Non-fragile finite-time dissipative piecewise control for time-varying system with time-varying delay

被引：4
|
作者：
Chen, Menghua [1 ,2 ]
Sun, Jian [1 ,2 ]
机构：
[1] Beijing Inst Technol, Sch Automat, Beijing 100081, Peoples R China
[2] Key Lab Intelligent Control & Decis Complex Syst, Beijing 100081, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2019年 / 13卷 / 03期
基金：
中国国家自然科学基金;
关键词：
linear matrix inequalities; delays; feedback; iterative methods; control system synthesis; Lyapunov methods; time-varying systems; performance index; finite-time dissipative control; time-varying system; nonfragile piecewise feedback controllers; piecewise feedback nonfragile controller gains; time-varying delay; nonfragile finite-time dissipative piecewise control; finite-time bounded; piecewise Lyapunov functional; reciprocally convex approach; dissipative performance index; LMI-based iterative algorithm; OUTPUT-FEEDBACK CONTROL; H-INFINITY CONTROL; LINEAR-SYSTEMS; DYNAMICAL-SYSTEMS; STABILIZATION; STABILITY; OBSERVER; CRITERIA;
D O I：
10.1049/iet-cta.2018.5771
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 study is concerned with the problem of non-fragile finite-time dissipative (FTD) control for time-varying system with delay. The delay is time varying and belongs to a given interval. Finite-time bounded (FTB) and FTD concepts are introduced to time-varying system with delay. First, new FTB conditions are derived for time-varying system with delay by using a piecewise Lyapunov functional combined with reciprocally convex approach. Second, FTD conditions are obtained to guarantee that the time-varying system with delay is not only FTB but also satisfies a dissipative performance index. Moreover, based on the FTD conditions, the non-fragile piecewise feedback controllers are designed in terms of linear matrix inequalities (LMIs). In addition, an LMI-based iterative algorithm is given to obtain the piecewise feedback non-fragile controller gains. Finally, numerical examples demonstrate the effectiveness of the proposed method.
引用
收藏
页码：321 / 332
页数：12
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