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
收藏
页码：200146 / 200156
页数：11
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