Stabilization and L2 - Gain Performance of Periodic Piecewise Impulsive Linear Systems

被引：2

作者：

Liu, Yongzhuang ^{[1
]}

Song, Yang ^{[1
,2
]}

Qu, Haibo ^{[1
]}

Chen, Zhi ^{[1
]}

机构：

[1] Shanghai Univ, Sch Mechatron Engn & Automat, Dept Automat, Shanghai 200444, Peoples R China

[2] Shanghai Key Lab Power Stn Automat Technol, Shanghai 200444, Peoples R China

来源：

IEEE ACCESS | 2020年 / 8卷

基金：

中国博士后科学基金;

关键词：

Periodic piecewise impulsive linear system; stability; stabilization; L-2-gain performance; time-varying Lyapunov function; H-INFINITY CONTROL; GUARANTEED COST CONTROL; JOINT SPECTRAL-RADIUS; TIME SWITCHED SYSTEMS; EXPONENTIAL STABILITY; NONLINEAR-SYSTEMS; L-2-GAIN ANALYSIS; NETWORKS;

D O I：

10.1109/ACCESS.2020.3035024

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 deals with the stability, stabilization and L-2- gain problem of periodic piece-wise impulsive linear system. Firstly, by developing a new Lyapunov function called multiple piecewise time-varying Lyapunov function, a sufficient condition that guarantee the system lambda*- exponentially stable is established. Moreover, a state-feedback controller is designed to stabilize the system. Then L-2 - analysis is investigated to obtain a result that guarantee the system lambda* - exponentially stable and with L-2 - gain performance. Finally, numerical simulation examples are provided to verify the effectiveness of the results proposed in this paper.

引用

页码：200146 / 200156

页数：11

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