It is shown that the solvability of this set of LMIs is equivalent to the asymptotic stability of the delay-free linear system induced from the predictor feedback control system. The proposed Lyapunov-Krasovskii functional is also found to be an ISS Lyapunov-Krasovskii functional for the predictor feedback control systems. An example is worked out to validate the effectiveness of the proposed method.
引用
收藏
页码：6136 / 6141
页数：6
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